Abstract
In order to obtain the influence of different seismic motion input modes on the performance of isolated structures with different seismic measures, the two aspects from near-fault seismic motion velocity pulse input and different dimension seismic motion input modes are studied. The finite element model of traditional seismic and base isolation frame structure with different aspect ratios is established. The actual near-seismic strong earthquake record with forward directional effect and slipping speed pulse is used as the input method of structural seismic motion to carry out nonlinear dynamics. The different dimensional seismic motion input method is selected as the quantitative, the tensile–compression stiffness ratio is the variable, and the time-history analysis of the isolation performance of a high-rise isolated structure is carried out. The experimental results show that for structures with an aspect ratio H/B of 1, 2, 3, and 4, the smaller the aspect ratio is, the better the damping effect is; the different dimensional vibration input has less isolation performance for the isolation bearing. From small to large, it is: one-dimensional vibration input, two-dimensional vibration input, three-dimensional vibration input.
1 Introduction
Earthquakes can release huge amounts of energy and cause strong damage to buildings, especially tall buildings. The emergence of isolation technology has made the building structure more resistant to earthquakes [1,2]. The isolation can concentrate the deformation of the structure on the isolation layer, prolong the natural vibration period of the structure, and reduce the acceleration of the isolation structure, thereby reducing the reaction of the upper structure and achieving the purpose of damping.
Japan is currently the country with the best development of isolation technology, and it has the largest number of isolated structures. The development of isolation technology in the United States is also a world leader, and its isolated buildings are mainly concentrated in the California area [3,4,5]. In addition, the isolation technology in countries, such as Italy, New Zealand, and Armenia, has a fairly advanced level of development. Seismic isolation technology has become one of the effective means of seismic and shock absorption of high-rise structures with its excellent shock absorption effect, safety and applicability, and has been widely promoted and applied [6]. China’s research on isolation technology started in the early 1990s, and then experienced a gradual development period, and achieved rapid development after the Wenchuan earthquake. In the Ya’an earthquake in 2010, only the Lushan County Lushan People’s Hospital with isolated construction technology remained intact, which further aroused people’s attention and research on isolated building technology. Up to now, China’s research and application of isolation technology has been relatively mature, and has gradually become an important structural vibration control technology.
In recent decades, several major earthquakes at home and abroad have brought enormous disasters and losses to human beings, such as the 1994 Northridge earthquake in Los Angeles, the 1999 earthquake in Taiwan, China, and the Wenchuan earthquake in China in 2008. The near-fault seismic motions of the above earthquakes show significant velocity pulse characteristics [7,8]. Near-fault velocity pulse-type seismic motion is more concentrated and more destructive in a shorter seismic motion period than a seismic motion without a velocity pulse [9]. Therefore, the engineering structure under near-fault velocity pulse type ground motion and ground motion without velocity pulse, especially the seismic response under the vibration of the COSCO field, will be very different.
In addition, due to the influence of the traditional seismic design, most of the existing researches on seismic isolation design are only on horizontal seismic motion, and little attention is paid to the influence of the vertical component of seismic motion on the structure [10]. However, a large number of seismic field survey results show that the vertical component of seismic motion is not negligible, and even exceeds the horizontal component in the vicinity of the epicenter. Therefore, for the study of seismic isolation design, the vertical component of seismic motion cannot be ignored. In addition, it has been confirmed by research that the tensile–compression stiffness ratio of the isolation bearing is different, but the result only considers the effect of the horizontal earthquake, and the different responses of the isolated structure under the vertical earthquake are not analyzed [11,12].
On the one hand, the paper studies the problem of the performance of the isolated structure for different seismic measures. On the other hand, the article uses the aspect ratio of the isolated structure as the main variation parameter and selects the lead laminated rubber bearing as the isolation device [13]. Using the finite element analysis software MIDAS-GEN, four traditional seismic frame structures and four corresponding base isolation structures are established. Six near-fault seismic motion records with typical velocity pulse characteristics are selected as the structural seismic motion input, to make structural nonlinear dynamic time-history analysis [14,15]. The seismic responses of traditional seismic structures and base isolation structures with different aspect ratios under near-fault velocity pulse-type ground motion are compared. The influence of velocity pulses on the isolation effect of isolation structures with different aspect ratio bases is analyzed. The appropriate aspect ratio of the base isolation structure in the fault zone is discussed.
On the other hand, based on the seismic motion input dimension as a variable, the different responses of the isolated structures under different dimensional seismic motion inputs are compared and analyzed [16,17,18]. Then, the tensile–compression stiffness ratios of the isolation units are used as variables to study different tensile–compression stiffnesses. The variation of the surface pressure of the isolated base and its variation law are studied to examine the influence of different dimensional seismic motion input methods on the isolation performance of the isolated structure.
2 Materials and methods
2.1 Influence of near-fault seismic motion velocity pulse input on the isolation performance of base isolation structures with different aspect ratios
In order to consider the influence of velocity pulses on the structural response of different generation mechanisms, six near-fault velocity pulse seismic motion records are selected as inputs, including three forward directional effect velocity pulse types of seismic motion records (A1, A2, A3) and three slipping effect speed pulse types of seismic motion records (B1, B2, B3). Table 1 shows the relevant parameters of the selected seismic motion record, wherein the strong earthquake holding time is the corresponding time of the peak acceleration with an amplitude greater than 10%.
Relative parameters of the near-fault velocity pulse seismic motion record
Generation mechanism | Directional effect | Slippery effect | ||||
---|---|---|---|---|---|---|
Seismic number | A1 | A2 | A3 | B1 | B2 | B3 |
Magnitude | 7.1 | 6.5 | 6.5 | 7.6 | 7.6 | 7.6 |
Station | Newhall-W. Pico Canyon | Rd E07 | UCSC station 16 | TCU75 | TCU76 | TCU129 |
Weight | 46 | sn | — | EW | EW | EW |
|
445.9 | 453.71 | 563.1 | 340.51 | 325.27 | 496.73 |
|
92.8 | 109.27 | 94.8 | 116.21 | 69.1 | 68.2 |
|
0.208 | 0.241 | 0.172 | 0.341 | 0.212 | 0.137 |
|
11 | 14 | 25 | 35 | 38 | 38 |
|
0.01 | 0.01 | 0.005 | 0.01 | 0.01 | 0.01 |
Taking the framework structure as the analysis object, the structural response calculation is carried out using the finite element analysis software MIDAS-GEN [19]. In order to facilitate the comparative analysis, all the models are arranged in the same plane, with a structural plane length of 36 m and a width of 14.4 m and a standard layer height of 2.9 m. X-Directional is 5 span, the span degree is 7.2 m, Y-directional is 3 span, the span degrees are 6.0, 2.4, and 6.0 m, respectively. When the width of all models is the same, by changing the height of the structure, a traditional seismic frame structure model with an aspect ratio H/B of 1, 2, 3, and 4 (5, 10, 15, and 20 floors, respectively) and the corresponding base isolation structure model are established. In order to better study the influence of the aspect ratio on the isolation system, the analysis models in this paper keep the overall height of the building unchanged, but change the width to get a structure with different aspect ratio. H represents the total height of the model and B represents the width of the model.
When establishing the model, by considering the following construction site environment: the basic wind pressure is 0.45 kN/m2, the basic snow pressure is 0.4 kN/m2, the ground roughness is Class C, the environmental category is Class II, and the fortification intensity is 7. The designed basic seismic acceleration is 0.10 g. The roof is a non-superman roof with a constant load of 2.5 kN/m2 and a live load of 0.5 kN/m2. The floor constant load is 2 kN/m2 and the live load is 2 kN/m2; the linear load of decoration tiles on beams is 5.5 kN/m2 and the linear load of parapet wall on top beams is 2.5 kN/m2. C30 is used in concrete, HRB400 is used in reinforcing bars, and HPB300 model is used in stirrup design, mainly according to the corresponding codes and regulations. The main component size of the structural model is shown in Table 2.
Main construction dimensions of structural models
Model number | H/B | Total number of layers | Column section | Beam section in x direction | Beam section in y direction | |||
---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|||
RC1 | 1 | 5 | 600 | 600 | 250 | 600 | 300 | 600 |
RC2 | 2 | 10 | 800 | 800 | 400 | 600 | 400 | 600 |
RC3 | 3 | 15 | 1,000 | 1,000 | 300 | 600 | 400 | 600 |
RC4 | 4 | 20 | 1,200 | 1,200 | 300 | 600 | 400 | 600 |
Based on the traditional seismic structure model, the base isolation structure model is provided with an isolation device under each column of the bottom layer. Lead-core rubber isolation bearings are used to reduce the natural frequency of the structure after the lead yielding and to avoid the structural resonance effect to achieve the isolation effect [20]. According to the provisions of GB 50011-2010, the horizontal displacement limit of the isolation bearing should be 0.55 times greater than its effective diameter and 3 times the total rubber thickness of the bearing. After calculation, for the isolation structure model with an aspect ratio of 1, 2, 3, and 4, the lead rubber bearing of GZY400, GZY600, GZY800, and GZY1000 models is selected as the isolation device in turn. The main parameters of the lead rubber bearing are shown in Table 3. Figure 1 shows a three-dimensional model of a base-isolated structure with an aspect ratio of 2. Analysis of Figure 1 shows the structure of the building structure with an aspect ratio of 2. The black dot O in the figure represents the isolation device under the columns on the ground and the bottom of the building, where X, Y, and Z represent the lateral, longitudinal, and vertical directions of the building structure, respectively. X is also the column of the building structure. The force rod adopts different lengths based on the structure of each layer. Based on the structure of Figure 1, the experimental research is carried out in combination with the parameters given in Table 3.
Parameters of lead rubber bearing
Category |
|
|
|
|
|
---|---|---|---|---|---|
GZY400 | 400 | 68.6 | 1,750 | 788 | 42.7 |
GZY600 | 600 | 110 | 2,900 | 1,106 | 96.08 |
GZY800 | 800 | 160 | 4,400 | 1,693 | 170.82 |
GZY1000 | 1,000 | 162 | 6,900 | 2,086 | 266.9 |
Note:

Three-dimensional model of the basic isolation structure with an aspect ratio of 2.
The peak accelerations of the six seismic motion records were adjusted to 220 cm/s2, which is a rare seismic motion with 7 degrees. For the dynamic elastoplastic analysis of the model structure, the Newmark method [21] in the direct integration method is used for calculation.
In the analysis model, the traditional seismic structures with an aspect ratio of 1–4 have first-order natural vibration periods of 0.51, 0.98, 1.56, and 2.21 s, respectively; the first-order natural vibration periods of the corresponding base-isolated structures are: 2.03, 2.99, 3.72, and 3.87 s, respectively.
2.2 Study on the influence of different dimensional seismic motion input methods on the isolation performance of seismic isolation bearings
By analyzing the tensile–compression stiffness ratio of different dimensional seismic motion inputs to the isolation bearing, the influence of different dimensional seismic motion inputs on the isolation performance of the isolated bearing is studied.
2.2.1 Project overview
Seismic analysis is carried out with a high-rise building structure as the research object. The total height of the building is 60 m, excluding the isolation layer, the lateral width is 33.6 m, the longitudinal length is 42 m, the aspect ratio is about 1.8, the total is 14 layers, the height of the first layer is 6 m, the second layer is 5.7 m, and the 3–14th layers is 5 m. The structural system of the building is frame-core tube and the structure damping ratio is 5%. The building classification is C-class, the structural design has a service life of 50 years, the site category is class II, the fortification intensity is 8 degrees, and the designed peak value of basic seismic acceleration is 0.3 g. The design of earthquake group is the first group and the site characteristic period is 0.35 s.
2.2.2 Simulation of isolation bearing
At present, the software that can be used for the time-history analysis of isolated structures is SAP2000, ETABS, MIDAS, etc. Although these softwares provide isolation units for seismic isolation analysis, basically it is vertically equal tensile–compression stiffness, and its restoring force model is shown in Figure 2(a). However, some literatures indicate that the model with consistent tensile and compressive stiffness is inconsistent with the actual mechanical behavior of the rubber isolation bearing, and the ratio of tensile stiffness to compressive stiffness is estimated to be between 1/4 and 1/12. Therefore, the direct use of the constitutive model provided in the software cannot reflect the true force of the isolation bearing.

Vertical restoring force model of isolation bearing (a) equal tension stiffness model, (b) unequal stiffness model.
After research, some scholars have proposed a parallel connection method using an isolator unit Isolator 1 and a gap unit Gap to simulate the different tensile and compressive stiffnesses of the isolated rubber bearing to ensure that the force is closer to the real situation. The Isolator 1 unit can provide both compression and tensile stiffness, while the Gap unit can provide only compression stiffness. The tensile–compression stiffness ratio of the isolated bearing defined in this paper is 1:7, and the restoring force model is shown in Figure 2(b). In Figure 2, the angle A is the compression strain angle and the angle B is the stretching angle. The unit Isolator 1 is subjected to a pressure of 1/7, the unit Gap is subjected to a pressure of 6/7, and the pulling force is fully absorbed by the unit Isolator 1, while the Gap unit does not provide tensile rigidity.
2.2.3 Seismic design
The high-rise building structure is isolated and designed by the analysis software ETABS, and the isolation is based on the base isolation. The isolation layer is arranged on the top of the basement and the floor height is 1.6 m. The top layer of the basement is used as the embedded end to adjust the arrangement of the isolation layer, and finally the isolation layer arrangement of the isolated structure is determined. A total of 45 isolated rubber bearings, including 18 lead rubber bearings and 27 laminated rubber bearings, are arranged. The mechanical performance parameters are shown in Table 4. The vertical stiffness values of the isolated bearing units under different stiffness ratios are shown in Table 5.
Mechanical properties of isolation bearings
Support model | Vertical stiffness/(kN/mm) | Equivalent damping ratio H eq 100/% | Equivalent horizontal stiffness K eq 100/(kN/mm) | Stiffness after yielding/(kN/mm) | Yield force/kN | Number |
---|---|---|---|---|---|---|
LRB1100 | 6,042 | 26.5 | 2,830 | 1,847 | 303 | 18 |
LNR1100 | 5,394 | <5 | 1,806 | — | — | 23 |
LNR1300 | 8,532 | <5 | 2,522 | — | — | 4 |
Vertical stiffness of isolated isolation units with different tension–compression stiffness ratios
Tension and pressure stiffness | LRB1100/(kN/mm) | LNR1100/(kN/mm) | LNR1300/(kN/mm) | |||
---|---|---|---|---|---|---|
Isolator l | Gap | Isolator l | Gap | Isolatorl | Gap | |
1/1 | 6,042 | — | 8,532 | — | 5,394 | — |
1/7 | 863 | 5,179 | 1,219 | 7,313 | 770 | 4,624 |
According to the reaction spectrum analysis, the compressive stress of the isolation bearing under gravity load (1.0 dead load + 0.5 live load) is extracted. When the tensile–compression stiffness ratio is 1:1, the maximum compressive stress of the isolation bearing is 12 MPa and the minimum value is 1.3 MPa; when the tensile–compression stiffness ratio is 1:7, the maximum compressive stress of the isolation bearing is 9 MPa and the minimum value is 0.4 MPa, which both meet the specification limit of 15 MPa; moreover, the center of gravity of the isolation layer and the center of gravity of the upper structure do not exceed 3% of the specifications.
2.2.4 Selection of seismic wave input
In order to investigate the influence of different seismic motion dimension input methods on the surface pressure of the high-rise isolated structure support, the one-, two-, and three-dimensional seismic motion modes are input to the structure, and a comparative analysis is carried out to study the influence of different dimensional seismic inputs on the performance of the isolated bearing structure.
3 Results
3.1 Analysis of dynamic responses of isolated structures with different aspect ratios by the velocity pulse input of near-fault seismic motion
Based on the structural model’s isolation layer displacement and base shearing force as the reaction parameters, the influence of velocity pulse on the seismic response of different aspect ratio structures and the corresponding base isolation structures is analyzed. The ratio of the difference between the structural response parameters before and after the isolation to the structural response before the isolation is defined as the damping rate
3.1.1 Analysis of displacement of seismic isolation bearing
Table 6 shows the displacement of the isolation bearing of the base isolation structure with different aspect ratios under the action of velocity pulse seismic motion.
Displacement of isolation bearings with different aspect ratio structures
Seismic number |
|
|||
---|---|---|---|---|
H/B = 1 | H/B = 2 | H/B = 3 | H/B = 4 | |
A1 | 0.2855 | 0.3262 | 0.2225 | 0.1261 |
A2 | 0.1982 | 0.3251 | 0.2602 | 0.1619 |
A3 | 0.212 | 0.2777 | 0.2028 | 0.1049 |
B1 | 0.3536 | 0.6141 | 0.5723 | 0.1988 |
B2 | 0.1401 | 0.3146 | 0.2743 | 0.1292 |
B3 | 0.0745 | 0.1292 | 0.1183 | 0.1021 |
It can be seen from Table 6 that with the increase of the aspect ratio of the superstructure, the displacement of the isolation bearing increases first and then decreases, and reaches the maximum when H/B = 2. Figure 3 shows the correlation curve between the displacement of the seismic isolation layer and the seismic motion parameter

Displacement of isolation bearings with different aspect ratio structures under different vibration input modes (a) H/B = 1. (b) H/B = 2. (c) H/B = 3. (d) H/B = 4.
Under the action of seismic motion B1, when H/B is 1, 2, and 3, the displacement of the isolation bearing exceeds the bearing displacement limit (0.33 m); especially when H/B = 2, the displacement of the isolation bearing has reached 0.61 m, which will cause serious damage to the isolation bearing.
3.1.2 Analysis of the base shearing force
In order to better reflect the influence of the seismic motion velocity pulse on the base isolation effect of different aspect ratio structures, the maximum base shearing force before and after the structural isolation is taken as the analysis parameter, and the maximum base shearing force before and after the structural isolation is calculated, as shown in Figure 4, and the damping rate of the base shearing force is calculated, as shown in Table 7.

Maximum base shear of non-isolated and isolated structures with different aspect ratios: (a) seismic motion A1, (b) seismic motion A2, (c) seismic motion A3, (d) seismic motion B1, (e) seismic motion B2, (f) seismic motion B3.
Maximum base shear rate of structures with different aspect ratios
Seismic number |
|
|||
---|---|---|---|---|
H/B = 1 | H/B = 2 | H/B = 3 | H/B = 4 | |
A1 | 0.7 | 0.703 | 0.541 | 0.352 |
A2 | 0.635 | 0.591 | 0.403 | 0.14 |
A3 | 0.794 | 0.648 | 0.544 | 0.441 |
B1 | 0.66 | 0.563 | 0.52 | 0.305 |
B2 | 0.675 | 0.52 | 0.285 | 0.323 |
B3 | 0.78 | 0.652 | 0.53 | 0.381 |
It can be seen from Figure 4 and Table 7 that the maximum base shearing force increases with the increase of the aspect ratio, and the isolation bearing has a certain isolation effect on the maximum base shearing force of the structure. However, as the aspect ratio of the superstructure increases, the damping rate gradually decreases. At the same time, it can be seen that the influence of seismic motion velocity pulse on the maximum base shearing force of the structure is similar to the effect on the displacement angle between layers.
3.2 Analysis of the influence of different dimensional vibration input methods on the isolation bearing under unequal tensile–compression stiffness ratio
The seismic motion analysis method of inputting different dimensionalities and the isolation structure with different stiffness ratios is conducted using the time-history analysis of rare earthquakes, and the variation and law of the surface pressure of each bearing are studied to obtain different dimensions, to obtain the influence of the seismic motion mode input on the performance of the isolated structure under different seismic conditions. When checking the tensile stress of the isolation bearing, the load combination value is calculated by equation (1). When the compressive stress of the isolation bearing is checked, the load combination is calculated by equation (2):
where
Taking the tensile–compression stiffness ratio of the isolation unit as the quantitative, and the tensile–compression stiffness ratio as 1:7, the difference in the surface pressure of the isolation bearing under different dimensional seismic motion inputs is compared and analyzed. The analysis results are shown in Figures 5–8. As shown, positive values in the figures indicate tensile stress and negative values indicate compressive stress.

X tensile stress of the isolation support.

Y-Direction tensile stress of the isolation support.

X-ray compressive stress of the isolation support.

Y-Direction compressive stress of the isolation support.
It can be seen from Figures 5–8 that the surface pressure of the isolation bearing changes under different dimensional seismic motion inputs. For the tensile stress of the isolation bearing, only the surface pressure of a small part of the isolation bearing has a large variation, and the surface pressure of most of the isolation bearing has only a small change.
4 Discussion
4.1 Discussion on the influence of near-fault seismic motion velocity pulse input on the performance of different aspect ratio isolation structures
4.1.1 Discussion on the displacement of the isolation bearing
Analysis of Table 6 shows that with the increase of the aspect ratio of the superstructure, the displacement of the isolation bearing increases first and then decreases. When H/B = 2, the maximum value is obtained. Through the correlation curve between the displacement of the isolation layer and the seismic motion parameter
In summary, under the action of the near-fault velocity pulse type of seismic motion, with the increase of the aspect ratio H/B (taking 1–4), the maximum shearing force of the structural base increases gradually, but the displacement of the isolation bearing has a tendency of increasing first and then decreasing, and as the
4.1.2 Discussion on the base shearing force
Analysis of Figure 4 and Table 7 shows that the maximum base shearing force increases with the increase of the aspect ratio, and the isolation bearing has a certain isolation effect on the maximum base shearing force of the structure. However, with the increase of the aspect ratio of the superstructure, the damping rate is gradually reduced, that is, the structural isolation performance of H/B = 1 is the best, and the isolation performance of H/B = 4 structure is the worst. In addition, the influence of the seismic motion velocity pulse on the maximum base shearing force of the structure is similar to the effect on the interlayer displacement angle.
Therefore, for a structure with an aspect ratio H/B of 1, 2, and 3, the base isolation has a good damping effect, and the smaller the aspect ratio is, the better the damping effect is. When the structure H/B = 4, the effect of the base isolation is poor, and the isolation structure may be destroyed due to the excessive displacement of the lower structure or the isolation bearing.
4.2 Discussion on the influence of different dimensional seismic motion input methods on the isolation performance of seismic isolation bearings
It can be seen from the analysis of Figures 5–8 that the surface pressure of the seismic isolation mount changes under different dimensional seismic motion inputs. For the tensile stress of the isolation bearing, only the surface pressure of a small part of the isolation bearing has a large variation, and the surface pressure of most of the isolation bearing has only a small change. From the numerical value, the one-dimensional seismic motion input is the smallest, the two-dimensional seismic motion input is next, and the maximum is three-dimensional seismic motion input, with the maximum value of 12.1 MPa. For the compressive stress of the isolation bearing, the variation of the surface pressure of most isolated bearings is still relatively large. From the numerical value, the one-dimensional seismic motion input is the smallest, the two-dimensional seismic motion input is next, and the maximum is three-dimensional seismic motion input, with the maximum value of 40.4 MPa. This shows that when the tensile–compression stiffness ratio of the isolation unit is 1:7, the seismic motion input of different dimensions still affects the surface pressure of the isolation bearing, but the impact is slightly reduced.
Under the same dimensional seismic motion input, the tensile–compression stiffness ratio has a greater influence on the tensile stress of the isolation bearing, but has little effect on the compressive stress. This shows that the tensile–compression stiffness ratio also affects the surface pressure of the isolation bearing.
5 Conclusions
In this paper, different vibration input methods are used to test the impact of seismic isolation performance on different seismic measures, and the following conclusions are drawn:
By studying the influence of the pulse input of the near-fault seismic motion velocity on the isolation performance of the base-isolated structures with different aspect ratios, it can be seen that for the structure with the aspect ratio H/B of 1, 2, and 3, the base isolation has a better damping effect. And the smaller the aspect ratio is, the better the damping effect is. When the structure H/B = 4, the effect of the base isolation is poor, and even the displacement of the lower layer or the isolation bearing is too large, the isolated structure is damaged.
Through the study of the influence of different dimensional seismic motion input methods on the isolation performance of the isolation bearing, it can be known that when the tensile–compression stiffness ratio of the isolation unit is 1:7, the seismic motion input of different dimensions will still affect the surface pressure of the isolation bearings, but the influence is slightly reduced. Therefore, the vibration input of different dimensions has an influence on the isolation performance of the isolation bearing, but the influence is small. From small to large, they are: one-dimensional vibration input, two-dimensional vibration input, and three-dimensional vibration input.
Based on the above conclusions, it is suggested that in the near-fault zone for a strong earthquake, the frame structure with the aspect ratio H/B greater than 3 should avoid the use of a basic isolation design or adopt a design scheme that fully considers the adverse effects of the seismic motion velocity pulse. At the same time, in the design of the base isolation structure of the near-fault zone for a strong earthquake, appropriate measures should be taken to limit the displacement of the bottom layer of the structure or to strengthen the design of the isolation bearing.
Acknowledgments
This research was supported by the Science and Technology Project of Guangzhou (No. 201707010333) and National Natural Science Foundation Youth Fund of China (No. 51808467).
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- Enhanced Entanglement in Hybrid Cavity Mediated by a Two-way Coupled Quantum Dot
- The nonlinear integro-differential Ito dynamical equation via three modified mathematical methods and its analytical solutions
- Diagnostic model of low visibility events based on C4.5 algorithm
- Electronic temperature characteristics of laser-induced Fe plasma in fruits
- Comparative study of heat transfer enhancement on liquid-vapor separation plate condenser
- Characterization of the effects of a plasma injector driven by AC dielectric barrier discharge on ethylene-air diffusion flame structure
- Impact of double-diffusive convection and motile gyrotactic microorganisms on magnetohydrodynamics bioconvection tangent hyperbolic nanofluid
- Dependence of the crossover zone on the regularization method in the two-flavor Nambu–Jona-Lasinio model
- Novel numerical analysis for nonlinear advection–reaction–diffusion systems
- Heuristic decision of planned shop visit products based on similar reasoning method: From the perspective of organizational quality-specific immune
- Two-dimensional flow field distribution characteristics of flocking drainage pipes in tunnel
- Dynamic triaxial constitutive model for rock subjected to initial stress
- Automatic target recognition method for multitemporal remote sensing image
- Gaussons: optical solitons with log-law nonlinearity by Laplace–Adomian decomposition method
- Adaptive magnetic suspension anti-rolling device based on frequency modulation
- Dynamic response characteristics of 93W alloy with a spherical structure
- The heuristic model of energy propagation in free space, based on the detection of a current induced in a conductor inside a continuously covered conducting enclosure by an external radio frequency source
- Microchannel filter for air purification
- An explicit representation for the axisymmetric solutions of the free Maxwell equations
- Floquet analysis of linear dynamic RLC circuits
- Subpixel matching method for remote sensing image of ground features based on geographic information
- K-band luminosity–density relation at fixed parameters or for different galaxy families
- Effect of forward expansion angle on film cooling characteristics of shaped holes
- Analysis of the overvoltage cooperative control strategy for the small hydropower distribution network
- Stable walking of biped robot based on center of mass trajectory control
- Modeling and simulation of dynamic recrystallization behavior for Q890 steel plate based on plane strain compression tests
- Edge effect of multi-degree-of-freedom oscillatory actuator driven by vector control
- The effect of guide vane type on performance of multistage energy recovery hydraulic turbine (MERHT)
- Development of a generic framework for lumped parameter modeling
- Optimal control for generating excited state expansion in ring potential
- The phase inversion mechanism of the pH-sensitive reversible invert emulsion from w/o to o/w
- 3D bending simulation and mechanical properties of the OLED bending area
- Resonance overvoltage control algorithms in long cable frequency conversion drive based on discrete mathematics
- The measure of irregularities of nanosheets
- The predicted load balancing algorithm based on the dynamic exponential smoothing
- Influence of different seismic motion input modes on the performance of isolated structures with different seismic measures
- A comparative study of cohesive zone models for predicting delamination fracture behaviors of arterial wall
- Analysis on dynamic feature of cross arm light weighting for photovoltaic panel cleaning device in power station based on power correlation
- Some probability effects in the classical context
- Thermosoluted Marangoni convective flow towards a permeable Riga surface
- Simultaneous measurement of ionizing radiation and heart rate using a smartphone camera
- On the relations between some well-known methods and the projective Riccati equations
- Application of energy dissipation and damping structure in the reinforcement of shear wall in concrete engineering
- On-line detection algorithm of ore grade change in grinding grading system
- Testing algorithm for heat transfer performance of nanofluid-filled heat pipe based on neural network
- New optical solitons of conformable resonant nonlinear Schrödinger’s equation
- Numerical investigations of a new singular second-order nonlinear coupled functional Lane–Emden model
- Circularly symmetric algorithm for UWB RF signal receiving channel based on noise cancellation
- CH4 dissociation on the Pd/Cu(111) surface alloy: A DFT study
- On some novel exact solutions to the time fractional (2 + 1) dimensional Konopelchenko–Dubrovsky system arising in physical science
- An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation
- Mining reasonable distance of horizontal concave slope based on variable scale chaotic algorithms
- Mathematical models for information classification and recognition of multi-target optical remote sensing images
- Hopkinson rod test results and constitutive description of TRIP780 steel resistance spot welding material
- Computational exploration for radiative flow of Sutterby nanofluid with variable temperature-dependent thermal conductivity and diffusion coefficient
- Analytical solution of one-dimensional Pennes’ bioheat equation
- MHD squeezed Darcy–Forchheimer nanofluid flow between two h–distance apart horizontal plates
- Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
- A clustering algorithm based on nonuniform partition for WSNs
- An extension of Gronwall inequality in the theory of bodies with voids
- Rheological properties of oil–water Pickering emulsion stabilized by Fe3O4 solid nanoparticles
- Review Article
- Sine Topp-Leone-G family of distributions: Theory and applications
- Review of research, development and application of photovoltaic/thermal water systems
- Special Issue on Fundamental Physics of Thermal Transports and Energy Conversions
- Numerical analysis of sulfur dioxide absorption in water droplets
- Special Issue on Transport phenomena and thermal analysis in micro/nano-scale structure surfaces - Part I
- Random pore structure and REV scale flow analysis of engine particulate filter based on LBM
- Prediction of capillary suction in porous media based on micro-CT technology and B–C model
- Energy equilibrium analysis in the effervescent atomization
- Experimental investigation on steam/nitrogen condensation characteristics inside horizontal enhanced condensation channels
- Experimental analysis and ANN prediction on performances of finned oval-tube heat exchanger under different air inlet angles with limited experimental data
- Investigation on thermal-hydraulic performance prediction of a new parallel-flow shell and tube heat exchanger with different surrogate models
- Comparative study of the thermal performance of four different parallel flow shell and tube heat exchangers with different performance indicators
- Optimization of SCR inflow uniformity based on CFD simulation
- Kinetics and thermodynamics of SO2 adsorption on metal-loaded multiwalled carbon nanotubes
- Effect of the inner-surface baffles on the tangential acoustic mode in the cylindrical combustor
- Special Issue on Future challenges of advanced computational modeling on nonlinear physical phenomena - Part I
- Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications
- Some new extensions for fractional integral operator having exponential in the kernel and their applications in physical systems
- Exact optical solitons of the perturbed nonlinear Schrödinger–Hirota equation with Kerr law nonlinearity in nonlinear fiber optics
- Analytical mathematical schemes: Circular rod grounded via transverse Poisson’s effect and extensive wave propagation on the surface of water
- Closed-form wave structures of the space-time fractional Hirota–Satsuma coupled KdV equation with nonlinear physical phenomena
- Some misinterpretations and lack of understanding in differential operators with no singular kernels
- Stable solutions to the nonlinear RLC transmission line equation and the Sinh–Poisson equation arising in mathematical physics
- Calculation of focal values for first-order non-autonomous equation with algebraic and trigonometric coefficients
- Influence of interfacial electrokinetic on MHD radiative nanofluid flow in a permeable microchannel with Brownian motion and thermophoresis effects
- Standard routine techniques of modeling of tick-borne encephalitis
- Fractional residual power series method for the analytical and approximate studies of fractional physical phenomena
- Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation
- Approximate analytical fractional view of convection–diffusion equations
- Heat and mass transport investigation in radiative and chemically reacting fluid over a differentially heated surface and internal heating
- On solitary wave solutions of a peptide group system with higher order saturable nonlinearity
- Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations
- Unsteady nano-bioconvective channel flow with effect of nth order chemical reaction
- On the flow of MHD generalized maxwell fluid via porous rectangular duct
- Study on the applications of two analytical methods for the construction of traveling wave solutions of the modified equal width equation
- Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method
- A powerful numerical technique for treating twelfth-order boundary value problems
- Fundamental solutions for the long–short-wave interaction system
- Role of fractal-fractional operators in modeling of rubella epidemic with optimized orders
- Exact solutions of the Laplace fractional boundary value problems via natural decomposition method
- Special Issue on 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering
- Joint use of eddy current imaging and fuzzy similarities to assess the integrity of steel plates
- Uncertainty quantification in the design of wireless power transfer systems
- Influence of unequal stator tooth width on the performance of outer-rotor permanent magnet machines
- New elements within finite element modeling of magnetostriction phenomenon in BLDC motor
- Evaluation of localized heat transfer coefficient for induction heating apparatus by thermal fluid analysis based on the HSMAC method
- Experimental set up for magnetomechanical measurements with a closed flux path sample
- Influence of the earth connections of the PWM drive on the voltage constraints endured by the motor insulation
- High temperature machine: Characterization of materials for the electrical insulation
- Architecture choices for high-temperature synchronous machines
- Analytical study of air-gap surface force – application to electrical machines
- High-power density induction machines with increased windings temperature
- Influence of modern magnetic and insulation materials on dimensions and losses of large induction machines
- New emotional model environment for navigation in a virtual reality
- Performance comparison of axial-flux switched reluctance machines with non-oriented and grain-oriented electrical steel rotors
- Erratum
- Erratum to “Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications”
Articles in the same Issue
- Regular Articles
- Model of electric charge distribution in the trap of a close-contact TENG system
- Dynamics of Online Collective Attention as Hawkes Self-exciting Process
- Enhanced Entanglement in Hybrid Cavity Mediated by a Two-way Coupled Quantum Dot
- The nonlinear integro-differential Ito dynamical equation via three modified mathematical methods and its analytical solutions
- Diagnostic model of low visibility events based on C4.5 algorithm
- Electronic temperature characteristics of laser-induced Fe plasma in fruits
- Comparative study of heat transfer enhancement on liquid-vapor separation plate condenser
- Characterization of the effects of a plasma injector driven by AC dielectric barrier discharge on ethylene-air diffusion flame structure
- Impact of double-diffusive convection and motile gyrotactic microorganisms on magnetohydrodynamics bioconvection tangent hyperbolic nanofluid
- Dependence of the crossover zone on the regularization method in the two-flavor Nambu–Jona-Lasinio model
- Novel numerical analysis for nonlinear advection–reaction–diffusion systems
- Heuristic decision of planned shop visit products based on similar reasoning method: From the perspective of organizational quality-specific immune
- Two-dimensional flow field distribution characteristics of flocking drainage pipes in tunnel
- Dynamic triaxial constitutive model for rock subjected to initial stress
- Automatic target recognition method for multitemporal remote sensing image
- Gaussons: optical solitons with log-law nonlinearity by Laplace–Adomian decomposition method
- Adaptive magnetic suspension anti-rolling device based on frequency modulation
- Dynamic response characteristics of 93W alloy with a spherical structure
- The heuristic model of energy propagation in free space, based on the detection of a current induced in a conductor inside a continuously covered conducting enclosure by an external radio frequency source
- Microchannel filter for air purification
- An explicit representation for the axisymmetric solutions of the free Maxwell equations
- Floquet analysis of linear dynamic RLC circuits
- Subpixel matching method for remote sensing image of ground features based on geographic information
- K-band luminosity–density relation at fixed parameters or for different galaxy families
- Effect of forward expansion angle on film cooling characteristics of shaped holes
- Analysis of the overvoltage cooperative control strategy for the small hydropower distribution network
- Stable walking of biped robot based on center of mass trajectory control
- Modeling and simulation of dynamic recrystallization behavior for Q890 steel plate based on plane strain compression tests
- Edge effect of multi-degree-of-freedom oscillatory actuator driven by vector control
- The effect of guide vane type on performance of multistage energy recovery hydraulic turbine (MERHT)
- Development of a generic framework for lumped parameter modeling
- Optimal control for generating excited state expansion in ring potential
- The phase inversion mechanism of the pH-sensitive reversible invert emulsion from w/o to o/w
- 3D bending simulation and mechanical properties of the OLED bending area
- Resonance overvoltage control algorithms in long cable frequency conversion drive based on discrete mathematics
- The measure of irregularities of nanosheets
- The predicted load balancing algorithm based on the dynamic exponential smoothing
- Influence of different seismic motion input modes on the performance of isolated structures with different seismic measures
- A comparative study of cohesive zone models for predicting delamination fracture behaviors of arterial wall
- Analysis on dynamic feature of cross arm light weighting for photovoltaic panel cleaning device in power station based on power correlation
- Some probability effects in the classical context
- Thermosoluted Marangoni convective flow towards a permeable Riga surface
- Simultaneous measurement of ionizing radiation and heart rate using a smartphone camera
- On the relations between some well-known methods and the projective Riccati equations
- Application of energy dissipation and damping structure in the reinforcement of shear wall in concrete engineering
- On-line detection algorithm of ore grade change in grinding grading system
- Testing algorithm for heat transfer performance of nanofluid-filled heat pipe based on neural network
- New optical solitons of conformable resonant nonlinear Schrödinger’s equation
- Numerical investigations of a new singular second-order nonlinear coupled functional Lane–Emden model
- Circularly symmetric algorithm for UWB RF signal receiving channel based on noise cancellation
- CH4 dissociation on the Pd/Cu(111) surface alloy: A DFT study
- On some novel exact solutions to the time fractional (2 + 1) dimensional Konopelchenko–Dubrovsky system arising in physical science
- An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation
- Mining reasonable distance of horizontal concave slope based on variable scale chaotic algorithms
- Mathematical models for information classification and recognition of multi-target optical remote sensing images
- Hopkinson rod test results and constitutive description of TRIP780 steel resistance spot welding material
- Computational exploration for radiative flow of Sutterby nanofluid with variable temperature-dependent thermal conductivity and diffusion coefficient
- Analytical solution of one-dimensional Pennes’ bioheat equation
- MHD squeezed Darcy–Forchheimer nanofluid flow between two h–distance apart horizontal plates
- Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
- A clustering algorithm based on nonuniform partition for WSNs
- An extension of Gronwall inequality in the theory of bodies with voids
- Rheological properties of oil–water Pickering emulsion stabilized by Fe3O4 solid nanoparticles
- Review Article
- Sine Topp-Leone-G family of distributions: Theory and applications
- Review of research, development and application of photovoltaic/thermal water systems
- Special Issue on Fundamental Physics of Thermal Transports and Energy Conversions
- Numerical analysis of sulfur dioxide absorption in water droplets
- Special Issue on Transport phenomena and thermal analysis in micro/nano-scale structure surfaces - Part I
- Random pore structure and REV scale flow analysis of engine particulate filter based on LBM
- Prediction of capillary suction in porous media based on micro-CT technology and B–C model
- Energy equilibrium analysis in the effervescent atomization
- Experimental investigation on steam/nitrogen condensation characteristics inside horizontal enhanced condensation channels
- Experimental analysis and ANN prediction on performances of finned oval-tube heat exchanger under different air inlet angles with limited experimental data
- Investigation on thermal-hydraulic performance prediction of a new parallel-flow shell and tube heat exchanger with different surrogate models
- Comparative study of the thermal performance of four different parallel flow shell and tube heat exchangers with different performance indicators
- Optimization of SCR inflow uniformity based on CFD simulation
- Kinetics and thermodynamics of SO2 adsorption on metal-loaded multiwalled carbon nanotubes
- Effect of the inner-surface baffles on the tangential acoustic mode in the cylindrical combustor
- Special Issue on Future challenges of advanced computational modeling on nonlinear physical phenomena - Part I
- Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications
- Some new extensions for fractional integral operator having exponential in the kernel and their applications in physical systems
- Exact optical solitons of the perturbed nonlinear Schrödinger–Hirota equation with Kerr law nonlinearity in nonlinear fiber optics
- Analytical mathematical schemes: Circular rod grounded via transverse Poisson’s effect and extensive wave propagation on the surface of water
- Closed-form wave structures of the space-time fractional Hirota–Satsuma coupled KdV equation with nonlinear physical phenomena
- Some misinterpretations and lack of understanding in differential operators with no singular kernels
- Stable solutions to the nonlinear RLC transmission line equation and the Sinh–Poisson equation arising in mathematical physics
- Calculation of focal values for first-order non-autonomous equation with algebraic and trigonometric coefficients
- Influence of interfacial electrokinetic on MHD radiative nanofluid flow in a permeable microchannel with Brownian motion and thermophoresis effects
- Standard routine techniques of modeling of tick-borne encephalitis
- Fractional residual power series method for the analytical and approximate studies of fractional physical phenomena
- Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation
- Approximate analytical fractional view of convection–diffusion equations
- Heat and mass transport investigation in radiative and chemically reacting fluid over a differentially heated surface and internal heating
- On solitary wave solutions of a peptide group system with higher order saturable nonlinearity
- Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations
- Unsteady nano-bioconvective channel flow with effect of nth order chemical reaction
- On the flow of MHD generalized maxwell fluid via porous rectangular duct
- Study on the applications of two analytical methods for the construction of traveling wave solutions of the modified equal width equation
- Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method
- A powerful numerical technique for treating twelfth-order boundary value problems
- Fundamental solutions for the long–short-wave interaction system
- Role of fractal-fractional operators in modeling of rubella epidemic with optimized orders
- Exact solutions of the Laplace fractional boundary value problems via natural decomposition method
- Special Issue on 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering
- Joint use of eddy current imaging and fuzzy similarities to assess the integrity of steel plates
- Uncertainty quantification in the design of wireless power transfer systems
- Influence of unequal stator tooth width on the performance of outer-rotor permanent magnet machines
- New elements within finite element modeling of magnetostriction phenomenon in BLDC motor
- Evaluation of localized heat transfer coefficient for induction heating apparatus by thermal fluid analysis based on the HSMAC method
- Experimental set up for magnetomechanical measurements with a closed flux path sample
- Influence of the earth connections of the PWM drive on the voltage constraints endured by the motor insulation
- High temperature machine: Characterization of materials for the electrical insulation
- Architecture choices for high-temperature synchronous machines
- Analytical study of air-gap surface force – application to electrical machines
- High-power density induction machines with increased windings temperature
- Influence of modern magnetic and insulation materials on dimensions and losses of large induction machines
- New emotional model environment for navigation in a virtual reality
- Performance comparison of axial-flux switched reluctance machines with non-oriented and grain-oriented electrical steel rotors
- Erratum
- Erratum to “Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications”