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

A topology optimization and interpolation method technology, applied in design optimization/simulation, electrical digital data processing, special data processing applications, etc., to achieve the effect of small calculation, reduced material cost, and simple concept

Active Publication Date: 2016-04-20
JILIN UNIV
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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 p

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

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[0063] The detailed content of the present invention and its specific implementation will be further described below in conjunction with the accompanying drawings.

[0064] see Figure 1 to Figure 12 As shown, the method for implementing structural multi-material topology optimization using the sequence power function interpolation method of the present invention includes the following steps:

[0065] Step 1. Establish a parametric finite element model of the continuum structure:

[0066] Each iteration of structural optimization design requires finite element analysis of the structure. Therefore, finite element modeling is performed on the optimized object first. Divide the continuum structure into a finite element grid, and use the node displacement u in the unit e Construct a displacement interpolation function for the unknown, and derive the element stiffness matrix K according to the principle of minimum potential energy e , and then the element stiffness matrix K e ...

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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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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 左文杰黄科郁聚峰
Owner JILIN UNIV
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