Multiphase material topological optimization design method and system considering structural stability

Abstract

The invention discloses a multi-phase material topological optimization design method and system considering structural stability, and belongs to the field of multi-phase material topological optimization design. According to the method, the multi-phase material is generated by adopting a level set method, so that a structure optimization result with a smooth boundary can be obtained, the number of design variables and constraints is reduced, and the purposes of reducing the complexity of buckling analysis and improving the optimization solution efficiency can be achieved; a global radial basis function GSRBF is introduced to perform interpolation on a level set function, and the numerical defects that in the optimization process, reinitialization is needed, speed expansion and iteration step length need to meet the CFL condition of an upwind difference scheme, and the algorithm cannot be combined with many mature optimization algorithms are overcome; and the topological optimization design of the multiphase material considering the structural stability is realized.

Description

technical field [0001] The invention belongs to the field of multiphase material topology optimization design, and more specifically relates to a multiphase material topology optimization design method and system considering structural stability. Background technique [0002] Under the action of compressive load, there are usually two main failure modes of mechanical structural components: material failure or instability and structural instability. The instability of the structure is also commonly referred to as the structural buckling phenomenon, that is, if the strength limit of the structure is not exceeded, the structure will also be deformed due to buckling, resulting in instability and failure. The problem of structural instability can be mainly divided into two situations: linear buckling analysis and nonlinear buckling analysis. The nonlinear buckling analysis is generally used in structural topology optimization because of its relatively accurate calculation results...

AI Technical Summary

Problems solved by technology

The existing research on the stability design of multiphase material structures, due to the large number of design variables and optimization constraints, makes the buckling analysis of multiphase material structures more complicated and the solution efficiency is low

Moreover, the current multi-material stability research is based on the density method. Using this method, there will be a large number of gray-scale units on the boundary of the structure after topology optimization, resulting in blurred boundaries of the optimized multi-material structure.

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