Research on Dynamics of a Deployable Mechanism with Force and Position Constrains Based on Kresling Origami

doi:10.3901/JME.2025.21.274

Abstract

Abstract: Combining the Kresling origami model with metamorphosis, a deployable supporting mechanism with characteristics of easy deployment but hard collapse is designed. Firstly, the constrained screw systems of mountain crease limbs and valley crease limbs are determined by using the constrained screw theory and spatial geometry theory. Both the MCM and VCM allow screw motion along Z-axis but with different pitches which results in a supporting structure with hard deployment and hard collapse characteristics when MCM is arranged with VCM together. Secondly, three deployable supporting mechanisms with easy deployment but hard collapse characteristics are proposed by introducing variable constraint joints into the valley crease limbs. A general representative parallel mechanism 6U₁U₁/6(P)U₂U₂ is selected as the main focus to reveal the relationship between the load and the deformation based on Euler beam theory. The stiffness matrix is established and expressed as functions of geometry parameters which can be utilized to determine the optimal inclined angle of supporting limbs. Finally, selective and easy deployability with bistable states are analyzed and demonstrated by experiments and dynamic simulations. The results obtained can provide new insight into the mechanical design of deployable structures with heavy load-bearing capacity.

Key words: origami, deployable supporting mechanism, screw theory, Euler beam theory, dynamics

CLC Number:

TH112

CHANG Boyan, GAO Yuhan, JIN Guoguang, MO Shuai, ZHOU Yang. Research on Dynamics of a Deployable Mechanism with Force and Position Constrains Based on Kresling Origami[J]. Journal of Mechanical Engineering, 2025, 61(21): 274-285.

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