中文摘要：

从图论的基本概念出发,得到了柔性铰链机构有向图表示,并针对平面柔性铰链机构提出一种改进的双色图表示方法.通过十字链表的数据结构形式将柔性铰链机构的双色图表示映射到计算机中,按照所需的运算顺序遍历双色图,依次调用相应的函数表达式,从而实现了柔性铰链机构运动静力学模型的自动生成.以差分微位移放大机构为例,将基于图表示的平面柔性铰链机构自动建模方法计算结果与有限元仿真分析结果对比,两者的相对误差为4.89%,表明该自动建模方法是可行的.

英文摘要：

Based on the concept of graph theory, a new two-colored digraph representation of planar flexure-based compliant mechanisms is presented, which is mapped to computers by the data structure of the orthogonal list. Then, the vertices and edges of the diagraph are traversed in the order of operations, to automatically generate kinetostatic models for planar flexure-based compliant mechanisms. The process of the automatically generating kinetostatic model for planar flexure-based compliant mechanisms based on graph theory is illustrated by applying it to the differential micro-displacement amplification mechanism. The results achieved by the automatically generating model and the finite element method are in good agreement, which validates the effectiveness of the proposed methods.