Method for judging movability of symmetric rod system structure based on group theory

Abstract

The invention discloses a method for judging the movability of a symmetric rod system structure based on a group theory, belonging to the field of building structure designs and space structural designs. The method is particularly suitable for the initial design of a deployable structure. According to the method, a degree of freedom formula of the symmetric rod system structure is simplified to various types of symmetric linear expressions based on inherent irreduable representations and characteristic standard values of a symmetric group; and the symmetric property of a mechanism displacement mode and a self-stress mode is obtained, so that the movability of the symmetric structure can be directly judged. Compared with the conventional movability judgment method in which the symmetric property of the structure is not used fully and the analysis calculation for large structures is complicated, the method has the advantages that: the movability of most symmetric rod systems can be judged by only carrying out simple vector calculation and simplification, and a structure designer can popularize and apply the method conveniently.

Description

technical field [0001] The invention is a method applied to building structure design and space structure design, in particular to a method for judging the mobility of a symmetrical bar system structure based on group theory. Background technique [0002] In the past 30 years, deployable structures have been gradually applied in the fields of civil engineering, machinery, and aerospace engineering. This type of structure has movable degrees of freedom, so it can present a variety of stable configurations. The determination of the mobility of the structure, that is, whether the self-stress mode of the structure can transfer the first-order stiffness to make the structure geometrically stable, is an important link in the research and design of deployable structures. The geometric stability judgment method proposed by Calladine and Pellegrino can be effectively applied to conventional bar structures with low self-stress modulus; subsequently, Luo Yaozhi and Lu Jinyu further imp...

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Problems solved by technology

In the design and analysis process of deployable structures, it is still not convincing enough to use conventional judgment methods to explore whether the structure is geometrically movable (unstable)

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