Automatic topological structural synthesis algorithm of planar simple joint kinematic chains

Peng He,Yanhuo Zou,Yongle Pei

doi:10.1177/1687814016638055

Abstract

Structural synthesis of kinematic chains is one of the most important and challenging mathematical problems in the field of conceptual design stage of mechanisms. In this article, an automatic topological structural synthesis algorithm has been proposed for planar simple joint kinematic chains. At first, the planar simple joint kinematic chains can be represented by single-color topological graph and corresponding link-joint incident matrix. Then, the corresponding incident matrices of planar simple joint kinematic chains with special input parameters can be formed with the single kinematic chain adding method with the help of isomorphic identification. Finally, based on the procedure for the single-color topological graph automatic drawing, an automatic topological structural synthesis algorithm of planar simple joint kinematic chains with specified degree of freedom F and number of links n can be synthesized in batch, while there are several examples to show the effectiveness of this method.

Highlights

Structural synthesis is the first and most important stage in the mechanical conceptual design progress.[1,2,3,4] It is the original innovation of mechanical systems and provides large numbers of optional structure types when new mechanisms are created
The topological graph theory on the study of planar simple joint kinematic chains (PSJKCs) is introduced in the papers,[11,12,13] and later the synthesis method based on topological graph theory is developed widely and has become the most popular structural synthesis approach
In section ‘‘Automatic synthesis of incident matrixes (IMs) from PSJKCs,’’ based on the single-color topological graph (SCTG) and IM, the IMs of the PSJKCs with independent loops D can be formed by subsequently adding single open chain Oj (j = 2, ., D) to the basic C1

Summary

Introduction

Structural synthesis is the first and most important stage in the mechanical conceptual design progress.[1,2,3,4] It is the original innovation of mechanical systems and provides large numbers of optional structure types when new mechanisms are created. According to the incident matrixes (IMs) of kinematic chains corresponding to specified DOFs F, number of links n and the total multiple joint factors P can be automatically synthesized.

Results

Conclusion