Continuum structure reliability topological optimization method under displacement and global stress mixed constraint

Abstract

The invention discloses a continuum structure non-probability reliability topological optimization method under displacement and global stress mixed constraint. According to the method, first, a density filtering method is adopted to obtain unit density through design variables; second, a relaxation rule is adopted to calculate displacement and stress of a structure, and stress integration function constraint is utilized to process global stress; third, a vertex combination method is utilized to obtain an upper bound and a lower bound of a displacement and stress integration function; fourth,optimal feature displacement is adopted to replace non-probability reliability indexes to solve a convergence problem, and an adjoint vector method and a composite function derivation rule are adoptedto solve sensitivity of the optimal feature displacement; and last, a mobile progression method is adopted to perform iterative computation till a corresponding convergence condition is met, and an optimal design scheme meeting reliability constraint is obtained. Through the method, the influence of uncertainty on stiffness and strength performance of the continuum structure is reasonably represented in the topological optimization design process, effective weight reduction can be realized, and it is ensured that the design is secure and economical.

Description

technical field [0001] The present invention relates to the field of topology optimization design of continuum structures, in particular to a topology optimization method for the reliability of continuum structures under the mixed constraints of displacement and global stress. The effects of stiffness and strength and the formulation of non-probabilistic reliability topology optimization schemes for lower continuum structures based on mixed displacement and global stress constraints. Background technique [0002] With the development of science and technology and productivity, the study of structural optimization design becomes more and more important. According to the range of design variables, structural optimization design can be divided into three levels: section size optimization, geometry optimization and topology layout optimization. Compared with size optimization and shape optimization, structural topology optimization variables have a greater impact on the optimiz...

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Problems solved by technology

At present, the relevant research is not sufficient, and the existing methods are too expensive to calculate, or the safety redundancy is too large, resulting in time cost loss and serious waste of resources

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