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Recent Advances in Nonlinear Dynamics Applied in Electromechanical Systems
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Recent Advances in Nonlinear Dynamics Applied in Electromechanical Systems

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Electrical, Electronics and Communications Engineering".

Deadline for manuscript submissions: 20 August 2025 | Viewed by 4562

Special Issue Editors

Dr. Yeyin Xu

E-Mail Website
Guest Editor
School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Interests: vibration; nonlinear dynamics; rotor dynamics
Prof. Dr. Zhaobo Chen

E-Mail Website
Guest Editor
School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
Interests: rotor dynamics; control; mechanical dynamics; vibration
Prof. Dr. Yinghou Jiao

E-Mail Website
Guest Editor
Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
Interests: rotor dynamics; mechanical dynamics; vibration

Special Issue Information

Dear Colleagues,

With industry development towards high output power, intelligence, and low energy consumption, the design of electromechanical systems is becoming increasingly complex, which inevitably leads to nonlinearity and instability of the system. An electromechanical system is a typical nonlinearity-involved system. The recent advances in design and control are to improve dynamic performance, steady-state stability, and anti-interference ability to meet modern industry upgrading requirements. In recent years, with the increasing complexity of application scenarios, one has higher anticipation for the nonlinear dynamic performance, intelligence, and automation of electromechanical systems, which also brings new challenges to the research, design, and control of electromechanical systems. Therefore, how to combine nonlinear dynamics, artificial intelligence, and automation with the research, design, and control of the electromechanical system has become a hot issue. The advanced control and analysis methods contribute to developing and improving nonlinear electromechanical systems with high stability and performance. Therefore this topic is aimed to gather the recent advances on nonlinear dynamics and control of electromechanical systems to provide new perspectives to the research and design of the products. The main topics of such Special Issues include, but are not limited to:

  • Intelligent control of electromechanical systems;
  • Data-driven electromechanical control system;
  • Electromechanical control system based on reinforcement learning;
  • Dynamic Modeling for complex nonlinear systems;
  • Advanced analysis or computing methods in dynamic systems;
  • Stability control methods for strong nonlinear systems;
  • Nonlinear analysis of the electromechanical systems;
  • Stability, bifurcation theory for the electromechanical systems

Dr. Yeyin Xu
Prof. Dr. Zhaobo Chen
Prof. Dr. Yinghou Jiao
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • dynamics
  • vibrations
  • electromechanical systems
  • intelligent control
  • data-driven
  • system modeling
  • computing method

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Published Papers (5 papers)

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Research

16 pages, 14973 KiB  
Article
Design and Control of an Active–Passive Integrated Six-Dimensional Orthogonal Vibration Isolation Platform
by Yang Zhang, Tianyou Zheng, Zhe Zhou and Weiwei Fu
Appl. Sci. 2025, 15(7), 3437; https://doi.org/10.3390/app15073437 - 21 Mar 2025
Viewed by 261
Abstract
The inevitable vibration caused by the normal operation of the spacecraft in orbit will interfere with sensitive instruments, such as space telescopes, reconnaissance cameras, and spatial interferometers. Severe vibrations can impact the accuracy and reliability of these sensitive instruments, potentially leading to mission [...] Read more.
The inevitable vibration caused by the normal operation of the spacecraft in orbit will interfere with sensitive instruments, such as space telescopes, reconnaissance cameras, and spatial interferometers. Severe vibrations can impact the accuracy and reliability of these sensitive instruments, potentially leading to mission failure. To address this issue, active–passive integrated six-dimensional orthogonal vibration isolation (APIVI) platform has been proposed for vibration isolation in spaceborne sensitive instruments. The APIVI platform is composed of three orthogonal isolation modules, each made up of an active piezoelectric actuator and passive rubber isolator. Taking into account the parameter uncertainties of the actual system, the H∞ controller was designed, and the μ-synthesis method was proposed to establish a parameter uncertainty model for the APIVI platform. Finally, experimental studies were conducted on the APIVI platform. The results demonstrated the excellent vibration isolation performance of the APIVI platform, with the vibration isolation frequency band above 18 Hz. With the addition of active control, it was able to fully attenuate the first-order resonance peak of the system, with a maximum attenuation of 18 dB. Full article
(This article belongs to the Special Issue Recent Advances in Nonlinear Dynamics Applied in Electromechanical Systems)
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14 pages, 3251 KiB  
Article
Complex Periodic Motions and Bifurcations of a Forced Duffing Oscillator with Its Field-Programmable Gate Arrays Implementation
by Yan Liu, Zehua Yang, Taokai Mao and Wencheng Li
Appl. Sci. 2024, 14(23), 11243; https://doi.org/10.3390/app142311243 - 2 Dec 2024
Viewed by 939
Abstract
The dynamical behavior of a Duffing oscillator under periodic excitation is investigated using semi-analytical methods. Bifurcation trees with varying periodic excitation are constructed. The stability, saddle-node bifurcation and period-doubling bifurcation are revealed by assessing the eigenvalue of the model. From the bifurcation trees, [...] Read more.
The dynamical behavior of a Duffing oscillator under periodic excitation is investigated using semi-analytical methods. Bifurcation trees with varying periodic excitation are constructed. The stability, saddle-node bifurcation and period-doubling bifurcation are revealed by assessing the eigenvalue of the model. From the bifurcation trees, we observed that saddle-node and period-doubling bifurcations occur when the excitation frequency and excitation amplitude vary to an appropriate value. The generation of periodic-doubling bifurcation leads to a change in the periodicity of periodic motion. The relationships among periodic-m motions are interconnected yet independent of each other. To satisfy the need of parameter selection for FPGA circuits, a dual-parameter map is calculated to study the periodic characteristics. Then, an FPGA circuit model is designed and implemented. The results show that the phase trajectory and waveform of the FPGA hardware circuit match the numerical model. Full article
(This article belongs to the Special Issue Recent Advances in Nonlinear Dynamics Applied in Electromechanical Systems)
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18 pages, 5952 KiB  
Article
Steady-State Response Analysis of an Uncertain Rotor Based on Chebyshev Orthogonal Polynomials
by Bensheng Xu, Peijie Ning, Guang Wang and Chaoping Zang
Appl. Sci. 2024, 14(22), 10698; https://doi.org/10.3390/app142210698 - 19 Nov 2024
Viewed by 772
Abstract
The performance of a rotor system is influenced by various design parameters that are neither precise nor constant. Uncertainties in rotor operation arise from factors such as assembly errors, material defects, and wear. To obtain more reliable analytical results, it is essential to [...] Read more.
The performance of a rotor system is influenced by various design parameters that are neither precise nor constant. Uncertainties in rotor operation arise from factors such as assembly errors, material defects, and wear. To obtain more reliable analytical results, it is essential to consider these uncertainties when evaluating rotor performance. In this paper, the Chebyshev interval method is employed to quantify the uncertainty in the steady-state response of the rotor system. To address the challenges of high-dimensional integration, an innovative sparse-grid integration method is introduced and demonstrated using a rotor tester. The effects of support stiffness, mass imbalance, and uncertainties in the installation phase angle on the steady-state response of the rotor system are analyzed individually, along with a comprehensive assessment of their combined effects. When compared to the Monte Carlo simulation (MCS) method and the full tensor product grid (FTG) method, the proposed method requires only 68% of the computational cost associated with MCS, while maintaining calculation accuracy. Additionally, sparse-grid integration reduces the computational cost by approximately 95.87% compared to the FTG method. Full article
(This article belongs to the Special Issue Recent Advances in Nonlinear Dynamics Applied in Electromechanical Systems)
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19 pages, 11162 KiB  
Article
Intelligent Diagnosis of Bearing Failures Based on Recurrence Quantification and Energy Difference
by Mukai Wang, Tianfeng Wang, Duhui Lu and Shuhui Cui
Appl. Sci. 2024, 14(21), 9643; https://doi.org/10.3390/app14219643 - 22 Oct 2024
Viewed by 809
Abstract
Bearing health is key for maintaining good performance and safety in rotating machinery. As the diagnosis of mechanical faults develops toward intelligence and automation, accurate and systematic fault diagnosis algorithms are imperative. Focusing on the diagnosis of rolling bearing failures, this study utilizes [...] Read more.
Bearing health is key for maintaining good performance and safety in rotating machinery. As the diagnosis of mechanical faults develops toward intelligence and automation, accurate and systematic fault diagnosis algorithms are imperative. Focusing on the diagnosis of rolling bearing failures, this study utilizes a sliding time window to extract essential data segments. A series of signal processing techniques, including filtering, amplitude–frequency analysis, Hilbert envelope analysis, and energy analysis, is applied to establish a comprehensive dataset. For extraction of the hidden properties of the data, the recurrence quantity spectrum is defined for the input of the neural network. The goal is to obtain a cleaner dataset with enhanced features. A convolution neural network is constructed. Different activation functions in the activation layer are compared for better fault diagnosis algorithms. The established feature matrices are specifically defined to accurately identify the subtlest defects of bearings, thereby facilitating early detection. The proposed procedure distinguishes various fault modes. As for the multidimensional complexities of fault signals, this study carries out a comprehensive comparison of energies, recurrence quantification, and amplitude–frequency characteristics of bearing fault detection to assess the accuracy, computational efficiency, and robustness of bearing fault diagnosis. The proposed method and bearing fault detection procedures have potential in practical applications. Full article
(This article belongs to the Special Issue Recent Advances in Nonlinear Dynamics Applied in Electromechanical Systems)
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14 pages, 4518 KiB  
Article
Analytical Determination of Stick–Slip Whirling Vibrations and Bifurcations in Rotating Machinery
by Duhui Lu, Mukai Wang, Yeyin Xu, Xinya Wang and Shunzeng Wang
Appl. Sci. 2024, 14(16), 7338; https://doi.org/10.3390/app14167338 - 20 Aug 2024
Viewed by 1064
Abstract
In rotating machinery, aerodynamic forces and oil film forces often lead to cross-coupling stiffness. This paper is aimed at studying the stick-slip whirling vibrations induced by the piecewise smooth rotor/stator frictions in a modified flexible rotor subjected to cross-coupling stiffness. Governing equations determining [...] Read more.
In rotating machinery, aerodynamic forces and oil film forces often lead to cross-coupling stiffness. This paper is aimed at studying the stick-slip whirling vibrations induced by the piecewise smooth rotor/stator frictions in a modified flexible rotor subjected to cross-coupling stiffness. Governing equations determining the sliding region and boundaries of piecewise discontinuous friction are defined. This analytical study was conducted to discuss the complex vibrations and bifurcations. Various types of sliding motions (continuous pure rolling, continuous crossing, and grazing–sliding) were observed in this research. Further, as for discussing the impacts of the parameters on nonlinear sliding vibrations, a parametric study was conducted. The obtained results reveal that with an increase in the cross-coupling stiffness coefficient, continuous pure rolling occurs earlier, and the disk vibration time around the contact regime becomes shorter. For studying the self-excited backward whirling vibration of stick–slip nonlinear motions, analytical formulations are established. Detailed vibration amplitude and frequency studies of friction-induced backward whirling vibrations were carried out. Numerical simulations were performed to compare them with the analytical solutions and to validate the results as well. The proposed theory and results provide fresh perspectives for predicting friction-induced whirlings and creating proper designs for turbo machinery. Full article
(This article belongs to the Special Issue Recent Advances in Nonlinear Dynamics Applied in Electromechanical Systems)
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