Automatically generating kinetostatic model for planar flexure-based compliant mechanisms

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.