含惯容和杠杆元件的减振系统参数优化及性能分析  

Parameter optimization and performance analysis of vibration mitiga⁃tion systems with inertia and lever components

作　　者：周子博 申永军[1,2] 邢海军 温少芳[1] 杨绍普 ZHOU Zi-bo;SHEN Yong-jun;XING Hai-jun;WEN Shao-fang;YANG Shao-pu(State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao Uni-versity,Shijiazhuang 050043,China;School of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]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,河北石家庄050043 [2]石家庄铁道大学机械工程学院,河北石家庄050043

出　　处：《振动工程学报》2022年第2期407-416,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(U1934201,11772206)。

摘　　要：为了提高减振性能,设计了两种基于惯容⁃弹簧⁃阻尼器结构的含放大机构的减振系统,探讨了模型在受到外部激励时的减振效果。根据牛顿第二定律建立了系统的动力学方程,并得到了其解析解,发现幅频曲线都存在独立于阻尼比的两个固定点。基于H∞和H2优化准则,分别得到了系统的最优参数,并研究了惯容质量比和放大比对模型减振性能的影响。发现在一定范围内,惯容质量比与放大比增大,幅频曲线峰值降低,两共振峰间距拉大,并通过数值仿真验证了解析解的正确性。与其他减振模型在简谐激励和随机激励情况下比较,所设计模型大幅降低了共振振幅,并且拓宽了有效频带,表明其具有更好的减振性能。Inertia and lever components are both force amplification elements in essence,and show excellent performance in the field of vibration control.In order to improve the vibration mitigation performance,two new vibration systems with amplifying mechanisms based on ISD(Inerter-Spring-Damper)structure are designed,and the vibration mitigation effects are studied in detail when the models are subjected to external excitation.Firstly,the dynamic equations are established according to Newton's second law and the analytical solutions of the systems are obtained.It is found that there always exist fixed points independent of the damp-ing ratio in the normalized amplitude-frequency curves.The optimal parameters are respectively obtained based on the H∞and H2 criteria.In addition,the influences of the inerter-to-mass ratio and amplification ratio on the vibration performances are studied.It could be found that the peak values of amplitude-frequency curves are reduced and the distance between two resonance frequencies is broadened when the inerter-to-mass ratio and amplification ratio are increased within a certain range.The correctness of the ana-lytical results is verified by the comparison with numerical simulation.Compared with other systems under harmonic and random excitations,the results show that the presented vibration mitigation systems can greatly reduce the resonance amplitude and broad-en the frequency band,and have much better vibration performance.

关 键 词：振动控制 惯容 杠杆元件 力放大机构 参数优化 

分 类 号：TB535[理学—物理] O328[理学—声学]