基于多刚体离散元模型的柔顺机构动力分析新方法

NEW ANALYSIS METHOD FOR COMPLIANT MECHANISMS BASED ON MULTI-RIGID-BODY DISCRETE ELEMENT MODEL

柔顺机构是部分或者全部由其构件的预期弹性变形来传递运动和力,这使得构件的弹性变形一般都较大。它的分析一般属于几何非线性问题。基于弹性体的多刚体离散元模型,研究了柔顺段和柔顺机构的多刚体离散元建模方法,推导了柔顺机构系统的一般控制方程,该方程可以解决柔顺机构的特征频率和几何非线性变形问题。并给出了算例,计算结果表明多刚体离散元方法能较好解决柔顺机构的几何非线性静力学和动力学分析。

Compliant mechanisms gain some or all of their mobility of their members rather than from rigid-body joints only. So the deflections of their members are large, and the geometrically nonlinearity is introduced in the governing equations. It is important to develop the efficient and usable analysis and design techniques. Based on the multi-rigid-body discrete element model, the model method for compliant segment and compliant mechanisms is developed, and the governing equations are deduced. It is applicable to the eigenfrequency and geometric nonlinear response analysis of compliant mechanisms. Given examples show that the model is successful in static and dynamic geometric nonlinear analysis of compliant mechanisms.