Abstract
In order to efficiently and accurately diagnose train electrical faults, we propose a fault diagnosis method for electrical equipment based on virtual simulation technology. First, Creo software was used to build a subway train model. Then, 3DMAX software was used to make animation and demonstrate the working principle and action process of the train electrical system. Finally, using Unity 3D software, a human–computer interaction mechanism was established, achieving presence and realism. This system realizes the functions of knowledge learning, student assessment, principal display, and troubleshooting of the electrical system of subway trains and is compared with the method of manual diagnosis. Experimental results show that in the designed fault diagnosis system, the detection time for various types of faults is shorter than 30 s, whereas the diagnosis time of the manual diagnosis method is 30–52 s. It shows that the electrical equipment fault diagnosis system based on virtual simulation has the advantages such as short fault diagnosis time and high efficiency. In addition, the highest diagnostic accuracy of the manual diagnosis method is 75.48%, which is far lower than the accuracy of the diagnostic system. Conclusion: It is proved that the designed fault diagnosis system has the advantages such as short detection time and high accuracy and can meet the safety requirements of industrial production.
1 Introduction
There are two methods for the inspection and maintenance of electrical equipment in the production plant: the first is the maintenance method after an accident occurs. This method is to be repaired after the electrical equipment in the installation has a fault problem; in this way of maintenance, the accident of the production device has occurred, and it has an impact on the continuous, stable, and safe production operation of the device; therefore, the economic loss and time loss that the production enterprise has to bear under this maintenance method are also the largest. Since the economic loss of this maintenance method is the largest, in this enterprise, among the requirements for electrical equipment management, the inspection and maintenance work after the failure is only used during the operation of the production plant; the normal production and operation of the production device does not have a substantial impact; the degree is very small; it does not require electrical equipment that must be running at all times, and has spare electrical equipment, or uses other forms of inspection and maintenance methods that are uneconomical and unscientific device [1]. The second maintenance method is preventive regular maintenance. In this method, based on the operating time of the equipment, the maintenance staff usually divide the maintenance of electrical equipment into medium repairs and minor repairs; whether the electrical equipment needs to be overhauled is judged by the sound of the electrical equipment running and the temperature of the equipment during the staff patrol inspection process; this requires employees to summarize their experience, so there will be errors in judgment; especially for new employees with less experience, the probability of errors will increase, for electrical equipment that is not in operation for a long time; because there are established management regulations, employees must follow the content of the management regulations, i.e., no matter what the state of the electrical equipment is in operation, when the time is up, the staff will arrange a plan for maintenance [2]. This preventive maintenance work according to the time factor also has advantages and disadvantages, but with the development of science and technology over the years, the development of the system to high-voltage, large-scale, network technology information, and the improvement of the requirements of the power supply department and the power consumption department, this traditional maintenance method is not suitable for today’s rapidly developing large enterprises; the main reasons are as follows: (i) it is necessary to overhaul and maintain the equipment of the device when the power is cut off, in order to enable the continuous operation of the production device in a safe, stable, and reliable manner, and the important electrical equipment of a single unit cannot be easily withdrawn from operation; (ii) check the electrical equipment after a power failure, and find that the state of the electrical equipment is inconsistent when it is running alone and when it is tested and checked in the device, such as the operating current, vibration value, and temperature of the equipment, which affects the accuracy of the judgment of the equipment; (iii) affected by the inspection and maintenance cycle, some electrical equipment that is not in continuous operation is judged by employees based on experience during inspection and maintenance; due to the difference in the business ability and experience of each employee, the time selection of maintenance is often not very accurate and reliable, so that there is no good solution to the electrical equipment problems that occur during two adjacent maintenance periods.
2 Literature review
Wang et al. developed an intelligent classification system. The system uses infrared thermal imaging technology to diagnose internal faults of electrical equipment. First, the possible fault areas are manually found through the toolbox of Matlab, and then the red green and blue data of infrared thermal imaging is used as input, and the artificial neural network is used to analyze and obtain the diagnosis result. In the process of experimental analysis, after a certain verification of the selection of the number of neurons in the hidden layer, about 300 infrared images were processed, and the accuracy rate reached 92.82% [3]. Li et al. designed a detection system for detecting basic faults in electrical equipment. The system uses the Zernike moment of the obtained image as its characteristic value and uses support vector machine as a classifier to detect several common errors, such as the damage of the cable joint of the fuse or the failure of the fuse base. The detection system can only detect the most common types of equipment failures with an accuracy of about 83% [4]. Li et al. designed an intelligent thermal imaging diagnostic system to detect the fault of lightning protection system. The system first uses the watershed algorithm to segment the area to be detected and then divides the detection results into three categories: normal, suspicious, and faulty, using a fuzzy neural network. In the specific experimental process, about 100 infrared images were processed, and the accuracy of the system was about 90% [5]. Richoz et al. used a multilayer perceptron neural network for fault detection of electrical equipment. During the experiment, 15 eigenvalues of the infrared image were extracted for the experiment, and 6 eigenvalues were finally selected to be input into the multilayer perceptron network, and the correct rate of the detection results was 79.4% [6]. Amarendra and Reddy developed a real-time offline inspection system based on infrared thermal imaging. The system detects the fault of the electrical system by monitoring the heating area in real time and offline [7]. Mahanta et al. designed a context-dependent fuzzy logic system implemented recursively for hot spot correlation detection of electrical equipment. In the course of the experiment, when it is divided into two categories and three categories according to relevant conditions, the accuracy rates are 92 and 80%, respectively [8]. Pereira et al. proposed a fault diagnosis method based on the finite element analysis of permanent magnet synchronous motor stator winding inter-turn short circuit, established a motor simulation model based on Maxwell 2D, and changed the model parameters to set different short circuit conditions of the motor; the fault degree of the motor is judged according to the influence of the negative sequence current on the load [9]. Kurt and Salamov proposed to establish a motor model based on the finite element analysis in healthy state and fault state and calculate the parameters such as leakage inductance and air gap magnetic flux density of the rotor in the two states; compared with the change of parameters, the model diagnoses whether the fault occurs or not [10]. Kuo and Chang took the inter-turn short-circuit fault of permanent magnet synchronous motor stator winding as the research object, using the spectral characteristics of the fusion vibration signal and the stator current signal to judge the inter-turn short circuit fault, using the improved wavelet packet transform algorithm and fast Fourier transform (FFT), processing and analyzing the acquired signals, thereby effectively diagnosing the existing faults [11]. Using FFT on the signals of motor vibration and stator current, a fractional resampling is proposed to reduce spectral leakage to improve the FFT-based method and to extract and process the characteristic parameters of the fault to diagnose the motor fault [12]. Based on generative adversarial networks and sparse self-encoding deep learning networks, a high-efficiency diagnostic method for winding inter-turn short-circuit faults was given; according to the collected negative sequence current and torque characteristic signals of permanent magnet synchronous motor, the generative adversarial neural network is used to realize the expansion and increase of sample data, and a training set is constructed and combined with a sparse self-encoding network to achieve efficient and accurate fault feature classification and diagnosis [13]. Deng et al. proposed to use a multilayer artificial neural network to diagnose and classify short-circuit faults at different levels in permanent magnet synchronous motor stator windings, through empirical mode decomposition, using neural networks for fault diagnosis [14].
Parlak will use virtual reality (VR) technology; based on the arrangement of the electrical system in the real subway train, the working principle, and the action process, the simulation is carried out, and a set of train electrical simulation system based on VR is designed [15]. This system simulates a subway train realistically, arranges the electrical system in the train body, enhances the three-dimensional sense, facilitates the students to learn and observe, understands the arrangement position of the circuit in the car body, and also facilitates the reference and guidance of the electrical system troubleshooting.
3 Research methods
3.1 VR
Introduction to VR technology
Virtual reality technology (virtual reality), referred to as VR technology, mainly generates three-dimensional virtual space with the help of computer and simulates the real environment; through the fusion and interaction of various information, the simulation of hearing, vision, touch, and other senses can be achieved, resulting in an immersive feeling [16]. With the help of a variety of digital equipment such as digital helmets and digital gloves, the simulated environment is more realistic and close to reality, so as to obtain a better human–computer interaction experience.
Features and advantages of VR technology
VR technology has three characteristics, which are explained as follows.
Immersion: Using scenes and plot settings, combined with human sensory characteristics, constructs a realistic virtual environment, immersing people in it and getting an immersive feeling.
Interactivity: Objects in the virtual environment will interact with the user’s physical activities, so that an interesting connection is established between the user and the virtual world, and a more direct and effective human–computer interaction can be achieved.
Conceptual: Create a wealth of realistic scenes in a limited space, and build a space full of imagination; users can conduct rational exploration in the qualitative and quantitative environment of system configuration, improve scientific understanding, and expand thinking and imagination.
The biggest advantage of VR technology is to simulate real scenes realistically, break through the limitations of time and space, enhance the efficiency of information dissemination with immersion, mobilize the enthusiasm of users with interactivity, and increase the interest of users with conception [17,18]. VR technology effectively solves many problems that are inconvenient for on-site implementation and is widely used in aerospace, medical research, display of precious cultural relics, and other fields.
3.2 Architecture of train electrical simulation system
The main purpose of the train electrical simulation system is for customers, students, and other groups to browse and inspect the electrical system of the train and to learn and study the working principle and action process of the electrical system of the train; in addition, it will also involve the fault simulation and maintenance of the train electrical system [19]. Based on this, the functional architecture of the electrical system obtained from the study is shown in Figure 1.

Functional architecture of train electrical simulation system.
As can be seen from Figure 1, the functional architecture of the system can be explained and analyzed as follows:
Display function: The working principle and action process of the train electrical system can be shown to the audience, the branch system to be displayed can be freely selected, and the panoramic display and partial display can be flexibly switched to facilitate the audience to view the details [20].
Learning function: Students can freely learn the working principle and structural construction of circuits and other related knowledge and conduct virtual demonstrations. Switch to a branch system that is still weak in understanding and mastery according to its own learning situation and is not disturbed by irrelevant circuit systems.
Training function: You can use this system to train new students, break the limitation of time and space, and stay away from the maintenance site; using the simulation of real fault detection and maintenance training, the students can easily master the basic maintenance technology in the virtual training.
Assessment function: In the virtual electrical system, the fault point and fault mode are set at will, and it is required to find out the fault point and the cause of the fault, and eliminate the fault, and carry out the fault maintenance assessment [21]. Students can start self-inspection at any time, test their learning effect, and consolidate and digest the learning content.
Maintenance function: It can deduce and verify the on-site maintenance plan and maintenance plan and cooperate with the on-site troubleshooting.
In order to realize these functions, control commands are further set in the system, as detailed below.
System branch selection (system full display) command: Select the target branch system, and separate the target branch (panoramic view of the overall train/electrical system).
Blanking (displaying) command: Blanking (displaying) things other than the target, so that the structure, dynamic relationship, and other information of the doubtful target can be clearly seen.
Freeze (unfreeze) command: Indicates that the selected part is faulty (normal) and cannot work normally (can work normally).
In addition, there are commands for scaling, rotation, transparency, etc.
3.3 Functional design of train electrical simulation system
The train electrical system is divided into 15 system branches, such as pantograph lifting system, traction braking system, and door system, so as to facilitate the independent display of a single branch system and eliminate irrelevant line interference [22]. This system is mainly composed of two modules: basic learning and maintenance assessment. Among them, the basic learning module is mainly to learn the basic knowledge of the train electrical system and demonstrate the operation of the circuit and the operation process; in the control demonstration, you can browse the whole panorama as a whole, or display the local system; you can understand the macro-statically; or you can demonstrate the experience dynamically. The maintenance assessment module is an assessment of circuit fault maintenance and trainees’ abilities; it can simulate circuit faults, train employees’ ability to perform fault maintenance, cooperate with on-site maintenance work, conduct troubleshooting drills to guide maintenance personnel to quickly find fault points and eliminate faults, as well as to assess the professional skills of students [23]. The overall structure of the system is shown in Figure 2.

Overall structure of train electrical simulation system.
3.4 Knowledge learning
3.4.1 Basic learning
A display screen is set in the scene of the train electrical simulation system, and the basic knowledge related to the train electrical system is stored in the database in the background of the system; after program control, the display in the scene is associated with this part of the database; by displaying the basic knowledge content, the trainee can learn and master the basic knowledge of the electrical system according to the content on the display and the auxiliary train model [24,25].
3.4.2 Control simulation
After entering the control simulation platform, you can operate and display the electrical system of the train, you can choose to hide or display the car body, or you can make the car body transparent. The animation demonstration process is shown in Figure 3; according to personal needs, select the full display of the electrical system or select the branch system, static circuit, or dynamic circuit; click the action contact; and the demonstration animation starts.

Animation demonstration process diagram.
3.5 Inspection and maintenance
3.5.1 Troubleshooting
The troubleshooting module has two modes: troubleshooting training mode and maintenance plan verification mode. After entering this module, the operation mode can be set first. The troubleshooting training mode is a mode in which students train themselves; students can freely set failure modes, failure points, and failure branch systems; and carry out consolidation training and self-testing on the skills they have learned; The maintenance plan verification mode is a mode used by the fault maintenance unit of the train electrical system to reason and verify its own maintenance plan, use this to reason and demonstrate the maintenance plan before it is officially put into actual maintenance, find out deficiencies and hidden dangers, improve the maintenance plan, and eliminate the possibility of hidden accidents.
3.5.2 Ability assessment
The ability assessment module is an assessment mode for the administrator to examine the students’ maintenance skills; the examiner can freely set the failure mode, failure point, and failure branch system (the system used by the students does not have this authority), and the examiner assess trainees’ mastery of troubleshooting techniques; facing students at different learning stages, the examiner can set the difficulty level of the assessment in a targeted manner.
The troubleshooting process of the electrical system is shown in Figure 4. First, set the fault, then set the detection node freely, and check the working status of the circuit in sections until the fault is eliminated and the circuit can work normally.

Electrical system troubleshooting process.
3.6 Development of train electrical simulation system
The development of the train electrical simulation system mainly includes three-dimensional modeling and animation production in the early stage, scene interaction in the later stage, and background database cooperation; finally, a train electrical simulation system based on VR is formed. The research to be carried out on this is discussed as follows.
3.6.1 3D modeling
3D modeling is the basis of VR technology; in order to build a scene, it is necessary to optimize the rendering based on the 3D model. First, measure some key real data, and then use Creo 4.0 software to build a three-dimensional model of the subway train. According to the primary and secondary order of the research contents, different modeling accuracy processing methods are adopted for the modeling of different parts; this topic is mainly aimed at the train electrical system; therefore, the modeling accuracy of the train electrical system and related action elements is higher, while the modeling accuracy of some unnecessary elements is lower – for example, the pantograph, electrical cabinet, solenoid valve, relay, and other parts are finely modeled, and the bogie, door, and other parts are roughly modeled. In order to facilitate importing into 3D MAX software for animation, save the model in stp format.
3.6.2 Animation production
In order to cooperate with the virtual scene interaction, the system includes a large number of animations such as pantograph rising, landing, train parking, and starting. Take the lifting and lowering of the train pantograph as an example; after the driver presses the control button, the circuit starts to circulate, the current flowing from the battery flows through the wires and various components to the pantograph lifting motor, and finally, the pantograph rises and falls. In the 3DMAX software, the animation of the parts in the whole process is developed, exported to the FBX format used by the Unity software, and applied to the scene interaction.
3.6.3 Database and system interface development
The normal operation of the train electrical simulation system is inseparable from the support of the background database. Using SQL Server software, a background database is established, and the relevant knowledge of the train electrical system and the basic questions of the train electrical system are stored in the database.
The system interface development process is a process of integrating and synthesizing the system model, background database, and operation interaction functions through the development environment of the Unity 3D software NGUI plug-in, which uses C# language to establish the main interface of the system and establishes the connection with the background database.
3.6.4 Scene interaction and roaming
Scene interaction and roaming technology are the core of this system; using Unity 3D as the development engine of the system has more powerful light and shadow effects. The scene display of the system requires human control, and a virtual helmet and operating handle are required for use. After wearing the virtual helmet, the virtual subway train body appears in the field of vision; by operating the handle, you can control various things in the scene and perform human–computer interaction operations, such as vehicle body blanking, current dynamic display, and scene roaming. The research contents are as follows:
The vehicle body is blurred and hidden. In order to make it easier for users to see the layout and structure of the electrical system in more detail, the car body is virtualized and hidden, i.e., the electrical system of the subway train is displayed. Use the UI plug-in to set a button, and when you click it, the selected object will be blurred and hidden. In the state where the vehicle body is blurred and hidden, the electrical branch system can be switched as needed, and a single electrical system can be displayed independently, which is more concise and clear.
Current dynamic display: The electrical system troubleshooting and the electrical system working principle display both need to reflect the current flow; in Unity, the circuit is used as the operation object, and the C# language programming is used to make scripts and control the direction of the current so that the circuit gradually turns red, indicating the direction of the current flow.
Scene roaming: Scene roaming is an indispensable function in the virtual system Users can simulate real actions and enter the interior of the train body; watch in detail the arrangement of the lines and components of the train electrical system; write a script and load it on the camera; and set the joystick key as the scene rotation key; the up, down, left, and right keys represent up, down, left, and right movement, respectively. The operation mode is simple and convenient, and the user can roam freely in the virtual scene.
4 Result analysis
Classify electrical equipment faults, determine the types of electrical equipment faults, and provide a basis for electrical equipment fault diagnosis. Assuming that the historical operation database of electrical equipment is T, the total amount of data is n, and the fault types of electrical equipment are five categories: A, B, C, D, and E are used to identify, respectively, motor failure, inverter failure, abnormal temperature, circuit breaker failure, and power failure. Then, the electrical equipment fault example library is represented as
where
Under normal circumstances, the shorter the fault diagnosis time, the better the system performance. In the field of industrial production, the upper limit of fault diagnosis time for electrical equipment is 57 s. The fault diagnosis time results and accuracy results of the design system are obtained through testing, as shown in Table 1 and Figure 5.
Comparison table of fault diagnosis time results
| Fault type | Manual diagnosis method time (s) | Design diagnosis system time (s) |
|---|---|---|
| A | 44 | 23 |
| B | 52 | 25 |
| C | 51 | 24 |
| D | 48 | 21 |
| E | 34 | 27 |

Comparison of fault diagnosis accuracy results.
The data in Table 1 and Figure 5 show that in the designed fault diagnosis system, the detection time for various types of faults is shorter than 30 s, whereas the diagnosis time of the manual diagnosis method is 30–52 s. It shows that the electrical equipment fault diagnosis system based on virtual simulation has the advantages of short fault diagnosis time and high efficiency. In addition, the highest diagnostic accuracy of the manual diagnosis method is 75.48%, which is far lower than the accuracy of the diagnostic system. This proves that the designed fault diagnosis system has the advantages of short detection time and high accuracy and can meet the safety requirements of industrial production.
5 Conclusion
The train electrical simulation system truly restores the train electrical system structure; the working principle of the electrical system is realistically simulated, showing the current flowing from the battery and pantograph to the inverter, high-speed circuit breaker and other components, up to the process of the final action parts such as pantograph and traction brake device, demonstrating the action process of the electrical system from the touch switch to the components and action parts; the transformation of the train electrical system from a two-dimensional plan view to a three-dimensional view is realized. In addition, the comparison of the efficiency and accuracy of the designed diagnosis system and the manual diagnosis method is also added; the system has stronger practicability, higher accuracy, and faster diagnosis time.
Acknowledgments
The study was supported by “Education Department of Henan Province,” Project No. 2018119 and No. 2021174.
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Author contributions: J.C. and H.L. prepared the original draft of the manuscript. N.X. and P.P.S. validated the results. P.V. and C.V.K.R. have prepared the figures. All authors have reviewed the final draft of the manuscript.
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Conflict of interest: The authors do not have any kind of conflict of interest.
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Data availability statement: Data shall be made available on request.
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This work is licensed under the Creative Commons Attribution 4.0 International License.
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- The construction and development of economic education model in universities based on the spatial Durbin model
- Homoclinic breather, periodic wave, lump solution, and M-shaped rational solutions for cold bosonic atoms in a zig-zag optical lattice
- Fractional insights into Zika virus transmission: Exploring preventive measures from a dynamical perspective
- Rapid Communication
- Influence of joint flexibility on buckling analysis of free–free beams
- Special Issue: Recent trends and emergence of technology in nonlinear engineering and its applications - Part II
- Research on optimization of crane fault predictive control system based on data mining
- Nonlinear computer image scene and target information extraction based on big data technology
- Nonlinear analysis and processing of software development data under Internet of things monitoring system
- Nonlinear remote monitoring system of manipulator based on network communication technology
- Nonlinear bridge deflection monitoring and prediction system based on network communication
- Cross-modal multi-label image classification modeling and recognition based on nonlinear
- Application of nonlinear clustering optimization algorithm in web data mining of cloud computing
- Optimization of information acquisition security of broadband carrier communication based on linear equation
- A review of tiger conservation studies using nonlinear trajectory: A telemetry data approach
- Multiwireless sensors for electrical measurement based on nonlinear improved data fusion algorithm
- Realization of optimization design of electromechanical integration PLC program system based on 3D model
- Research on nonlinear tracking and evaluation of sports 3D vision action
- Analysis of bridge vibration response for identification of bridge damage using BP neural network
- Numerical analysis of vibration response of elastic tube bundle of heat exchanger based on fluid structure coupling analysis
- Establishment of nonlinear network security situational awareness model based on random forest under the background of big data
- Research and implementation of non-linear management and monitoring system for classified information network
- Study of time-fractional delayed differential equations via new integral transform-based variation iteration technique
- Exhaustive study on post effect processing of 3D image based on nonlinear digital watermarking algorithm
- A versatile dynamic noise control framework based on computer simulation and modeling
- A novel hybrid ensemble convolutional neural network for face recognition by optimizing hyperparameters
- Numerical analysis of uneven settlement of highway subgrade based on nonlinear algorithm
- Experimental design and data analysis and optimization of mechanical condition diagnosis for transformer sets
- Special Issue: Reliable and Robust Fuzzy Logic Control System for Industry 4.0
- Framework for identifying network attacks through packet inspection using machine learning
- Convolutional neural network for UAV image processing and navigation in tree plantations based on deep learning
- Analysis of multimedia technology and mobile learning in English teaching in colleges and universities
- A deep learning-based mathematical modeling strategy for classifying musical genres in musical industry
- An effective framework to improve the managerial activities in global software development
- Simulation of three-dimensional temperature field in high-frequency welding based on nonlinear finite element method
- Multi-objective optimization model of transmission error of nonlinear dynamic load of double helical gears
- Fault diagnosis of electrical equipment based on virtual simulation technology
- Application of fractional-order nonlinear equations in coordinated control of multi-agent systems
- Research on railroad locomotive driving safety assistance technology based on electromechanical coupling analysis
- Risk assessment of computer network information using a proposed approach: Fuzzy hierarchical reasoning model based on scientific inversion parallel programming
- Special Issue: Dynamic Engineering and Control Methods for the Nonlinear Systems - Part I
- The application of iterative hard threshold algorithm based on nonlinear optimal compression sensing and electronic information technology in the field of automatic control
- Equilibrium stability of dynamic duopoly Cournot game under heterogeneous strategies, asymmetric information, and one-way R&D spillovers
- Mathematical prediction model construction of network packet loss rate and nonlinear mapping user experience under the Internet of Things
- Target recognition and detection system based on sensor and nonlinear machine vision fusion
- Risk analysis of bridge ship collision based on AIS data model and nonlinear finite element
- Video face target detection and tracking algorithm based on nonlinear sequence Monte Carlo filtering technique
- Adaptive fuzzy extended state observer for a class of nonlinear systems with output constraint
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- Research Articles
- The regularization of spectral methods for hyperbolic Volterra integrodifferential equations with fractional power elliptic operator
- Analytical and numerical study for the generalized q-deformed sinh-Gordon equation
- Dynamics and attitude control of space-based synthetic aperture radar
- A new optimal multistep optimal homotopy asymptotic method to solve nonlinear system of two biological species
- Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube
- Self-optimization examination system based on improved particle swarm optimization
- Overlapping grid SQLM for third-grade modified nanofluid flow deformed by porous stretchable/shrinkable Riga plate
- Research on indoor localization algorithm based on time unsynchronization
- Performance evaluation and optimization of fixture adapter for oil drilling top drives
- Nonlinear adaptive sliding mode control with application to quadcopters
- Numerical simulation of Burgers’ equations via quartic HB-spline DQM
- Bond performance between recycled concrete and steel bar after high temperature
- Deformable Laplace transform and its applications
- A comparative study for the numerical approximation of 1D and 2D hyperbolic telegraph equations with UAT and UAH tension B-spline DQM
- Numerical approximations of CNLS equations via UAH tension B-spline DQM
- Nonlinear numerical simulation of bond performance between recycled concrete and corroded steel bars
- An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions
- Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation
- Influence of the blade size on the dynamic characteristic damage identification of wind turbine blades
- Cilia and electroosmosis induced double diffusive transport of hybrid nanofluids through microchannel and entropy analysis
- Semi-analytical approximation of time-fractional telegraph equation via natural transform in Caputo derivative
- Analytical solutions of fractional couple stress fluid flow for an engineering problem
- Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation
- Pricing weather derivatives in an uncertain environment
- Variational principles for a double Rayleigh beam system undergoing vibrations and connected by a nonlinear Winkler–Pasternak elastic layer
- Novel soliton structures of truncated M-fractional (4+1)-dim Fokas wave model
- Safety decision analysis of collapse accident based on “accident tree–analytic hierarchy process”
- Derivation of septic B-spline function in n-dimensional to solve n-dimensional partial differential equations
- Development of a gray box system identification model to estimate the parameters affecting traffic accidents
- Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem
- New kink-periodic and convex–concave-periodic solutions to the modified regularized long wave equation by means of modified rational trigonometric–hyperbolic functions
- Explicit Chebyshev Petrov–Galerkin scheme for time-fractional fourth-order uniform Euler–Bernoulli pinned–pinned beam equation
- NASA DART mission: A preliminary mathematical dynamical model and its nonlinear circuit emulation
- Nonlinear dynamic responses of ballasted railway tracks using concrete sleepers incorporated with reinforced fibres and pre-treated crumb rubber
- Two-component excitation governance of giant wave clusters with the partially nonlocal nonlinearity
- Bifurcation analysis and control of the valve-controlled hydraulic cylinder system
- Engineering fault intelligent monitoring system based on Internet of Things and GIS
- Traveling wave solutions of the generalized scale-invariant analog of the KdV equation by tanh–coth method
- Electric vehicle wireless charging system for the foreign object detection with the inducted coil with magnetic field variation
- Dynamical structures of wave front to the fractional generalized equal width-Burgers model via two analytic schemes: Effects of parameters and fractionality
- Theoretical and numerical analysis of nonlinear Boussinesq equation under fractal fractional derivative
- Research on the artificial control method of the gas nuclei spectrum in the small-scale experimental pool under atmospheric pressure
- Mathematical analysis of the transmission dynamics of viral infection with effective control policies via fractional derivative
- On duality principles and related convex dual formulations suitable for local and global non-convex variational optimization
- Study on the breaking characteristics of glass-like brittle materials
- The construction and development of economic education model in universities based on the spatial Durbin model
- Homoclinic breather, periodic wave, lump solution, and M-shaped rational solutions for cold bosonic atoms in a zig-zag optical lattice
- Fractional insights into Zika virus transmission: Exploring preventive measures from a dynamical perspective
- Rapid Communication
- Influence of joint flexibility on buckling analysis of free–free beams
- Special Issue: Recent trends and emergence of technology in nonlinear engineering and its applications - Part II
- Research on optimization of crane fault predictive control system based on data mining
- Nonlinear computer image scene and target information extraction based on big data technology
- Nonlinear analysis and processing of software development data under Internet of things monitoring system
- Nonlinear remote monitoring system of manipulator based on network communication technology
- Nonlinear bridge deflection monitoring and prediction system based on network communication
- Cross-modal multi-label image classification modeling and recognition based on nonlinear
- Application of nonlinear clustering optimization algorithm in web data mining of cloud computing
- Optimization of information acquisition security of broadband carrier communication based on linear equation
- A review of tiger conservation studies using nonlinear trajectory: A telemetry data approach
- Multiwireless sensors for electrical measurement based on nonlinear improved data fusion algorithm
- Realization of optimization design of electromechanical integration PLC program system based on 3D model
- Research on nonlinear tracking and evaluation of sports 3D vision action
- Analysis of bridge vibration response for identification of bridge damage using BP neural network
- Numerical analysis of vibration response of elastic tube bundle of heat exchanger based on fluid structure coupling analysis
- Establishment of nonlinear network security situational awareness model based on random forest under the background of big data
- Research and implementation of non-linear management and monitoring system for classified information network
- Study of time-fractional delayed differential equations via new integral transform-based variation iteration technique
- Exhaustive study on post effect processing of 3D image based on nonlinear digital watermarking algorithm
- A versatile dynamic noise control framework based on computer simulation and modeling
- A novel hybrid ensemble convolutional neural network for face recognition by optimizing hyperparameters
- Numerical analysis of uneven settlement of highway subgrade based on nonlinear algorithm
- Experimental design and data analysis and optimization of mechanical condition diagnosis for transformer sets
- Special Issue: Reliable and Robust Fuzzy Logic Control System for Industry 4.0
- Framework for identifying network attacks through packet inspection using machine learning
- Convolutional neural network for UAV image processing and navigation in tree plantations based on deep learning
- Analysis of multimedia technology and mobile learning in English teaching in colleges and universities
- A deep learning-based mathematical modeling strategy for classifying musical genres in musical industry
- An effective framework to improve the managerial activities in global software development
- Simulation of three-dimensional temperature field in high-frequency welding based on nonlinear finite element method
- Multi-objective optimization model of transmission error of nonlinear dynamic load of double helical gears
- Fault diagnosis of electrical equipment based on virtual simulation technology
- Application of fractional-order nonlinear equations in coordinated control of multi-agent systems
- Research on railroad locomotive driving safety assistance technology based on electromechanical coupling analysis
- Risk assessment of computer network information using a proposed approach: Fuzzy hierarchical reasoning model based on scientific inversion parallel programming
- Special Issue: Dynamic Engineering and Control Methods for the Nonlinear Systems - Part I
- The application of iterative hard threshold algorithm based on nonlinear optimal compression sensing and electronic information technology in the field of automatic control
- Equilibrium stability of dynamic duopoly Cournot game under heterogeneous strategies, asymmetric information, and one-way R&D spillovers
- Mathematical prediction model construction of network packet loss rate and nonlinear mapping user experience under the Internet of Things
- Target recognition and detection system based on sensor and nonlinear machine vision fusion
- Risk analysis of bridge ship collision based on AIS data model and nonlinear finite element
- Video face target detection and tracking algorithm based on nonlinear sequence Monte Carlo filtering technique
- Adaptive fuzzy extended state observer for a class of nonlinear systems with output constraint