Method of continuum structure non-probabilistic reliability topological optimization under mixed constraints of displacements and stresses

Abstract

The invention discloses a method of continuum structure non-probabilistic reliability topological optimization under the mixed constraints of displacements and stresses. According to the method, first, a continuum structure non-probabilistic reliability topological optimization model with weight lowering as an optimization objective is established; then, the vertex combination method is utilized to obtain upper and lower bounds of displacements and stresses, and thus corresponding reliability indexes are obtained; next, the non-probabilistic reliability indexes are replaced by utilizing optimization characteristic displacements so as to improve the convergency of problems, and the sensitivity of the optimization characteristic displacements to design variables is solved by utilizing the adjoint vector method and the compound function derivation law; finally, the design variables are updated with the method of moving asymptotes, repeated iteration is conducted until corresponding convergency conditions are met, and the optimal design scheme meeting reliability constraints is obtained. During the optimization design process, the comprehensive influence of uncertainty on the continuum structure property is reasonably represented, weight lowering can be effectively achieved, and it is guaranteed that the design itself gives consideration to both safety and economy.

Description

technical field [0001] The present invention relates to the field of topology optimization design of continuum structures, in particular to consideration of the influence of material properties and uncertainty of load environment on the rigidity and strength of structures and the design of continuum structures under the constraints of non-probabilistic reliability indexes based on displacement and stress Not sure about the formulation of the topology optimization scheme. Background technique [0002] With the increasing development of science and technology and productivity, the tentacles of human beings extending into space and ocean are constantly extending, and the scope of structural optimization research is becoming wider and wider. Due to limited resources, fierce competition in engineering technology and the need to protect the environment, structural optimization design has become more and more important. Structural optimization design is divided into three levels: ...

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Problems solved by technology

At present, the relevant research work is still immature, and the topology optimization design scheme of the existing continuum structure often cannot strictly meet the required application requirements, or the safety redundancy is too large, resulting in serious waste of resources and time cost

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