{"title":"磁悬浮隔振系统隔振效果的研究","authors":"Hanxuan Wang, Kaiping Yu, Rui Zhao, Minqiang Xu","doi":"10.1016/j.cnsns.2025.109089","DOIUrl":null,"url":null,"abstract":"<div><div>This paper proposes a frictionless stiffness-adjustable magnetic suspension vibration isolator (MSVI). By utilizing the displacement of an <span>l</span>-shaped armature connected to the bearing platform to adjust air gap dimensions between upper and lower electromagnets, the device constructs a controllable electromagnetic force differential to generate negative stiffness characteristics, effectively resolving the long-standing technical dilemma in conventional vibration isolation systems where load-bearing capacity conflicts with isolation performance. Through an integrated methodology combining theoretical modeling, numerical simulation, and experimental validation, the research first establishes and analytically solves the system's dynamic control equations, accompanied by stability analysis and numerical verification. Parametric studies subsequently reveal the influence patterns of critical factors on isolation performance. The experimentally validated static electromagnetic force model demonstrates excellent fitting accuracy with theoretical predictions. Frequency sweep tests (0–15 Hz) on a single-layer isolation platform confirm MSVI's isolation capabilities. Results indicate that while enhancing isolation performance, the MSVI system amplifies vibration amplitudes and induces soft spring characteristics, manifesting as leftward bending of frequency response curves and unstable intervals. Experimental data show a 1.91 Hz reduction in initial isolation frequency (to 10.83 Hz) and a 43.07 % decrease in peak transmissibility (to 10.89 dB), verifying current regulation's optimization effects. This solution provides a novel technical pathway to overcome the \"stability-isolation performance\" trade-off in nonlinear vibration isolation systems. The established theoretical models and experimental findings hold significant engineering value for precision instrument isolation and spacecraft payload protection applications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109089"},"PeriodicalIF":3.8000,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Design and experimental study of quasi-zero stiffness vibration isolator based on electromagnetic attraction type\",\"authors\":\"Hanxuan Wang, Kaiping Yu, Rui Zhao, Minqiang Xu\",\"doi\":\"10.1016/j.cnsns.2025.109089\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper proposes a frictionless stiffness-adjustable magnetic suspension vibration isolator (MSVI). By utilizing the displacement of an <span>l</span>-shaped armature connected to the bearing platform to adjust air gap dimensions between upper and lower electromagnets, the device constructs a controllable electromagnetic force differential to generate negative stiffness characteristics, effectively resolving the long-standing technical dilemma in conventional vibration isolation systems where load-bearing capacity conflicts with isolation performance. Through an integrated methodology combining theoretical modeling, numerical simulation, and experimental validation, the research first establishes and analytically solves the system's dynamic control equations, accompanied by stability analysis and numerical verification. Parametric studies subsequently reveal the influence patterns of critical factors on isolation performance. The experimentally validated static electromagnetic force model demonstrates excellent fitting accuracy with theoretical predictions. Frequency sweep tests (0–15 Hz) on a single-layer isolation platform confirm MSVI's isolation capabilities. Results indicate that while enhancing isolation performance, the MSVI system amplifies vibration amplitudes and induces soft spring characteristics, manifesting as leftward bending of frequency response curves and unstable intervals. Experimental data show a 1.91 Hz reduction in initial isolation frequency (to 10.83 Hz) and a 43.07 % decrease in peak transmissibility (to 10.89 dB), verifying current regulation's optimization effects. This solution provides a novel technical pathway to overcome the \\\"stability-isolation performance\\\" trade-off in nonlinear vibration isolation systems. The established theoretical models and experimental findings hold significant engineering value for precision instrument isolation and spacecraft payload protection applications.</div></div>\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":\"152 \",\"pages\":\"Article 109089\"},\"PeriodicalIF\":3.8000,\"publicationDate\":\"2025-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Nonlinear Science and Numerical Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1007570425005003\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425005003","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Design and experimental study of quasi-zero stiffness vibration isolator based on electromagnetic attraction type
This paper proposes a frictionless stiffness-adjustable magnetic suspension vibration isolator (MSVI). By utilizing the displacement of an l-shaped armature connected to the bearing platform to adjust air gap dimensions between upper and lower electromagnets, the device constructs a controllable electromagnetic force differential to generate negative stiffness characteristics, effectively resolving the long-standing technical dilemma in conventional vibration isolation systems where load-bearing capacity conflicts with isolation performance. Through an integrated methodology combining theoretical modeling, numerical simulation, and experimental validation, the research first establishes and analytically solves the system's dynamic control equations, accompanied by stability analysis and numerical verification. Parametric studies subsequently reveal the influence patterns of critical factors on isolation performance. The experimentally validated static electromagnetic force model demonstrates excellent fitting accuracy with theoretical predictions. Frequency sweep tests (0–15 Hz) on a single-layer isolation platform confirm MSVI's isolation capabilities. Results indicate that while enhancing isolation performance, the MSVI system amplifies vibration amplitudes and induces soft spring characteristics, manifesting as leftward bending of frequency response curves and unstable intervals. Experimental data show a 1.91 Hz reduction in initial isolation frequency (to 10.83 Hz) and a 43.07 % decrease in peak transmissibility (to 10.89 dB), verifying current regulation's optimization effects. This solution provides a novel technical pathway to overcome the "stability-isolation performance" trade-off in nonlinear vibration isolation systems. The established theoretical models and experimental findings hold significant engineering value for precision instrument isolation and spacecraft payload protection applications.
期刊介绍:
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.