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research-article

Studying the Optimal Layout of Topological Graphs to Facilitate the Automatic Sketching of Kinematic Chains

[+] Author and Article Information
Wenjian Yang

School of Mechanical Engineering and Electronic Information, China University of Geosciences No. 388 LuMo Road, Hongshan District, 430074 Wuhan, China
ywj19900125@163.com

Huafeng Ding

School of Mechanical Engineering and Electronic Information, China University of Geosciences No. 388 LuMo Road, Hongshan District, 430074 Wuhan, China
dhf@ysu.edu.cn

Yong He

School of Automation, China University of Geosciences No. 388 LuMo Road, Hongshan District, 430074 Wuhan, China
heyong08@cug.edu.cn

Min Wu

School of Automation, China University of Geosciences No. 388 LuMo Road, Hongshan District, 430074 Wuhan, China
wumin@cug.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4036781 History: Received December 21, 2016; Revised May 01, 2017

Abstract

The sketching of kinematic chains is important in the conceptual design of mechanisms. In general, the process of sketching kinematic chains can be divided into two steps, namely sketching topological graphs and converting them into the corresponding kinematic chains. This paper proposes a new method to automatically sketch topological graphs including both planar and non-planar graphs. First, two parameters called Moving Sign (MS) and Moving Sign String (MSS) are defined, based on which a new algorithm is proposed to acquire all feasible layouts of the contracted graph by moving inner edges. All topological graphs synthesized from the same contracted graph are identified to have the shared feasible layouts, and another algorithm is proposed to determine the optimal layout for each topological graph. Then, topological graphs are sketched automatically by determining the location of vertices. The method has low complexity and is easy to be programmed using computer language.

Copyright (c) 2017 by ASME
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