Geometrical Analysis of Connecting Beam Mandala: A Planar Deployable Mechanism

Author:

Chen Bin1,Hu Jie2,Chen Weixing3,Qi Jin4

Affiliation:

1. State Key Laboratory of Mechanical, System and Vibration, Shanghai Jiao Tong University, Room D-311, No. 800 Dongchuan Road, Minhang District, Shanghai 200240, China

2. State Key Laboratory of Mechanical, System and Vibration, Shanghai Jiao Tong University, Room A-735, No. 800 Dongchuan Road, Minhang District, Shanghai 200240, China

3. State Key Laboratory of Mechanical, System and Vibration, Shanghai Jiao Tong University, Room A-628, No. 800 Dongchuan Road, Minhang District, Shanghai 200240, China

4. State Key Laboratory of Mechanical, System and Vibration, Shanghai Jiao Tong University, Room A-905, No. 800 Dongchuan Road, Minhang District, Shanghai 200240, China

Abstract

Abstract Connecting beam (CB) mandala is a kind of planar deployable mechanism with the ability of scaling up and down like a mandala flower. It is constructed by many-component connecting beams, which are identical circle arcs with specific arc angle and three revolving joints (one middle joint and two end joints) located symmetrically. In this paper, a detailed geometrical analysis of CB mandala is reported. Some basic concepts and parameters are proposed to describe CB mandala's geometry. Based on them, the scaling motion of CB mandala is analyzed, and its five morphologies and their unique features are presented. CB mandala's application is also discussed and illustrated with a simple case.

Funder

National Natural Science Foundation of China

China Postdoctoral Science Foundation

Shanghai Committee of Science and Technology

Ministry of Science and Technology, China

Publisher

ASME International

Subject

Mechanical Engineering

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