参数变异对动力吸振器动态性能的影响  

Effects of parameter variances on dynamic characteristics of dynamic vibration absorbers

作　　者：杨琳[1] 苏荣华[1] 何锃[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2010年第4期125-128,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10872075)

摘　　要：采用蒙特卡罗方法,针对参数的随机变化对动力吸振系统动态性能的影响进行了定量分析.结果表明,在系统的动力学参数中,主系统和动力吸振器质量系数的变异对动力吸振系统的动态性能影响最大,变异的增大会使动力放大系数峰值前移,即在较低的激振频率下便产生共振,产生共振的激励频率的带宽大幅增加.随刚度变异的增加,且多倍放大系数的频率范围也明显扩大.而阻尼参数的变异对动力吸振系统动态性能的影响相对较小.参数耦合变异时,P和Q两个峰值拐点逐渐消退,并逐渐出现新的峰值,动力吸振器的动态性能已远离最优状态.比较发现,优化后动力吸振系统的动态性能有较大改善,不仅在振幅上有所减小,而且能适应更大的变异.Effects of random variation parameter on dynamic properties of dynamic vibration absorber was analyzed quantiatively by Monte Carlo method.The results indicate that in all of the parameters the variation of mass is most influential.The increase of the variability of the main system and dynamic vibration absorber mass coefficient can make the peak of magnification advance.It means resonance produces at lower frequency.It widens the band width of excited frequency which induces resonance.With increasing of the variation of stiffness,the band width of frequency which produces multiple amplification factor extended too.However,the infection of damp variational parameter can not compared with mass and stiffness.When add the variety of the parameter of mass stiffness and damp,the peaks of P and Q die away.The new peak appears between them.It means the dynamic properties vibration absorber is removed from optimum.Net only amplitude but also the variety cofficient,the dyramic properties of dynamic vibration absorber has been improued after optimum.

关 键 词：动力吸振器 激振频率 动态特性 放大系数 变异系数 

分 类 号：O232[理学—运筹学与控制论]