Method for achieving multi-material topological optimization of structure by adopting sequence power function interpolation method

Abstract

The invention relates to a method for achieving multi-material topological optimization of a structure by adopting a sequence power function interpolation method, and belongs to the field of engineering structure optimization design. The method comprises the steps that a parameterized finite element model of a continuum structure is established; a multi-material topological optimization mathematical model is established on the basis of the finite element model; a sequence power function interpolation model of unit elastic moduli and material costs which take the density as the independent variable is established; sensitivity information responded by an objective function, the elastic moduli, a mass function, a cost function and unit material costs is obtained; an optimization rule is educed according to the Kuhn-Tucker condition. Compared with an existing multi-material topological optimization method, according to the sequence power function interpolation method, a topological structure which is high in rigidity, low in cost and light in weight can be obtained only through a small amount of calculation, and the calculation amount has nothing to do with the number of considered material types. In addition, the material cost constraint is also considered, the finally obtained structure is large in rigidity and light in mass, and the material cost is not increased.

Description

technical field [0001] The invention relates to the field of engineering structure optimization design, in particular to a method for implementing structural multi-material topology optimization using a sequential power function interpolation method, which is a sequential power function interpolation for solving structural multi-material topology optimization problems constrained by quality and material costs method. Background technique [0002] In order to obtain the optimal structure that meets the performance requirements in the conceptual design stage, the structural multi-material topology optimization has been intensively studied, and the homogenization method has been widely used. However, the existing multi-material topology optimization methods have a large amount of calculation, and there are too many design variables to meet the engineering application; at the same time, these methods do not consider the constraints of material costs. Contents of the invention ...

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Problems solved by technology

[0003] The purpose of the present invention is to provide a method for implementing structural multi-material topology optimization using a sequence power function interpolation method, which solves the above-mentioned problems in the prior art, and proposes a sequence power function interpolation method to deal with multi-material discrete variable structure topology optimization problems, Does not introduce redundant design variables

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