一种含放大机构、惯容和接地刚度的动力吸振器的参数优化  

Parametric optimization of a DVA with amplifying mechanism,inerter and grounded stiffness

作　　者：杨晓彤 申永军 王俊锋[3] YANG Xiaotong;SHEN Yongjun;WANG Junfeng(Department of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;CRRC TANGSHAN Co.,Ltd.,Tangshan 064000,China)

机构地区：[1]石家庄铁道大学机械工程学院,石家庄050043 [2]石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室,石家庄050043 [3]中车唐山机车车辆有限公司,河北唐山064000

出　　处：《振动与冲击》2022年第21期308-315,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(U1934201,11772206)。

摘　　要：惯容、放大机构、接地刚度及其组合结构等常用于振动控制中,有着较为良好的减振效果。提出了一种含放大机构和惯容的接地刚度动力吸振器(dynamic vibration absorber,DVA),该模型以Voigt DVA为基础,引入放大机构、惯容和接地刚度提高系统的减振性能。依据H_(∞)优化准则对吸振器进行了参数优化。首先,建立系统的运动微分方程,基于扩展的固定点理论推导出最优频率比,进而求出系统稳定状态下的最优刚度比及其对应的惯容最佳工作范围,通过基于摄动的方法得到系统近似阻尼比设计公式。最后,通过MATLAB软件计算数值解验证了解析解的正确性。在简谐激励条件下,与现有的DVA进行对比,证明了该模型具有良好的减振效果,并在随机激励下进一步进行了验证。研究过程和结果对新型动力吸振器的设计和应用有一定的参考意义。Inerter,amplifying mechanism,grounded stiffness and their combined structure are often used in vibration control and have a better vibration reduction effect.Here,a dynamic vibration absorber(DVA) with amplifying mechanism,inerter and grounded stiffness was proposed.Based on Voigt DVA,amplifying mechanism,inerter and grounded stiffness were introduced to improve the vibration reduction performance of the system.Parameters of the absorber were optimized according to H_(∞) optimization criterion.Firstly,the dynamic differential equation of the system was established,the optimal frequency ratio was derived based on the extended fixed-point theory,and then the optimal stiffness ratio and the corresponding optimal operating range of inerter under the system stable state were obtained.The approximate damping ratio design formula of the system was obtained based on the perturbation method.Finally,the correctness of the analytical solution was verified with the numerical solution calculated using MATLAB.Under the condition of simple harmonic excitation,compared with the existing DVA,it was shown that the proposed model has a good vibration reduction effect,and is further verified under random excitation;the study process and results have certain reference significance for design and application of new DVA.

关 键 词：动力吸振器 参数优化 放大机构 惯容 固定点理论 

分 类 号：O328[理学—一般力学与力学基础] TH113.1[理学—力学]