含磁性非线性接地式负刚度动力吸振器理论分析及参数优化
Theoretical Modeling and Systematic Optimization of Magnetically Nonlinear Grounded Negative-Stiffness Dynamic Vibration Absorbers
DOI: 10.12677/dsc.2026.152018, PDF,    科研立项经费支持
作者: 冯文聪*, 赵艳影#：南昌航空大学航空宇航学院，江西 南昌
关键词: 磁性NES；增量谐波平衡法；振动控制；参数优化；Magnetically Enhanced NES； IHB； Active Vibration Suppression； Systematic Parameter Optimization
摘要: 本文提出了一种磁性非线性接地式负刚度动力吸振器模型，能够有效地抑制主系统振动。通过理论分析验证磁性装置的非线性特性。利用增量谐波平衡法(Incremental Harmonic Balance, IHB)和弧长法得到系统的幅频响应曲线，并通过数值模拟验证解析结果。分析了磁性非线性接地负刚度动力吸振器在不同非线性刚度、外激励和吸振器刚度下对主系统幅频响应的影响。数值仿真结果表明，当吸振器取合适参数时，能够有效地抑制主系统宽频范围内振动，同时可以降低突跳等不稳定的响应。通过数值解与线性负刚度动力吸振器对比，明显拓宽了减振频带，且在低频区域内具有更高的减振效率。
Abstract: This study introduces a magnetically nonlinear grounded negative-stiffness dynamic vibration absorber (MNG-NSDVA), demonstrating its exceptional efficacy in suppressing primary system vibrations. The inherent nonlinearity of the magnetic mechanism is rigorously validated through theoretical analysis. Employing the Incremental Harmonic Balance (IHB) method coupled with an arc-length continuation technique, we determine the system’s frequency-amplitude response characteristics, with subsequent high-fidelity numerical verification. Comprehensive parametric investigations elucidate the influence of nonlinear stiffness magnitude, external excitation intensity, and absorber stiffness on the primary system’s resonant behavior. Critically, numerical simulations establish that optimal tuning of the MNG-NSDVA yields significant vibration mitigation across broad frequency bands while simultaneously eliminating unstable phenomena, including jump discontinuities. Comparative analysis against linear negative-stiffness absorbers confirms a substantially expanded attenuation bandwidth and superior suppression efficiency, particularly pronounced within the critical low-frequency regime.
文章引用：冯文聪, 赵艳影. 含磁性非线性接地式负刚度动力吸振器理论分析及参数优化[J]. 动力系统与控制, 2026, 15(2): 171-185. https://doi.org/10.12677/dsc.2026.152018

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