Peng Chen , Ji-Hou Yang , Ying-Jing Qian , Xiang-Ying Guo , Xiao-Dong Yang
{"title":"磁增强弹簧拉杆双稳态非线性能量汇的非线性动力学分析与设计","authors":"Peng Chen , Ji-Hou Yang , Ying-Jing Qian , Xiang-Ying Guo , Xiao-Dong Yang","doi":"10.1016/j.ymssp.2025.113429","DOIUrl":null,"url":null,"abstract":"<div><div>Although bistable NES (BNES) outperforms traditional monostable NES in terms of energy threshold, it exhibits larger oscillation amplitudes. Excessive oscillation not only affects stability but also interferes with the linear oscillator (LO). To effectively limit its own oscillations while enhancing vibration suppression for the LO and improving its dynamic characteristics, this study proposes a magnet-enhanced spring-tie rods BNES (MBNES). First, the magnetic force exerted by the permanent magnet and the nonlinear restoring force of the spring-tie rods are calculated, and the dynamical equation for the coupled MBNES-LO system is established. Using complex-variable averaging and multiscale analysis, the system’s slow invariant manifold (SIM) is derived. Building on this, the system’s dynamic behavior and vibration suppression performance are further examined using various techniques, including time displacement responses, phase diagrams, SIM, wavelet transforms, amplitude-frequency response curves, and energy dissipation rates. These analyses aim to evaluate whether the proposed model enhances the performance of traditional BNES while investigating the effects of parameters such as external excitation amplitude, stiffness, damping, and others. Lastly, a physical prototype is constructed, and experimental validation is performed to assess its effectiveness. The results show that the nonlinear magnetic force effectively reduces the vibration of BNES, improves the suppression of the maximum LO amplitude, and lowers the energy threshold, facilitating the occurrence of strongly modulated response (SMR). In conclusion, the MBNES introduced in this study presents a dependable and efficient vibration reduction strategy, providing valuable insights for the design of NES in engineering applications.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"240 ","pages":"Article 113429"},"PeriodicalIF":8.9000,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear dynamics analysis and design of bistable nonlinear energy sinks of magnet-enhanced spring-tie rods\",\"authors\":\"Peng Chen , Ji-Hou Yang , Ying-Jing Qian , Xiang-Ying Guo , Xiao-Dong Yang\",\"doi\":\"10.1016/j.ymssp.2025.113429\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Although bistable NES (BNES) outperforms traditional monostable NES in terms of energy threshold, it exhibits larger oscillation amplitudes. Excessive oscillation not only affects stability but also interferes with the linear oscillator (LO). To effectively limit its own oscillations while enhancing vibration suppression for the LO and improving its dynamic characteristics, this study proposes a magnet-enhanced spring-tie rods BNES (MBNES). First, the magnetic force exerted by the permanent magnet and the nonlinear restoring force of the spring-tie rods are calculated, and the dynamical equation for the coupled MBNES-LO system is established. Using complex-variable averaging and multiscale analysis, the system’s slow invariant manifold (SIM) is derived. Building on this, the system’s dynamic behavior and vibration suppression performance are further examined using various techniques, including time displacement responses, phase diagrams, SIM, wavelet transforms, amplitude-frequency response curves, and energy dissipation rates. These analyses aim to evaluate whether the proposed model enhances the performance of traditional BNES while investigating the effects of parameters such as external excitation amplitude, stiffness, damping, and others. Lastly, a physical prototype is constructed, and experimental validation is performed to assess its effectiveness. The results show that the nonlinear magnetic force effectively reduces the vibration of BNES, improves the suppression of the maximum LO amplitude, and lowers the energy threshold, facilitating the occurrence of strongly modulated response (SMR). In conclusion, the MBNES introduced in this study presents a dependable and efficient vibration reduction strategy, providing valuable insights for the design of NES in engineering applications.</div></div>\",\"PeriodicalId\":51124,\"journal\":{\"name\":\"Mechanical Systems and Signal Processing\",\"volume\":\"240 \",\"pages\":\"Article 113429\"},\"PeriodicalIF\":8.9000,\"publicationDate\":\"2025-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanical Systems and Signal Processing\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0888327025011306\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanical Systems and Signal Processing","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0888327025011306","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Nonlinear dynamics analysis and design of bistable nonlinear energy sinks of magnet-enhanced spring-tie rods
Although bistable NES (BNES) outperforms traditional monostable NES in terms of energy threshold, it exhibits larger oscillation amplitudes. Excessive oscillation not only affects stability but also interferes with the linear oscillator (LO). To effectively limit its own oscillations while enhancing vibration suppression for the LO and improving its dynamic characteristics, this study proposes a magnet-enhanced spring-tie rods BNES (MBNES). First, the magnetic force exerted by the permanent magnet and the nonlinear restoring force of the spring-tie rods are calculated, and the dynamical equation for the coupled MBNES-LO system is established. Using complex-variable averaging and multiscale analysis, the system’s slow invariant manifold (SIM) is derived. Building on this, the system’s dynamic behavior and vibration suppression performance are further examined using various techniques, including time displacement responses, phase diagrams, SIM, wavelet transforms, amplitude-frequency response curves, and energy dissipation rates. These analyses aim to evaluate whether the proposed model enhances the performance of traditional BNES while investigating the effects of parameters such as external excitation amplitude, stiffness, damping, and others. Lastly, a physical prototype is constructed, and experimental validation is performed to assess its effectiveness. The results show that the nonlinear magnetic force effectively reduces the vibration of BNES, improves the suppression of the maximum LO amplitude, and lowers the energy threshold, facilitating the occurrence of strongly modulated response (SMR). In conclusion, the MBNES introduced in this study presents a dependable and efficient vibration reduction strategy, providing valuable insights for the design of NES in engineering applications.
期刊介绍:
Journal Name: Mechanical Systems and Signal Processing (MSSP)
Interdisciplinary Focus:
Mechanical, Aerospace, and Civil Engineering
Purpose:Reporting scientific advancements of the highest quality
Arising from new techniques in sensing, instrumentation, signal processing, modelling, and control of dynamic systems