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Geometric Stability Judgment Method for Symmetrical Overconstrained Structural Systems

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

Active Publication Date: 2018-02-02
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 Judgment Method for Symmetrical Overconstrained Structural Systems
  • Geometric Stability Judgment Method for Symmetrical Overconstrained Structural Systems
  • Geometric Stability Judgment Method for Symmetrical Overconstrained Structural Systems

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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 complex 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 that...

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Abstract

The invention discloses a method for judging the mobility of a symmetrical over-constrained structural system, which mainly includes: determining the symmetry group to which the structure belongs, calculating the relative degrees of freedom of the structure, and solving the displacement mode and self-stress mode of the mechanism; then, predicting The symmetry properties of the mechanism displacement mode and self-stress mode, and judge whether they contain the same order symmetry; if not, the geometric stability of the structure can be judged, otherwise, the structural stability can be judged after solving all the symmetry properties of the two Geometric stability; finally, when the judgment conditions are satisfied, the judgment of the geometric stability of the structure is completed, and the process ends; otherwise, the geometric stability of the structure is re-judged after reducing the order of the symmetry group it belongs to.

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...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F19/00
Inventor 陈耀冯健
Owner SOUTHEAST UNIV
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