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B-spline high-definition unit level set method for three-dimensional unit structure modeling and topological optimization and computer storage medium

A technology of computer storage and cell structure, applied in the field of topology, can solve problems such as inability to represent volume shapes

Active Publication Date: 2020-05-08
THE HONG KONG UNIV OF SCI & TECH
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Problems solved by technology

As an explicit model, such B-spline trivariates are limited to cuboid topology and cannot represent general volumetric shapes

Method used

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  • B-spline high-definition unit level set method for three-dimensional unit structure modeling and topological optimization and computer storage medium
  • B-spline high-definition unit level set method for three-dimensional unit structure modeling and topological optimization and computer storage medium
  • B-spline high-definition unit level set method for three-dimensional unit structure modeling and topological optimization and computer storage medium

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Embodiment Construction

[0042] A. High-resolution cell level set model

[0043] In classical level set methods, the general three-dimensional structure is represented by a single global level set function, such as figure 1 , where the geometric model of the structure is implicitly obtained by:

[0044]

[0045] where x = {x, y, z} ∈ R 3 Indicates the coordinates of a point in the design domain D; t indicates the pseudo time of the evolution of the level set function; Indicates the boundary of the structure; Ω indicates the material domain of the structure. By using a global level set function, the evolution of structure boundaries is implicitly transformed into an update of the zero curve (for 2D problems) or surface (for 3D problems) of the level set function. In traditional level set methods, the evolution of the level set function is achieved by solving the following Hamilton-Jacobi partial differential equation:

[0046]

[0047] where V=dx / dt, V n is the normal velocity representing ...

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Abstract

The invention provides a B-spline high-definition unit level set method for three-dimensional unit structure modeling and topological optimization and a computer medium. The method comprises the following steps: dividing a global design domain of a target global structure into a plurality of sub-domain units; for each of the plurality of sub-domain units, an implicit B-spline function is used to define a unit level set function for representing a domain of structural material of the sub-domain unit such that the entire set of unit level set functions includes a global level set function acrossthe global design domain.

Description

technical field [0001] The invention relates to the technical field of topology, in particular to a B-spline high-definition unit level set method and a computer storage medium for three-dimensional unit structure modeling and topology optimization. Background technique [0002] Topology optimization is a mathematical and computational method originally developed to optimize the distribution of materials in order to obtain better structural performance of solid structures within a given design domain, objective function, and constraints. After nearly three decades of development, topology optimization has gained considerable popularity and the technique has become a viable and indispensable tool in many fields, such as for lightweight structures, cellular materials and medical implants. The engineering practice of design and optimization of objects. Various modeling and optimization methods have been proposed, ranging from early homogenization methods to the isotropic solid...

Claims

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Application Information

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IPC IPC(8): G06F30/23G06F30/12G06T17/00
CPCG06T17/00G06T17/30G06T15/08G06T2219/2021G06T5/30G06T19/20
Inventor 王煜
Owner THE HONG KONG UNIV OF SCI & TECH
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