计及框架参数的动力吸振器建模与优化研究

Modeling and Optimization of Dynamic Vibration with Considered Parameters of Frame

传统的动力吸振器理论模型多为二自由度系统,由于在工程应用中,动力吸振器安装框体质量、刚度对系统会产生影响,使其动力学模型更接近于三自由度。本文建立了三自由度动力吸振模型,比较了二、三自由度模型的差异。利用MATLAB中的遗传算法模块对模型中的两个待定参数进行了编程优化,得到了动力吸振器在最优参数下的减振特性与效果。

Most of the traditional theoretical models of dynamic vibration absorber are two degree of freedom system. However,in engineering application the mass and stiffness of frame may has a certain impact on the system,which makes the dynamic model similar to three degrees of freedom system. In order to prove that,a three degree of freedom model has been established. After that the differences between two degree of freedom and three degree of freedom model was drawn according to a series of comparison. Furthermore,the genetic algorithm toolbox in MATLAB was used to calculate the optimal two parameters of the amplification coefficient formula,which verified that the DVA have a better vibration damping effect under the optimal parameters.