一种含有杠杆元件的动力吸振器参数优化  

Parameters optimization for a type of dynamic vibration absorber with lever component

作　　者：邢子康 申永军 邢海军 王军 XING Zi-kang;SHEN Yong-jun;XING Hai-jun;WANG Jun(School of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]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》2020年第2期347-355,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(U1934201,11772206);河北省高等学校创新团队领军人才计划(LJRC018);河北省高等学校高层次人才科学研究项目(GCC2014053);国家自然科学青年基金资助项目(11802183)。

摘　　要：提出了一种含有杠杆元件的新型动力吸振器模型,基于H∞与H2准则进行了参数优化,并分析了减振效果。首先建立了系统的运动微分方程并求解,然后利用固定点理论和最优性能指标分别对系统参数进行H∞优化和H2优化,从而得到了两种优化准则下的最优参数。将解析得到的结果和数值结果进行了对比,证明了求解的正确性。进一步分析了放大比对系统最优参数和主系统振幅的影响。将含有杠杆模型与经典的动力吸振器模型进行了对比,发现含有杠杆模型的减振效果优于已有的经典动力吸振器模型,可以为设计新型动力吸振器提供理论依据。A new type of dynamic vibration absorber(DVA)with lever component is proposed.The parameters optimization is carried out based on the H∞ and H2 criteria,and the performance of vibration reduction is analyzed in detail.Firstly,the motion differential equation of the system is established and solved.Then,the analytical optimal parameters based on H∞and H2 optimization criteria are obtained by using the fixed point theory and the optimal performance index,respectively.The analytical results are compared with the numerical ones,which prove the correctness of the analytical solution.The effects of the amplification ratio on the optimal parameters and the amplitude of the primary system are further analyzed.By comparing this model with the classical DVAs,it can be seen that the vibration reduction effect of the new DVA with lever component is much better than those existing classical DVAs.Therefore,it could provide a theoretical basis for designing new DVAs.

关 键 词：振动控制 动力吸振器 参数优化 杠杆 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]