弹性连杆机构动力响应的级数解法

本文构造了一种求解具有均布质量、等截面弹性平面连杆机构稳态响应的三角级数解法。模型中考虑了构件的集中质量及集中转动惯量的影响。由拉格朗日方程导出系统的非线性控制微分方程。用有限中心差分法求解系统的稳态响应，并与前人的实验结果进行了比较，从而证实本文所提出方法的正确性。

APPROACH TO DYNAMIC RESPONSES OF MECHANISM WITH ELASTIC LINKS BY SERIES METHOD

A trigonometric series method is proposed to obtain the steady state responses of planar elastic linkage mechanisms with distributed mass and uniform cross section. The influences of concentrated masses and rotatory inertia are also considered in the model. The nonlinear governing differential equations of the system are derived from lagrange equation. A finite central difference method is used to obtain the steady state responses of the system. The results are tested by comparing the calculated responses with the previously published ones.