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

A symmetrical, rod-based technology, applied in special data processing applications, instruments, electrical and digital data processing, etc., can solve problems such as lack of convincing, achieve the effect of improving calculation efficiency and avoiding repeated judgment and calculation

Inactive Publication Date: 2012-06-20
SOUTHEAST UNIV
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Problems solved by technology

In the design and analysis process of deployable structures, it is still not convincing enough to...

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

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Embodiment Construction

[0029] The invention discloses a method for judging the mobility of a symmetrical bar system structure based on cluster theory. The symmetric bar system structure is composed of a series of hinged members, and the nodes, elements and boundary constraints have multiple rotation and mirror symmetry operations about the center point of the structure. The specific steps of the judgment method are as follows:

[0030] 1) Analysis preparation

[0031] Define the geometric model information of the structure to be determined, including the coordinates and numbers of each node of the structure, the topology of each unit (that is, the number of nodes connected at both ends of each unit), and the boundary conditions of the structure. And according to the symmetry operation of the structure, determine the type of symmetry group to which the structure to be determined belongs. Symmetry operation refers to that the structural configuration remains unchanged after effective operation trans...

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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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Application Information

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IPC IPC(8): G06F17/50
Inventor 陈耀冯健夏仕洋
Owner SOUTHEAST UNIV
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