Startseite Design of clamping structure for material flow monitor of pipe conveyors
Artikel Open Access

Design of clamping structure for material flow monitor of pipe conveyors

  • Vieroslav Molnár EMAIL logo und Katarína Lipovcová
Veröffentlicht/Copyright: 10. Dezember 2019
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

In terms of monitoring the material and volume flow of pipe conveyors, the conveyor is considered to be a volumetric machine that does not have a "self-defence" function - in most cases, material needs to be dosed and monitored in the critical parts of the conveyor for smooth transportation and quick detection of deficiencies and errors. Appropriate attachment of the material flow sensor to the pipe conveyor structure plays an important role for efficient material monitoring on the pipe conveyor belt. The paper specifies and subsequently analyzes selected methods of mounting an optical material flow monitor - the Bulkscan LMS511, based on the ratio index method by analyzing the advantages and disadvantages of individual variants. The optimal variant is modelled in the PTC Creo Parametric program and the estimated costs for its implementation are evaluated.

1 Introduction

The key factor of proper monitoring is the correct installation and ideal attachment of the monitoring device to the pipe conveyor construction. This is done by different handles respectively, mounting kits that provide optimal, uninterrupted and efficient monitoring. The main role is played by the design of the conveyor itself, the granularity of the material, but also the external influences.

The issue of security devices aimed at the detection of conveyed material on the conveyor belt is very complex. It is dealt with in two basic ways: - mechanically and optically.

There are several principles of solving the design of security devices with optical way of measuring material presence. One of them is the use of a laser beam in determining the volume, which has several practical advantages (the measurement is non-contact, the process can be optimized according to the volume, the sensor measures the actual volume on the conveyor [1, 2]). Zeng et al. [3] presented the design and verification of a mathematical model intended to measure the flow of bulk material on a belt conveyor using laser scanning technology. Transition phase speed controlled belt conveyor simulations based on an existing FEM model were discussed by He et al. [4]. Wang et al. [5] examined the lateral force of the pipe conveyor belt’s vertical transport section through the selection of material diameter. Aldrich et al. [6] were engaged in research into online analysis of coal on a conveyor belt by using machine vision.

This paper specifies and subsequently analyzes the selected type of optical security device based on the ratio index method by analyzing the advantages and disadvantages of individual variants.

2 Methods

Pipe conveyors must have a number of safety devices installed for safe operation [7] and for protecting the conveyor belt against damage. The following can be included as security elements for the protection of the conveyor belt against damage:

  • overload panels (fitted with belt scales that can be installed in a closed belt section of a pipe conveyor and are specifically designed to be used in a pipe conveyor),

  • material flow monitors with vertical opening (Figure 1), with horizontal opening (Figure 2) (most often consisting of one or two doors that open when the conveyor belt is congested, while the attached position sensor detects this change and sends a signal for stopping the pipe conveyor)

  • electromagnetic devices to remove metal particles from the conveyor belt (Figure 3),

  • speed sensors on the feed end drum of the pipe conveyor,

  • sensors of correct direction resp. belt breakage,

  • emergency conveyor shut-off cable (stretched along the footbridge along the conveyor side),

  • clogging (blockage) dump chute sensors (Figure 4).

Figure 1 Material flow monitor with vertical opening [8]
Figure 1

Material flow monitor with vertical opening [8]

Figure 2 Material flow monitor with horizontal opening [8]
Figure 2

Material flow monitor with horizontal opening [8]

Figure 3 Electromagnetic device for removing metallic particles [8]
Figure 3

Electromagnetic device for removing metallic particles [8]

Figure 4 Optical flow crusher monitor and conveyor belt tracking [9]
Figure 4

Optical flow crusher monitor and conveyor belt tracking [9]

The optical flow monitor of the clogging (blocking) of the dump chute is shown in Figure 4, where the raw material is transported by means of a conveyor belt from a landfill to a shredder or a transfer point. Mineral volume is measured optically at the inlet to the crusher. This optimizes the capacity and reduces the filling time. The optical sensor ensures contactless recording of volume flow on conveyor belts by means of laser beam flight time measurement technology. The optical monitor is characterized by its robustness, reliability and wear resistance. Thanks to the integrated centre of gravity calculation system it enables to maximize the transport performance and detect unilateral or uneven load on the conveyor belt.

Benefits include lower belt wear and lower maintenance costs [9]. Optical flow monitors can be used not only on conveyor belts, but also on other devices that require inspection, recording, measurement and monitoring. They are e.g., railway wagons, ships, cars, crushers, bucket conveyors, cranes, electric arc furnaces and others.

2.1 The Bulkscan LMS511 flow monitor

The Bulkscan LMS511 optical flow monitor is considered for the pipe conveyor, which enables non-contact and maintenance-free volumetric flow recording [1]. It uses multiple reflection technology for recording, which from the length of time that takes the laser beam to hit the surface and the belt speed determines the volumetric flow of material. This technology is independent of the bulk material properties and weather conditions. Figure 5 shows the Bulkscan LMS511.

Figure 5 The Bulkscan LMS511 flow monitor [10]
Figure 5

The Bulkscan LMS511 flow monitor [10]

2.1.1 The advantages of the BulkScan LMS511

  • maximizing transport performance,

  • maximizing the throughput of the conveyor,

  • saving maintenance costs by preventing buckling of the conveyor belt,

  • increasing the efficiency of transport of the belt by optimizing the load (integrated determination of the centre of gravity of the material on the belt).

  • easy installation,

  • minimum maintenance costs,

  • increasing conveyor belt life,

  • cost savings by minimizing energy consumption,

  • wide range of operating temperatures,

  • robust body made of special alloys,

  • connecting to superior communication systems via Ethernet TCP / IP [10].

2.1.2 Areas of application of BulkScan LMS511

Other Bulkscan LMS511 application deployments include:

  • monitoring of raw materials in the food production industry,

  • monitoring of transport equipment for coal or ore transport,

  • loading and bagging equipment,

  • recording ash discharges in power plants,

  • control of loading of means of transport e.g. cars, ships, railway wagons,

  • measuring the volume of bulk materials in gravel pits and other operation facilities of the building materials industry,

  • measurement of clinker weights in cement plants,

  • volume monitoring of pneumatic components [10].

3 Results

3.1 Alternative designs for mounting the Bulkscan LMS51 material flow monitor

Five alternative methods of attachment with a technical outline have been proposed:

  1. rigid frame,

  2. sliding beam

  3. rigid frame with sliding bracket in 1 axis,

  4. rigid frame with sliding crossbeam and sliding bracket in 1 axis,

  5. ½ rigid frame with sliding crossbar in 1 axis and fixed bracket.

  1. Rigid frame - this way of mounting the sensor consists of a rigid construction frame on which the sensor holder is fixed (Figure 6). The holder does not allow any adjusting movement of the sensor.

    Advantages:

    1. simple production,

    2. easy assembly / disassembly

    3. easy maintenance,

    4. solid construction,

    5. there is no loosening of the frame parts.

    Disadvantages:

    1. the frame is not flexible,

    2. without possibility of moving the holder with the sensor.

  2. Sliding crossbar - its specific feature is that the crossbar is located in the centre of the rigid frame, which, thanks to its openings on both sides, is able to move in 1 axis (Figure 7). A sensor holder that allows to scan material from different angles but also different widths of conveyor belts is fixed on the sliding element.

    Advantages:

    1. can be used for different conveyor belt widths

    2. scanning material from different angles.

    Disadvantages:

    1. the moving part must be anchored when the scanning angle is changed,

    2. limited movement of the holder,

    3. manual handling.

  3. Rigid frame with sliding bracket in 1 axis - a sensor holder is mounted on the rigid frame of the conveyor, which can move around its periphery in 1 axis and be anchored in the desired place (Figure 8). The mobility interface is larger than in the previous example in Figure 7, since it can also be attached to the extreme part of the conveyor structure frame.

    Advantages:

    1. can be used for different conveyor belt widths,

    2. multi-angle scanning of material,

    3. sliding of the holder along the entire length of the frame,

    4. easy assembly and disassembly,

    5. easy maintenance and replacement of parts.

    Disadvantages:

    1. risk of loosening of the holder,

    2. manual handling.

  4. Rigid frame with 1-axis sliding beam and sliding bracket - the structure consists of a rigid frame, a sliding bracket laterally attached to the frame and a sensor bracket moving along the sliding beam (Figure 9). This whole design allows the sensor to scan in the desired height and angle. The disadvantage is the lower stability of the whole structure, since there is a risk of loosening of individual parts.

    Advantages:

    1. possible adjustment of height and angle of sensing,

    2. easy handling,

    3. easy assembly and disassembly,

    4. use for different conveyor belt widths,

    5. sliding the holder along the entire length of the frame.

    Disadvantages:

    1. more difficult maintenance and replacement of parts,

    2. risk of loosening of the frame in case of stronger vibrations

    3. manual handling.

  5. ½ rigid frame with sliding crossbar in 1 axis and fixed bracket - this mounting design shows a rigid frame on which the angled bracket is fixed (Figure 10). Thanks to this, it is possible to move the crossbar in horizontal and vertical direction according to the material scanning needs on the conveyor belt. It is flexible, but there is a risk of loosening of the frame parts. The holder is firmly attached to the crossbeam.

    Advantages:

    1. the possibility to adjust the height and angle of scanning,

    2. use for different conveyor belt widths.

    Disadvantages:

    1. assembly and disassembly,

    2. maintenance and replacement of parts,

    3. risk of loosening of frame parts,

    4. limited movement of the holder,

    5. manual handling.

Figure 6 Rigid frame
Figure 6

Rigid frame

Figure 7 Sliding crossbar
Figure 7

Sliding crossbar

Figure 8 Rigid frame with sliding holder in 1 axis
Figure 8

Rigid frame with sliding holder in 1 axis

Figure 9 Rigid frame with sliding crossbar in 1 axis and a sliding bracket
Figure 9

Rigid frame with sliding crossbar in 1 axis and a sliding bracket

Figure 10 1/2 Rigid frame with 1-axis sliding crossbar and fixed bracket
Figure 10

1/2 Rigid frame with 1-axis sliding crossbar and fixed bracket

3.2 Choosing the optimal mounting option for the Bulkscan LMS51 material flow monitor

When selecting the optimal Bulkscan LMS511 material flow monitor mounting option, it is important to choose the right comparison method. Using the ratio index method, it is ascertained which proposed method of fixing is ideal taking into account the advantages and disadvantages of the variants. The ratio index method uses a direct classification of weights into groups that determine the individual weights of the selected criteria. The following criteria were chosen:

  1. simple assembly / disassembly,

  2. sensing adjustability;

  3. stability of the structure,

  4. easy handling.

The ’x’ mark in Table 1 indicates that the proposal meets the criterion. Using the direct method of classifying weights into groups the individual weights of the criteria from Table 1 were determined. The assignment of weights to the criteria was as follows:

Table 1

Evaluation criteria of individual variants

CriteriaMounting suggestions for Bulkscan LMS511
Fixed frameSliding crossbarRigid frame with sliding holder in 1 axisRigid frame with sliding crossbar and sliding bracket in 1 axis1/2 rigid frame with sliding crossbar in 1 axis and fixed bracket
simple assembly / disassemblyxxxx
sensing adjustabilityxx
stability of the structurexxxxx
easy handlingxxx
  • a group of very important criteria ≥ 6

  • a group of moderately important criteria ≥ 4

  • a group of less important criteria ≥ 2

Independent experts then assigned weightings to the criteria in terms of importance. The normalized value aj was calculated from the assigned non-standard value wj divided by its total sum (Table 2). In Table 3, the calculated standardized values aj are multiplied by the partial utility determined by the direct approach by formula:

Table 2

Standardized criteria values

CriteriaNon-standard value wjStandardized value aj
simple assembly / disassembly22/14=0.14
sensing adjustability66/14=0.43
stability of the structure44/14=0.29
easy handling22/14=0.14
TOGETHER141
Table 3

Calculation the overall utility of variant order by index method

CriteriaajMounting suggestions for Bulkscan LMS511
Fixed frameSliding crossbarRigid frame with sliding holder in 1 axisRigid frame with sliding crossbar and sliding bracket in 1 axis1/2 rigid frame with sliding crossbar in 1 axis and fixed bracket
simple assembly / disassembly0.143 0.423 0.423 0.421 0.141 0.14
sensing adjustability0.431 0.431 0.433 1.293 1.293 1.29
stability of the structure0.293 0.873 0.873 0.873 0.871 0.29
easy handling0.143 0.423 0.423 0.421 0.141 0.14
TOGETHER12.142.1432.441.86
ORDER3.1.2.4.
(1)overallutility=ajpartialutility,

1- does not meet the criterion, 3 - meets the criterion.

As can be seen from Table 3, the highest rated according to the ratio index method is the rigid frame with a sliding bracket in 1 axis.

4 Discussion

The optimal variant - rigid frame with sliding holder in 1 axis connects to the construction of the pipe conveyor above the conveyor belt (Figure 11). Installation of this variant is expected at VSH Turňa nad Bodvou, where the installation of new pipe conveyors is being prepared. Due to the selection of a particular conveyor, the construction dimensions were taken into account in the design. The mounting of the optical monitoring device is installed on the support structure of the conveyor before the conveyor belt is closed in the form of a pipe, in order to prevent overfilling or even clogging when transporting excessive quantities of conveyed material.

Figure 11 A 3D model of the proposed design variant
Figure 11

A 3D model of the proposed design variant

A detailed breakdown of the costs of implementing the optimal variant is given in Table 4.

Table 4

Costs of implementation

DimensionsTotal costs
Crossbeam material90×40×3 [mm]€ 41.56
Holder material100×60×3 [mm]€ 45.55
Welding and drilling operations-€ 13/hour
Assembly of components-€ 15/hour

5 Conclusion

Due to the increasingly sophisticated technology and development of transport systems, the emphasis is on the flawless transport of material on the conveyor belt. Pipe conveyors are no exception, because of their construction, length and mode of transport they form a complex transport system. They can withstand varying outdoor operating temperatures, adverse weather conditions or the transport of materials with different grain sizes.

The application of the selected optical interlocking device and the optimum attachment to the conveyor support structure results in a more rigorous inspection and detection of actual failures, as well as deficiencies in material transport. The proposed attachments of the interlocking device are recorded by sketches that provide information on the advantages and disadvantages. The result of using the evaluation method is a variant that best meets the established criteria for fixing the respective device to the supporting structure of the pipe conveyor.

Acknowledgement

This work is a part of the following projects: VEGA 1/0403/18, VEGA 1/0063/16, KEGA 012TUKE-4/2019, KEGA 013TUKE-4/2019, APVV SK-SRB-18-0053.

References

[1] Bulkscan_LMS511. Retrieved July 26, 2019, from www.sick.com/media/docs/3/13/613/Product_information_Bulkscan_LMS511_en_IM0045613.pdfSuche in Google Scholar

[2] Kulka J., Kopas M., Faltinova E., Mamntic M. & Bigos P. (2016). Kinematic linkages in the hinged undercarriage of a mobile working machine, Scientific Journal of Silesian University of Technology-Series Transport. 91, 81-88. DOI: 10.20858/sj-sutst.2016.91.8.10.20858/sj-sutst.2016.91.8Suche in Google Scholar

[3] Zeng F., Wu Q., Chu X. & Yue Z. (2015). Measurement of bulk material flow based on laser scanning technology for the energy efflciency improvement of belt conveyors, Meas. J. Int. Meas. Confed. 75, 230–243. DOI:10.1016/j.measurement.2015.05.041.10.1016/j.measurement.2015.05.041Suche in Google Scholar

[4] HeD., Pang Y. & Lodewijks G. (2016). Speed control of belt conveyors during transient operation, Powder Technol. 301, 622–631. DOI:10.1016/j.powtec.2016.07.004.10.1016/j.powtec.2016.07.004Suche in Google Scholar

[5] Wang S., GuoY.C., Li D.Y. & Hu K. (2016). Research of lateral force of pipe conveyor belt’s vertical transport section, Arch. Transp. 37, 67–75. DOI:10.5604/08669546.1203204.10.5604/08669546.1203204Suche in Google Scholar

[6] Aldrich C., Jemwa G.T., Van Dyk J.C., Keyser M.J. & Van Heerden J.H.P. (2010). Online analysis of coal on a conveyor belt by use of machine vision and kernel methods, Int. J. Coal Prep. Util. 30, 331–348. DOI:10.1080/19392699.2010.517486.10.1080/19392699.2010.517486Suche in Google Scholar

[7] Marasová D., Taraba V., Grujic M., Fedorko G., Bindzár P. & Husáková N. (2006). Pásová doprava.Košice, Slovakia: FBERG TU Košice.Suche in Google Scholar

[8] Fedorko G., Molnár V. & Michalik P. (2013). Hadicové dopravníky /Pipe conveyors. Košice, Slovakia: ORTE, spol. s r.o.Suche in Google Scholar

[9] SICK Sensor Intelligence. Retrieved July 26, 2019, from www.sick.com/cz/cs/odvetvi/odpad-a-recyklace/spalovani-organickeho-odpadu-biomass-to-energy/dodani-a-skladovani-biomasy/rizeni-dopravnikoveho-pasu-a-sledovani-drtice-pro-spalovani-organickeho-odpadu/c/p371224Suche in Google Scholar

[10] SICK Sensor Intelligence.Retrieved July 26, 2019, from www.sick.com/cz/cs/fluidni-senzorika/prutokomery/bulkscan-lms511/c/g253553Suche in Google Scholar

Received: 2018-08-21
Accepted: 2019-09-15
Published Online: 2019-12-10

© 2019 V. Molnár and K. Lipovcová, published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

Artikel in diesem Heft

  1. Regular Article
  2. Exploring conditions and usefulness of UAVs in the BRAIN Massive Inspections Protocol
  3. A hybrid approach for solving multi-mode resource-constrained project scheduling problem in construction
  4. Identification of geodetic risk factors occurring at the construction project preparation stage
  5. Multicriteria comparative analysis of pillars strengthening of the historic building
  6. Methods of habitat reports’ evaluation
  7. Effect of material and technological factors on the properties of cement-lime mortars and mortars with plasticizing admixture
  8. Management of Innovation Ecosystems Based on Six Sigma Business Scorecard
  9. On a Stochastic Regularization Technique for Ill-Conditioned Linear Systems
  10. Dynamic safety system for collaboration of operators and industrial robots
  11. Assessment of Decentralized Electricity Production from Hybrid Renewable Energy Sources for Sustainable Energy Development in Nigeria
  12. Seasonal evaluation of surface water quality at the Tamanduá stream watershed (Aparecida de Goiânia, Goiás, Brazil) using the Water Quality Index
  13. EFQM model implementation in a Portuguese Higher Education Institution
  14. Assessment of direct and indirect effects of building developments on the environment
  15. Accelerated Aging of WPCs Based on Polypropylene and Plywood Production Residues
  16. Analysis of the Cost of a Building’s Life Cycle in a Probabilistic Approach
  17. Implementation of Web Services for Data Integration to Improve Performance in The Processing Loan Approval
  18. Rehabilitation of buildings as an alternative to sustainability in Brazilian constructions
  19. Synthesis Conditions for LPV Controller with Input Covariance Constraints
  20. Procurement management in construction: study of Czech municipalities
  21. Contractor’s bid pricing strategy: a model with correlation among competitors’ prices
  22. Control of construction projects using the Earned Value Method - case study
  23. Model supporting decisions on renovation and modernization of public utility buildings
  24. Cements with calcareous fly ash as component of low clinker eco-self compacting concrete
  25. Failure Analysis of Super Hard End Mill HSS-Co
  26. Simulation model for resource-constrained construction project
  27. Getting efficient choices in buildings by using Genetic Algorithms: Assessment & validation
  28. Analysis of renewable energy use in single-family housing
  29. Modeling of the harmonization method for executing a multi-unit construction project
  30. Effect of foam glass granules fillers modification of lime-sand products on their microstructure
  31. Volume Optimization of Solid Waste Landfill Using Voronoi Diagram Geometry
  32. Analysis of occupational accidents in the construction industry with regards to selected time parameters
  33. Bill of quantities and quantity survey of construction works of renovated buildings - case study
  34. Cooperation of the PTFE sealing ring with the steel ball of the valve subjected to durability test
  35. Analytical model assessing the effect of increased traffic flow intensities on the road administration, maintenance and lifetime
  36. Quartz bentonite sandmix in sand-lime products
  37. The Issue of a Transport Mode Choice from the Perspective of Enterprise Logistics
  38. Analysis of workplace injuries in Slovakian state forestry enterprises
  39. Research into Customer Preferences of Potential Buyers of Simple Wood-based Houses for the Purpose of Using the Target Costing
  40. Proposal of the Inventory Management Automatic Identification System in the Manufacturing Enterprise Applying the Multi-criteria Analysis Methods
  41. Hyperboloid offset surface in the architecture and construction industry
  42. Analysis of the preparatory phase of a construction investment in the area covered by revitalization
  43. The selection of sealing technologies of the subsoil and hydrotechnical structures and quality assurance
  44. Impact of high temperature drying process on beech wood containing tension wood
  45. Prediction of Strength of Remixed Concrete by Application of Orthogonal Decomposition, Neural Analysis and Regression Analysis
  46. Modelling a production process using a Sankey diagram and Computerized Relative Allocation of Facilities Technique (CRAFT)
  47. The feasibility of using a low-cost depth camera for 3D scanning in mass customization
  48. Urban Water Infrastructure Asset Management Plan: Case Study
  49. Evaluation the effect of lime on the plastic and hardened properties of cement mortar and quantified using Vipulanandan model
  50. Uplift and Settlement Prediction Model of Marine Clay Soil e Integrated with Polyurethane Foam
  51. IoT Applications in Wind Energy Conversion Systems
  52. A new method for graph stream summarization based on both the structure and concepts
  53. “Zhores” — Petaflops supercomputer for data-driven modeling, machine learning and artificial intelligence installed in Skolkovo Institute of Science and Technology
  54. Economic Disposal Quantity of Leftovers kept in storage: a Monte Carlo simulation method
  55. Computer technology of the thermal stress state and fatigue life analysis of turbine engine exhaust support frames
  56. Statistical model used to assessment the sulphate resistance of mortars with fly ashes
  57. Application of organization goal-oriented requirement engineering (OGORE) methods in erp-based company business processes
  58. Influence of Sand Size on Mechanical Properties of Fiber Reinforced Polymer Concrete
  59. Architecture For Automation System Metrics Collection, Visualization and Data Engineering – HAMK Sheet Metal Center Building Automation Case Study
  60. Optimization of shape memory alloy braces for concentrically braced steel braced frames
  61. Topical Issue Modern Manufacturing Technologies
  62. Feasibility Study of Microneedle Fabrication from a thin Nitinol Wire Using a CW Single-Mode Fiber Laser
  63. Topical Issue: Progress in area of the flow machines and devices
  64. Analysis of the influence of a stator type modification on the performance of a pump with a hole impeller
  65. Investigations of drilled and multi-piped impellers cavitation performance
  66. The novel solution of ball valve with replaceable orifice. Numerical and field tests
  67. The flow deteriorations in course of the partial load operation of the middle specific speed Francis turbine
  68. Numerical analysis of temperature distribution in a brush seal with thermo-regulating bimetal elements
  69. A new solution of the semi-metallic gasket increasing tightness level
  70. Design and analysis of the flange-bolted joint with respect to required tightness and strength
  71. Special Issue: Actual trends in logistics and industrial engineering
  72. Intelligent programming of robotic flange production by means of CAM programming
  73. Static testing evaluation of pipe conveyor belt for different tensioning forces
  74. Design of clamping structure for material flow monitor of pipe conveyors
  75. Risk Minimisation in Integrated Supply Chains
  76. Use of simulation model for measurement of MilkRun system performance
  77. A simulation model for the need for intra-plant transport operation planning by AGV
  78. Operative production planning utilising quantitative forecasting and Monte Carlo simulations
  79. Monitoring bulk material pressure on bottom of storage using DEM
  80. Calibration of Transducers and of a Coil Compression Spring Constant on the Testing Equipment Simulating the Process of a Pallet Positioning in a Rack Cell
  81. Design of evaluation tool used to improve the production process
  82. Planning of Optimal Capacity for the Middle-Sized Storage Using a Mathematical Model
  83. Experimental assessment of the static stiffness of machine parts and structures by changing the magnitude of the hysteresis as a function of loading
  84. The evaluation of the production of the shaped part using the workshop programming method on the two-spindle multi-axis CTX alpha 500 lathe
  85. Numerical Modeling of p-v-T Rheological Equation Coefficients for Polypropylene with Variable Chalk Content
  86. Current options in the life cycle assessment of additive manufacturing products
  87. Ideal mathematical model of shock compression and shock expansion
  88. Use of simulation by modelling of conveyor belt contact forces
Heruntergeladen am 8.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/eng-2019-0068/html
Button zum nach oben scrollen