Nonlinear Vibration and Mechanical Dynamic Optimization Design in Engineering

A special issue of Processes (ISSN 2227-9717). This special issue belongs to the section "Process Control and Monitoring".

Deadline for manuscript submissions: closed (30 November 2023) | Viewed by 5238

Special Issue Editors


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Guest Editor
School of Science, Nanjing University of Science and Technology, Nanjing 210094, China
Interests: nonlinear dynamic modeling; vibration control; elastic metamaterials

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Guest Editor
Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China
Interests: nonlinear vibration; vibration control; energy harvesting

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Guest Editor Assistant
Department of Electronic and Electrical Engineering, Southern Unviersity of Science and Technology, Shenzhen 518055, China
Interests: mechanical metamaterials; elastic topological metamaterials; acoustic topological insulators

Special Issue Information

Dear Colleagues,

Nonlinear vibrations and waves are prevalent in mechanical, civil, aerospace, and other engineering fields, giving rise to complex and intriguing dynamic phenomena such as bifurcation, chaos, and diverse higher harmonic resonances. While engineering nonlinear vibrations or waves may lead to unfavorable consequences, they can also occasionally bring about beneficial effects that linear vibrations systems can never achieve. Consequently, there is a pressing need for extensive research into nonlinear vibrations and waves, and optimization for mitigating their adverse effects and harnessing their favorable aspects.

This Special Issue aims to report state-of-the-art developments in the field of nonlinear vibrations and waves, and mechanical dynamic optimization design. Original research and review articles related to the following topics are welcomed; however, please note that this list is by no means exhaustive:

  • Nonlinear dynamics and motion stability;
  • High-dimensional and complex nonlinear system;
  • Nonlinear vibration control;
  • Nonlinear vibration energy harvesting;
  • Nonlinear waves propagation;
  • Chaos and bifurcation;
  • Dynamical design and inverse problem.

Prof. Dr. Ying Wu
Prof. Dr. Chaoran Liu
Guest Editors

Dr. Linyun Yang
Guest Editor Assistant

Manuscript Submission Information

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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

  • nonlinear vibration
  • optimization
  • vibration control
  • vibration energy harvesting
  • nonlinear dynamics
  • chaos
  • bifurcation
  • nonlinear waves
  • elastic metamaterials

Published Papers (6 papers)

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Research

17 pages, 9216 KiB  
Article
Investigation of Pressure Variations in Hose Pumps under Different Flow Regimes Using Bidirectional Fluid–Structure Interaction
by Mengfan Wang, Lixin Zhang, Wendong Wang, Xiao Ma, Xue Hu, Jiawei Zhao and Xuewei Chao
Processes 2023, 11(11), 3079; https://doi.org/10.3390/pr11113079 - 26 Oct 2023
Viewed by 809
Abstract
Hose pumps, renowned for their ability to efficiently transport highly viscous and corrosive fluids, hold an irreplaceable position in numerous engineering domains. With a wide range of fluid types being transported by hose pumps, the study of pressure variations during the conveyance of [...] Read more.
Hose pumps, renowned for their ability to efficiently transport highly viscous and corrosive fluids, hold an irreplaceable position in numerous engineering domains. With a wide range of fluid types being transported by hose pumps, the study of pressure variations during the conveyance of different fluid states is of paramount importance, as it positively contributes to optimizing hose pump structures, reducing noise, and enhancing hose pump longevity. To investigate pressure variations in hose pumps during the conveyance of varying fluid states, this paper employs a bidirectional fluid–structure coupling method and utilizes commercial finite element software, ANSYS. The research validates the causes of variations in hose pumps during fluid conveyance and examines the overall pressure distribution within the fluid domain of hose pumps conveying different fluid states at varying rotor speeds. The results indicate that when the fluid within the hose pump is in a turbulent state, pressure variations exhibit multiple minor amplitude oscillations, whereas in a laminar state, pressure variations display fewer oscillations but with more significant amplitudes. Moreover, higher rotor speeds exacerbate pressure variations. Recommendations include optimizing the shape of the squeezing roller and enhancing pressure variation control through shell angle optimization. Full article
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12 pages, 2825 KiB  
Article
A Topological Valley Stamping Plate for Low-Frequency-Vibration Isolation and Wave Manipulation in Helicopters
by Xiong Wang, Changliang Lin, Wei Liu, Jinliang Wang and Wenjie Wang
Processes 2023, 11(10), 2941; https://doi.org/10.3390/pr11102941 - 10 Oct 2023
Viewed by 799
Abstract
Vibration isolation and wave manipulation play a significant role in helicopter applications, from small elastic devices for information processing to large solid structures for vibration control. The emergence of topological elastic metamaterials has opened up new possibilities for modulating vibrations and waves in [...] Read more.
Vibration isolation and wave manipulation play a significant role in helicopter applications, from small elastic devices for information processing to large solid structures for vibration control. The emergence of topological elastic metamaterials has opened up new possibilities for modulating vibrations and waves in solids. However, most designs are limited to laboratory settings due to complex manufacturing or low structural strength. In this study, we propose a topological elastic metamaterial with a stamping triangle whose orientation θ can be rotated to achieve topological phase transitions between −30° and 30°. Unlike traditional manufacturing methods, the utilization of stamping technology provides a cost-effective means of production, allowing for wider application across diverse industries. Moreover, the metamaterial has the capability to manipulate elastic waves along specific trajectories and effectively decrease common vibrations (more than 50 dB), typically occurring at a frequency of 24 Hz in helicopters. Our approach also enables the control of elastic wave propagation along interfaces through the emergence of topological edge states. The practical implementation of this design will enhance the confidence in using topological elastic metamaterials for vibration isolation and wave manipulation in helicopters. Full article
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16 pages, 8640 KiB  
Article
Dynamic and Thermal Buckling Behaviors of Multi-Span Honeycomb Sandwich Panel with Arbitrary Boundaries
by Min Wang, Junfu Gao, Lun Liu, Lixia Liu, Shupeng Sun and Leilei Zeng
Processes 2023, 11(10), 2880; https://doi.org/10.3390/pr11102880 - 29 Sep 2023
Viewed by 578
Abstract
The dynamic characteristics and thermal buckling behaviors of a multi-span honeycomb sandwich panel with arbitrary boundaries are studied comprehensively in this paper. The concept of artificial springs is proposed and it was found that arbitrary boundaries can be achieved by adjusting the stiffness [...] Read more.
The dynamic characteristics and thermal buckling behaviors of a multi-span honeycomb sandwich panel with arbitrary boundaries are studied comprehensively in this paper. The concept of artificial springs is proposed and it was found that arbitrary boundaries can be achieved by adjusting the stiffness of artificial springs. The hinges which connect the base plates of this structure are simulated by massless torsion springs. The displacement field of the panel is expressed as a series of admissible functions which is a set of characteristic orthogonal polynomials generated directly by employing the Gram–Schmidt process. The stresses induced by the temperature change in the multi-span panel are considered, and then the eigenvalue equations of free vibration and thermal buckling are derived by using the Rayleigh–Ritz method. The theoretical formulations of the present research are validated by comparing the results of this paper with those obtained from the available literature and ABAQUS software. Subsequently, the influences of structural parameters on the critical buckling temperature and natural frequencies are investigated comprehensively, and some useful conclusions about dynamic optimization design for multi-span honeycomb sandwich panels are drawn from the present study. Full article
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25 pages, 7931 KiB  
Article
An Integrated Control Approach for Shifting Process of Single-Axis Parallel Hybrid Electric Vehicle with a Multi-Speed AMT Gearbox
by Cheng Huang and Changqing Du
Processes 2023, 11(9), 2710; https://doi.org/10.3390/pr11092710 - 11 Sep 2023
Viewed by 791
Abstract
When a single-axis parallel hybrid electric vehicle (HEV) equipped with a multi-speed AMT gearbox is in its shifting process, the superposition of dynamic characteristics of multiple power sources and the intervention and withdrawal of AMT transmissions can easily cause significant vehicle longitudinal jerk. [...] Read more.
When a single-axis parallel hybrid electric vehicle (HEV) equipped with a multi-speed AMT gearbox is in its shifting process, the superposition of dynamic characteristics of multiple power sources and the intervention and withdrawal of AMT transmissions can easily cause significant vehicle longitudinal jerk. To achieve rapid and smooth output changes during the shifting process, this paper proposes an integrated multi-stage robust shifting control method for a single-axis parallel hybrid electric vehicles with a multi-speed AMT gearbox. First, models of key driveline components are constructed, and the shifting process is divided into five stages to provide a clear description of the control problem. Subsequently, we reproduce an integrated multistage robust control method to achieve favorable switching performance and control robustness under external disturbances. We propose a data-driven model predictive control strategy based on additional constraints in the torque unloading and recovery phases. Simultaneously, we present a joint control algorithm that integrates the optimal control and disturbance suppression in the speed synchronization phase. In addition, we develop a sliding mode auto-disturbance rejection control algorithm to achieve accurate position tracking of the shift actuator in the pickup and engage phases. Finally, simulations and bench tests are carried out to verify the effectiveness of the robust control method under different driving conditions. The results demonstrate that the proposed control method can not only coordinate the torque across different power sources and clutch while minimizing vehicle longitudinal jerk, shift time, and friction work, but also provides apparent robustness to model uncertainties and external disturbance. Therefore, the proposed method may offer a theoretical reference for the actual vehicle controller during shifting. Full article
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17 pages, 2036 KiB  
Article
Adomian Decomposition, Firing Change Process Analysis and Synchronous Control of Fractional-Order Hindmarsh–Rose Neurons in Electromagnetic Field
by Tengfei Lei, Haiyan Fu, Hongyan Zang, Lili Huang and Wenqiang Sun
Processes 2023, 11(9), 2568; https://doi.org/10.3390/pr11092568 - 27 Aug 2023
Cited by 3 | Viewed by 772
Abstract
In this paper, based on integer-order Hindmarsh–Rose (HR) neurons under an electric field, the fractional-order model is constructed, and the nonlinear term is decomposed by the Adomian decomposition method, and the numerical solution of the system is obtained. The firing behavior of the [...] Read more.
In this paper, based on integer-order Hindmarsh–Rose (HR) neurons under an electric field, the fractional-order model is constructed, and the nonlinear term is decomposed by the Adomian decomposition method, and the numerical solution of the system is obtained. The firing behavior of the neuron model is analyzed by using a phase diagram, interspike interval (ISI) bifurcation diagram, sample entropy (SE) complexity, and largest Lyapunov exponent (LLE). Based on the sliding mode control theory, a chaos synchronization controller of the system is designed. Matlab simulation results show that the controller is realizable and effective, and also has the characteristic of fast response, which provides a reference for the control and application of a memristor neural network system. Full article
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19 pages, 2429 KiB  
Article
Stability Analysis and Nonlinear Chatter Prediction for Grinding a Slender Cylindrical Part
by Tianyi Sun and Yao Yan
Processes 2023, 11(7), 1967; https://doi.org/10.3390/pr11071967 - 29 Jun 2023
Viewed by 824
Abstract
A cylindrical plunge grinding process was modeled to investigate nonlinear regenerative chatter vibration. The rotating workpiece was a slender Euler–Bernoulli beam, and the grinding wheel was a rigid body moving towards the workpiece at a very low feed speed. A numerical method was [...] Read more.
A cylindrical plunge grinding process was modeled to investigate nonlinear regenerative chatter vibration. The rotating workpiece was a slender Euler–Bernoulli beam, and the grinding wheel was a rigid body moving towards the workpiece at a very low feed speed. A numerical method was proposed to provide the critical boundaries for chatter-free grinding. It was demonstrated that the intersection set surrounded by these critical boundaries was the chatter-free region for the considered parameters. When these parameters were outside of the chatter-free region, the stable grinding process underwent a supercritical Hopf bifurcation, resulting in the loss of the chatter-free behavior and the emergence of periodic chatter motions. Then, the periodic motions of both the grinding wheel and the workpiece were predicted analytically using the method of multiple scales, showing the effect of the regenerative force on the grinding process. We demonstrated that the analytical prediction was valid since it agreed with the numerical simulation. The results showed that there exist three kinds of nonlinear chatter motion, with different amplitudes and mode frequencies. Full article
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