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Geometric stability judging method of symmetrical overconstrained structural system

A discriminant method and over-constraint technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as lack of persuasiveness, unstable symmetric over-constrained structural system, etc., to improve calculation efficiency and avoid calculation and the effects of the analytical tools

Active Publication Date: 2015-12-09
SOUTHEAST UNIV
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Problems solved by technology

In the design and analysis process of deployable structures, it is not convincing enough to use conventional judgment methods to explore whether the symmetrical overconstrained structural system is geometrically unstable

Method used

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  • Geometric stability judging method of symmetrical overconstrained structural system
  • Geometric stability judging method of symmetrical overconstrained structural system
  • Geometric stability judging method of symmetrical overconstrained structural system

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Embodiment Construction

[0032] The present invention will be further described below in conjunction with embodiment and accompanying drawing.

[0033] In the method of the present invention, the symmetrical over-constrained structural system is formed by connecting a series of components through complicated connection nodes such as rotating joints and sliding joints, and the nodes and connecting components have multiple rotational and mirror symmetric operations with respect to the structural center point. The specific steps of the discriminant method are as follows:

[0034] 1) Analysis preparation

[0035] Define the geometric configuration of the constrained structure to be identified, including the number and relative position of each connection node in the structure, and the connection direction of each component. And according to the inherent symmetry operation of the structure, determine the type of symmetry group to which the structure to be identified belongs. The symmetry operation means ...

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Abstract

The invention discloses a mobility judging method of a symmetrical overconstrained structural system. The method mainly comprises the steps that a symmetrical group which the structure belongs to is determined, the relative freedom degree of the structure is calculated, and a mechanism displacement mode and a self-stress mode are solved; finally, the symmetric attribute of the mechanism displacement mode and the self-stress mode is predicted, and whether the mechanism displacement mode and the self-stress mode have the same order symmetry or not is judged; if not, the geometric stability of the structure is judged, or else, the geometric stability of the structure is judged after all symmetric attributes of the mechanism displacement mode and the self-stress mode are solved; finally, when judgment conditions are met, the geometric stability of the structure is judged, and the process is finished; if judgment conditions are not met, the geometric stability of the structure is judged again after the order of the symmetrical group which the structure belongs to is reduced.

Description

technical field [0001] The invention belongs to the field of space structure design, and relates to a geometric stability judgment method of a symmetrical over-constrained structure. Background technique [0002] In recent years, deployable structures have been successfully applied in fields such as aerospace, advanced mechanisms and robots, and modern space structures. Such structures cannot maintain geometric stability and can exhibit continuous and significant geometric configuration changes. Therefore, the geometric stability judgment of symmetric overconstrained structural systems is an important link in the preliminary design process of new mechanisms and 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. However, as the structure becomes more complex and the number of self-stress modes of the structure increases, the solution effici...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 陈耀冯健
Owner SOUTHEAST UNIV
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