Multivariable cutting level set optimization method for porous structure topological optimization

A technology of porous structure and topology optimization, applied in design optimization/simulation, special data processing applications, etc., can solve the problem that porous structures with complex geometric structures cannot be effectively processed, and achieve the effect of expanding the degree of freedom of design

Pending Publication Date: 2020-11-24
HUAZHONG UNIV OF SCI & TECH
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Problems solved by technology

[0007] The invention provides a multi-variable cutting level set optimization method for topology optimization of porous structures

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  • Multivariable cutting level set optimization method for porous structure topological optimization
  • Multivariable cutting level set optimization method for porous structure topological optimization
  • Multivariable cutting level set optimization method for porous structure topological optimization

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Embodiment 1

[0049] A multivariate cutting level set optimization method for topology optimization of porous structures, such as figure 1 shown, including:

[0050] Define the reference domain D containing the porous structure Ω, and divide D into M quadrilateral units D k , k=1...M; and define the four microstructure prototypes in the square cell Q according to the level set method;

[0051] for D k Define a bilinear coordinate map, map all nodes in Q, and get D k The fine grid nodes of , the basic level set function on the nodes in Q The value assigned to D k on the corresponding node, get D k basic level set function The mapping construction, and then get the quadrilateral unit D k Microstructural prototype in ; for D k Each node of defines a higher-order shape function, in D k The value of the cutting function at any point x in Obtained by the weighted sum of shape functions, when the height variables of all units are assembled into a column vector, a global height vector ...

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Abstract

The invention belongs to the field of structural design topology optimization, and particularly discloses a multivariable cutting level set optimization method for porous structure topology optimization, which comprises the following steps: dividing a design reference domain into M units; describing a microstructure in each unit by using a plurality of basic level set functions and segmentation functions thereof, and performing cutting by using a cutting function to realize shape and topological change of the microstructure; obtaining post-cutting operation, a plurality of virtual microstructures in each unit; combining the components together through Boolean operation; generating actual microstructures; according to the method, a microstructure prototype is mapped from a square grid to aquadrilateral grid; meanwhile, a higher-order cutting function is adopted, the porous structure with a more complex geometric structure can be processed more flexibly, and the problems that in engineering practical application, the macroscopic shape of the porous structure is highly irregular, square grid division cannot be used, a bilinear interpolation function geometric model is not flexible enough, and the porous structure cannot be described well are solved.

Description

technical field [0001] The invention belongs to the field of structure design topology optimization, and more specifically relates to a multivariable cutting level set optimization method for porous structure topology optimization. Background technique [0002] With the advent of additive manufacturing, porous structures have been increasingly recognized in practical engineering applications. In order to obtain excellent structural properties, topology optimization of microporous structures requires not only optimizing the macroscale of the structure, but also optimizing a large number of microstructures at different locations in the structure. This is an important topic in structural topology optimization. [0003] A lot of work has been done to optimize the topology of microstructures. The homogenization-based method subdivides the microstructure design domain specified by the designer (such as a solid square with rectangular holes), and searches for different optimal si...

Claims

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Application Information

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IPC IPC(8): G06F30/23
CPCG06F30/23
Inventor 夏奇刘辉宗子豪史铁林
Owner HUAZHONG UNIV OF SCI & TECH
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