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

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 present invention is a method applied to expandable structure design and spatial structure construction analysis, and in particular relates to a method for default correction of movable structure generalized coordinates based on cluster theory. Background technique [0002] The movable structure has movable degrees of freedom, and the stiffness matrix of the structure is singular, and the conventional finite element method cannot be used. Force method, dynamic method, etc. must be used to analyze the movement process of this type of structure. However, there are a lot of bar constraints involved in the analysis. If the generalized coordinates of the structure are not corrected in time, it will cause inconsistent deformation of some bars and deviate the structure 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 process...

AI Technical Summary

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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