Applied Nonlinear Dynamics, Vibration, and Control in Industrial Systems

A special issue of Machines (ISSN 2075-1702). This special issue belongs to the section "Machines Testing and Maintenance".

Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 11607

Special Issue Editors


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Guest Editor
School of Automation and Electrical Engineering, University of Jinan, Jinan 250024, China.
Interests: nonlinear control; control applications; intelligent robotics

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Guest Editor
Institute of Robotics and Automatic Information Systems, College of Artificial Intelligence, Nankai University, Tianjin 300350, China
Interests: vehicle control; mobile robotics; flying robotics; motion control; robot control; motion/trajectory planning; dynamics analysis and control of mechatronic systems
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Special Issue Information

Dear Colleagues,

More and more research and development activities are involving multidisciplinary and interdisciplinary work collectively carried out by researchers and engineers from various backgrounds today. This Special Issue aims to provide a high-quality academic exchange platform for the most recent advances in areas related to nonlinear dynamics, vibration analysis and control, control system theory and methods, robotics, and their various engineering applications. This Special Issue will reflect the state of the art of applied nonlinear dynamics and control in science and engineering practice and is an opportunity to exchange scientific, technical, and experimental ideas in a multidisciplinary and interdisciplinary manner.

This Special Issue will serve as a practical and comprehensive forum for exchanging novel research ideas or empirical practices that bridge the control of modeling, simulation, experiment, and control of practical engineering systems. Papers that analyze particular aspects of the nonlinearity employment of industrial systems, involving, for example, the influence, estimation, and attenuation methods of the internal and external disturbances and uncertainties, are welcome.

Dr. Menghua Zhang
Prof. Ning Sun
Guest Editors

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Keywords

  • engineering applications
  • internal and external disturbances
  • dynamic uncertainties
  • vibration isolation
  • nonlinearity
  • robotics
  • signal processing
  • robustness
  • optimization
  • underactuated systems

Published Papers (6 papers)

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Research

23 pages, 7469 KiB  
Article
Research on Swing Model and Fuzzy Anti Swing Control Technology of Bridge Crane
by Zhen Yu, Hao-Ming Dong and Chang-Ming Liu
Machines 2023, 11(6), 579; https://doi.org/10.3390/machines11060579 - 23 May 2023
Cited by 3 | Viewed by 1284
Abstract
A bridge crane is often used in a complex environment and is often subject to the interference of all loads. Some uncertain factors often have an inevitable impact on its swing. So the force situation of the bridge crane during a working cycle [...] Read more.
A bridge crane is often used in a complex environment and is often subject to the interference of all loads. Some uncertain factors often have an inevitable impact on its swing. So the force situation of the bridge crane during a working cycle is analyzed, and a three-dimensional dynamic mathematical model of the bridge crane is built. Through the simulation analysis of the model under the action of a driving force and wind load, the change law of the swing angle of the bridge crane is studied. Then, the fuzzy control theory is used to determine the control parameter in the anti-sway control process. The position, swing angle deviation, and deviation rate of the bridge crane are taken as the input, and the parameter correction is obtained after the fuzzification by using the center of gravity method. The anti-sway fuzzy control system of the bridge crane is designed and simulated. The research results show that the swing model of the crane is reasonable and the fuzzy PID anti-sway controller can not only improve the adaptability of the control system, but also overcome the large overshoot, quickly restrain the swing, and effectively realize the anti-sway function of the bridge crane. Full article
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15 pages, 5540 KiB  
Article
Deformation and Response Analysis of Spur Gear Pairs with Flexible Ring Gears and Localized Spalling Faults
by Shuping Yan, Peng Dai, Da Shu, Jianbin Wang, Shan Wei, Pengfei Liu, Dabin Zhang and Hongwei Li
Machines 2022, 10(7), 560; https://doi.org/10.3390/machines10070560 - 11 Jul 2022
Cited by 2 | Viewed by 1397
Abstract
For the analysis on the deformation of flexible ring gears in spur gear pairs, the complete flexible ring is discretized, and the boundary condition is added to the connecting points to develop a calculation method for the flexible deformation. The ovality index is [...] Read more.
For the analysis on the deformation of flexible ring gears in spur gear pairs, the complete flexible ring is discretized, and the boundary condition is added to the connecting points to develop a calculation method for the flexible deformation. The ovality index is used to describe the deformation degree of flexible ring gears, then the influences of ring-gear width and the spalling defects on the flexible deformation of ring gears are discussed. The result shows that the flexible deformation of ring gears is caused by the gear pair meshing force, and the deformed shape is close to an ellipse. In the single-tooth meshing interval of gear pairs, the main form of deformation is being stretched, and while in the double-tooth meshes, the main form is bending deformation. When the width of the ring gear rims is increased, the flexible deformation of the ring gears can be effectively suppressed, and the vibration amplitude of the gear pairs can be reduced. Additionally, when there is a localized spalling fault on gear pairs, the sudden changes in the deformation of flexible ring gears are generated by the shock of the meshing force. Finally, through the finite element analysis model and the experiment, the mathematical model of gear pairs with flexible rings is confirmed. Full article
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20 pages, 8250 KiB  
Article
Vibration Characteristics of the Dual Electric Propulsion System of Vessels under Electromechanical Coupling Excitation
by Lin Han, Dianrui Wang, Fuchun Yang and Weikai He
Machines 2022, 10(6), 449; https://doi.org/10.3390/machines10060449 - 06 Jun 2022
Cited by 5 | Viewed by 1539
Abstract
An electromechanical coupling driving system is a commonly used system for large overloading ships. In this paper, a dual input electromechanical coupling model, including an inverter power supply, three-phase induction motor, fixed-axis gear, and load, is established. The influences of the gear error, [...] Read more.
An electromechanical coupling driving system is a commonly used system for large overloading ships. In this paper, a dual input electromechanical coupling model, including an inverter power supply, three-phase induction motor, fixed-axis gear, and load, is established. The influences of the gear error, inverter, and coupling stiffness on the vibration characteristics of the system are studied, and the influences of each parameter on the vibration characteristics are analyzed. The inverter power supply part considers the constant voltage–frequency ratio control and sinusoidal pulse width modulation, as well as the inverter. The motor part uses the dynamic motor model based on the equivalent circuit. The fixed-axis gear section uses a translation–torsion model with time-varying mesh stiffness and damping. The mechanical part and the motor part are coupled with the load torque of the motor. The results show that the greater the error of the gear, the greater the vibration of the system, and the rotation frequency error is the main factor. Secondly, by comparing the influence of error value and accuracy difference on vibration, we found that when an accuracy difference exists, the dominant factor of system vibration is the accuracy difference. Thirdly, the use of an inverter also increases the vibration of the electromechanical coupling system. Finally, we found that the lower stiffness of the elastic coupling reduced the vibration of the system. Full article
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19 pages, 6630 KiB  
Article
A Compound Control Method Based on the Adaptive Linear Extended State Observer and Global Fast Terminal Sliding Mode Control for Inertially Stabilized Platform
by Fa Fu, Xusheng Lei and Rui Wang
Machines 2022, 10(6), 426; https://doi.org/10.3390/machines10060426 - 26 May 2022
Cited by 3 | Viewed by 1740
Abstract
To realize high-performance control for the inertially stabilized platform, a compound control method based on the adaptive linear extended state observer and global fast terminal sliding mode control is proposed. For estimating the unknown disturbances of inertially stabilized platform, an adaptive linear extended [...] Read more.
To realize high-performance control for the inertially stabilized platform, a compound control method based on the adaptive linear extended state observer and global fast terminal sliding mode control is proposed. For estimating the unknown disturbances of inertially stabilized platform, an adaptive linear extended state observer was developed. With the full use of the information of attitude and angular velocity, the adaptive bandwidth of an adaptive linear extended state observer can deal with the peaking phenomenon without introducing excessive noise. Furthermore, the adaptation law based on the global fast terminal sliding mode control for disturbance estimation compensation was developed, which can improve the disturbance estimation accuracy of the adaptive linear extended state observer, and the higher order terminal function in global fast terminal sliding mode control was replaced by the lumped disturbance estimation of adaptive linear extended state observer, which can improve the anti-interference ability of inertially stabilized platform, reduce the chattering problem, and improve the control performance. The asymptotic stability of the proposed control method has been proven by the Lyapunov stability theory. The effectiveness of the proposed method was validated by a series of simulations and experiments. Full article
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33 pages, 20901 KiB  
Article
Control and Dynamic Characteristics Analysis for the Double-Compound Axial Piston Pump Based on Working Conditions
by Zhiyuan Sun, Qingliang Zeng, Lirong Wan and Hanzheng Dai
Machines 2022, 10(6), 411; https://doi.org/10.3390/machines10060411 - 25 May 2022
Cited by 4 | Viewed by 1921
Abstract
The periodic flow and pressure pulsation of the axial piston pump can lead to periodic vibration, noise, and even damage to various components in the hydraulic system. Therefore, the dynamic characteristics analysis of the axial piston pump in the hydraulic system is of [...] Read more.
The periodic flow and pressure pulsation of the axial piston pump can lead to periodic vibration, noise, and even damage to various components in the hydraulic system. Therefore, the dynamic characteristics analysis of the axial piston pump in the hydraulic system is of great significance for reducing vibration and noise in the hydraulic system and improving efficiency. The double-compound axial piston pump is the key component of a high power and large flow hydraulic power system, which has a special power control mode. In this paper, the working and control principles of the double-compound axial piston pump are analyzed, the numerical model of the double-compound axial piston pump is established, and the effectiveness of the model is verified through experimental tests. The constant power control characteristics of the double-compound axial piston pump under different power settings and the variable power control characteristics under the rated load pressure are analyzed. By analyzing the dynamic characteristics of the double-compound axial piston pump, the influence of different working conditions on the dynamic characteristics is investigated. The results show that the output efficiency of the double-compound axial piston pump is higher when the output flow is larger. When the piston chamber works in the closed pre-compression pressure zone and the closed pre-release pressure zone, oil backflow occurs. The oil backflow in the piston chamber seriously intensifies the outlet flow pulsation of the double-compound axial piston pump. The flow pulsation rate is positively correlated with load pressure and power control pilot pressure, while negatively correlated with spindle speed. The paper provides a basis for the analysis and optimization of power control, flow pulsation, fluid vibration, and noise of the double-compound axial piston pump. Full article
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11 pages, 7136 KiB  
Article
Method and Test Bench for Hydro-Mechanical Continuously Variable Transmission Based on Multi-Level Test and Verification
by Hanzheng Dai, Lirong Wan, Qingliang Zeng, Zhenguo Lu, Zhiyuan Sun and Wenting Liu
Machines 2021, 9(12), 358; https://doi.org/10.3390/machines9120358 - 16 Dec 2021
Cited by 1 | Viewed by 2335
Abstract
According to the structural characteristics of Hydro-mechanical continuously variable transmission (HMCVT), a multi-functional test bench was developed, and the basic structure, working principle, and test functions of the test bench were introduced. The test bench has the following characteristics: To analyze the impact [...] Read more.
According to the structural characteristics of Hydro-mechanical continuously variable transmission (HMCVT), a multi-functional test bench was developed, and the basic structure, working principle, and test functions of the test bench were introduced. The test bench has the following characteristics: To analyze the impact of mechanical transmission and hydraulic transmission on the HMCVT transmission system, the performance can be tested separately by using a test bench; the coupling characteristics of the hydraulic transmission and mechanical transmission can also be tested; it can also test and verify the performance of the HMCVT transmission system and the control system; the test bench has a simple structure, diverse functions, and convenient operation. Using the multi-functional test bench, this paper proposes a method of multi-level test and verification. Through this method, the simulation models are revised and improved many times, and the accuracy of the models is improved, which are consistent with the physical model, and eventually, the accuracy of the simulation result is improved. This method is used to test and verify the hydraulic transmission system, analyze the characteristics of the hydraulic transmission system, and verify the feasibility and practicability of the multi-level verification method. Full article
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