Default revising method for generalized coordinate of movable structure based on cluster theory

A technique of generalized coordinates and cluster theory, applied in the field of default correction of generalized coordinates of movable structures based on cluster theory, can solve time-consuming and other problems

Inactive Publication Date: 2015-04-01
SOUTHEAST UNIV
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Problems solved by technology

However, with the increase in the scale of the movable structure and the complexity of the geometry, the number of nodes and members of the structure gradually increases, and the process of default correction of the generalized coordinates of the structure will be very time-consuming

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  • Default revising method for generalized coordinate of movable structure based on cluster theory
  • Default revising method for generalized coordinate of movable structure based on cluster theory
  • Default revising method for generalized coordinate of movable structure based on cluster theory

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Embodiment Construction

[0043] The invention discloses a default correction method for generalized coordinates of a movable structure based on cluster theory. The disclosed method will be further described below in conjunction with the accompanying drawings.

[0044] 1. Default correction for generalized coordinates of movable structures

[0045] Under a given geometric configuration, according to the constraint relationship between nodes and members in the movable structure, the generalized displacement coordination equation of the overall structure can be established:

[0046] J·d=e (1) In the formula, J is the b×q order generalized displacement coordination matrix, where b is the total number of members in the movable structure, q is the motion degree of freedom of the joint, and d in the equation (1) is the q dimension The structural generalized coordinate vector of , and e in equation (1) is the b-dimensional structural generalized deformation vector. In the analysis of the motion process, aft...

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Abstract

The invention discloses a default revising method for a generalized coordinate of a movable structure based on a cluster theory and relates to the fields of design of an unfoldable structure, space structure construction analysis and the like. According to the method disclosed by the invention, the default revising problem of the generalized coordinate of the movable structure is changed into a plurality of mutually independent subproblems, each subproblem is solved by parallel computation, and time consumed in the default revising process of the generalized coordinate of the movable structure is effectively reduced. The method mainly comprises the following steps: a generalized displacement compatibility equation of the movable structure is established, and the symmetric group which the movable structure belongs to is determined; then each partitioned submatrix of a symmetric generalized displacement compatibility matrix is respectively computed, and corresponding generalized inverse is solved; and finally, the generalized inverse of the symmetric displacement compatibility matrix of the whole structure is built along a diagonal line, and the generalized coordinate of each node of the movable structure is revised. The higher the symmetry of the movable structure is, the more remarkable the improvement of the solving efficiency of the fault revising process of the generalized coordinate is.

Description

technical field [0001] The invention is a method applied to the design of expandable structures and the construction analysis of spatial structures, in particular to a method for correcting violations of generalized coordinates of movable structures based on cluster theory. Background technique [0002] The movable structure has movable degrees of freedom, and the stiffness matrix of the structure is singular, so the conventional finite element method cannot be used to analyze the motion process of such structures by means of force method and dynamic method. However, a large number of member constraints are involved in the analysis. If the generalized coordinates of the structure are not corrected in time, it will cause uncoordinated deformation of some members and make the structure deviate from the proper motion path. Therefore, the default correction of the generalized coordinates of the movable structure is a key factor for accurately simulating the unfolding and folding...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/16
Inventor 陈耀冯健夏仕洋庄丽萍
Owner SOUTHEAST UNIV
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