A Method for Optimizing Structural Parameters Based on Sparse Matrix Symbolic Operation Results

Abstract

The invention discloses a method for optimizing structural parameters based on sparse matrix symbolic operation results, and belongs to the technical field of aircraft structure strength analysis. The method mainly includes firstly generating the stiffness matrix through the finite element analysis method; secondly, performing matrix transformation on the stiffness matrix with the goal of minimizing the filling element, and establishing a mapping relationship; and then performing numerical decomposition on the right-hand side of the load by using the above transformation , form the triangular decomposition matrix of the sparse matrix of the linear equation system; and use the matrix decomposition results to conduct finite element analysis and perform optimization calculations, and the updated design variables use the above mapping relationship to perform numerical item replacement operations; finally repeat the optimization process until the optimization converges . The present invention makes full use of the result of the first symbolic operation to carry out the numerical decomposition operation, and only one symbolic operation is required in the whole design process. Compared with the traditional design process, the method will shorten the design time by about 50% in theory.

Description

technical field [0001] The invention belongs to the technical field of aircraft structural strength analysis, and in particular relates to a method for optimizing structural parameters based on sparse matrix symbolic operation results. Background technique [0002] In order to complete the research and development design of the structure with high quality under the limited time and funds, it is an inevitable choice to design by means of optimization. Optimal design is increasingly becoming an effective means for people to solve the contradictions of safety, performance, time and cost. After decades of hard work, the development of optimization techniques has made great progress in theory and application. [0003] Due to historical reasons, in the traditional optimization design process, the finite element analyzer is artificially isolated from the optimization process, and the results of the optimizer after numerical optimization must be returned to the analyzer for a comple...

AI Technical Summary

Problems solved by technology

At present, with the improvement of computer hardware technology, finely divided finite element grids are often used for increasingly complex structural design forms. The finite element model of millions of nodes in the design is quite common, and the finite element model of this scale is repeatedly called for optimization. The design efficiency is relatively low

refer to figure 2 , the analysis process in the traditional optimization design is used as a black box call, and the response is obtained by repeatedly calling the solver, and the optimization efficiency is low

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