摘要
传统的动力吸振器参数设计通常忽略主系统阻尼,但在实际结构中,阻尼是不可避免的,忽视这一因素可能导致结果的显著误差.本研究针对含放大机构的负刚度动力吸振器,首先建立了系统的运动微分方程并求得其解析解.由于主系统存在阻尼,固定点理论失效,只能通过数值方法求解出系统的最优参数.随后,对主系统振幅的表达式进行无量纲化,采用最小化-最大振幅的优化方法得到了系统的最优参数,并通过数值仿真验证了解析解的准确性.研究表明,与传统的动力吸振器相比,考虑主系统阻尼可有效提高系统减振效率,并减少主系统振幅对激振频率的依赖性.最后,设计了含放大机构的动力吸振器减振实验,通过采用不同类型动力吸振器和不同阻尼值的对比验证了接地负刚度装置良好的减振性能.
In the field of engineering vibration control,the parameter design of traditional dynamic vibration absorbers typically neglects the damping inherent in the primary system;However,structural damping is unavoidable in practical applications,and disregarding this factor introduces significant errors and diminishes vibration suppression effectiveness.To resolve this limitation and enhance engineering applicability,this study aims to solve the optimization design problem of a negative stiffness dynamic vibration absorber incorporating an amplification mechanism under the condition of primary system damping.The research first establishes the precise governing differential equations of the system and derives its analytical solution.Given that the presence of primary system damping invalidates the classical fixed-point theory,a numerical optimization approach is employed:the primary system amplitude is normalized and based on the criterion of minimizing the maximum primary system amplitude,optimal parameters including the stiffness ratio and damping ratio are determined through numerical search techniques.The accuracy of the analytical solution is subsequently verified using numerical simulations.The results demonstrate that,compared to traditional dynamic vibration absorber designs ignoring primary system damping,the proposed method significantly improves the overall vibration reduction efficiency of the negative stiffness dynamic vibration absorber with amplification mechanism and effectively reduces the sensitivity of the primary system's resonant amplitude to variations in excitation frequency.Comparative vibration suppression experiments between the grounded negative stiffness dynamic vibration absorber with amplification mechanism and conventional dynamic vibration absorbers further validate that the proposed negative stiffness device exhibits significantly superior performance both in terms of effective bandwidth and vibration reduction depth.This study provides a solid theoretical foundation and a practical optimization methodology for negative stiffness dynamic vibration absorbers incorporating amplification mechanisms;its optimization strategy,which explicitly considers primary damping,markedly enhances the practical effectiveness and adaptability of the absorber.Consequently,the proposed negative stiffness dynamic vibration absorber demonstrates broad application prospects in engineering fields requiring efficient broadband vibration suppression,such as precision instruments,offering a novel solution for high-performance vibration control.
作者
吴浩
赵艳影
王庆瑞
孙涛
张大帅
Hao Wu;Yanying Zhao;Qingrui Wang;Tao Sun;Dashuai Zhang(School of Aeronautics and Astronautics,Nanchang Hangkong University,Nanchang,330063)
出处
《固体力学学报》
北大核心
2025年第5期610-625,共16页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金资助项目(12072140)资助。
关键词
动力吸振器
主系统阻尼
最小化-最大振幅优化
接地负刚度
dynamic vibration absorber
primary system damping
minimization-maximization amplitude optimization
negative stiffness
