Abstract:

In view of the micro manufacturing platform, the problem of isolation based on Udwadia-Kalaba theory to establish the dynamics model of vibration isolation platform, and study its dynamic characteristics under pedestrian excitation. The dynamic model of Udwadia - Kalaba was established for the two structures, and the various particle response curves of solid and dispersed structure were obtained by Matlab simulation. The result of research shows that a dynamic model based on the Udwadia - Kalaba theory can be solved without introducing Lagrange multipliers;Solid structure and decentralized structure even the response curve of the contrast, it is known that the solid even structure relative to the dispersed structure model can achieve good damping effect, and the theoretical method can better applied to the micro vibration isolation platform vibration dynamics to solve the manufacturing aspect.

摘要：

针对微制造平台的隔振问题，基于Udwadia-Kalaba理论建立隔振平台的动力学模型，并研究其在人行激励下的动力学特性。针对固连结构和分散结构建立Udwadia-Kalaba动力学模型，通过MATLAB仿真分别得到固连结构和分散结构的各质点响应曲线。研究结果表明：基于Udwadia-Kalaba理论的动力学模型可以在不引入拉格朗日乘数的情况下求解；通过其固连结构与分散结构响应曲线的对比，可以得知其固连结构相对于分散结构模型更能达到明显的减振效果，而且该理论方法能较好地应用于微制造隔振平台振动问题求解。

关键词: 振动与波以, Udwadia-Kalaba理论, 人行激励, 固连结构, 分散结构