Mixed level set method for topological optimization of functional gradient porous structure

A porous structure and functionally gradient technology, applied in design optimization/simulation, special data processing applications, complex mathematical operations, etc., can solve problems such as single distribution form, separation of unit cell configuration design, and difficulty in ensuring the connectivity of porous structures. Achieve the effect of reducing complexity and good scalability

Active Publication Date: 2021-05-07
CHINA THREE GORGES UNIV
View PDF6 Cites 4 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Traditional functionally graded porous structure materials have a single distribution form, which cannot meet the needs of complex engineering environments
Among the optimization design methods for functionally graded porous structures, some optimization methods control the volume fraction of porous structures based on the stress distribution of finite element analysis, which improves the performance of functionally graded porous structures, but cannot achieve the optimal design
[0003] In recent years, it has become a trend to use topology optimization methods to optimize the design of functionally graded porous structures. The macroscopic configuration design of th

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Mixed level set method for topological optimization of functional gradient porous structure
  • Mixed level set method for topological optimization of functional gradient porous structure
  • Mixed level set method for topological optimization of functional gradient porous structure

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0092] see figure 1 , the present invention provides a hybrid level set method for topology optimization of functionally graded porous structures, such as figure 1 As shown, the method includes the following steps:

[0093] S1: Based on two porous structure unit cell configurations, the implicit level set function is used for geometric description, and the mixed level set function of the porous structure is constructed;

[0094] Further, the mixed level set function Φ(x,t) of the porous structure unit cell in the step S1 is defined as follows:

[0095]

[0096] In the formula, the weight coefficient w is a variable about time t, and the value range is 0≤w(t)≤1, x is the space physical coordinate, and is a predefined level set function for the porous structure unit cell.

[0097] S2: Define multiple mixed level set functions in the space coordinate system, each mixed level set function represents a porous structure unit cell;

[0098] More specifically, in the step S2...

Embodiment 2

[0181] Figure 4 As shown, it is a preferred embodiment according to the present invention, the structure is a two-dimensional cantilever beam structure, the length is L, the width is W, and L=2W, all degrees of freedom on the left boundary of the design domain are constrained, and A vertical downward concentrated load divides the design domain into 400×200 four-node planar quadrilateral elements, and each unit cell size is defined as 40×40 four-node planar quadrilateral elements. Figure 5Shown are two kinds of porous structure unit cells defined in this example, and the method provided by the present invention is used for structural topology optimization, and the result shown in Figure 6 is obtained after convergence. The optimized results can prove that the mixed level set method of functionally gradient porous structure topology optimization adopted in this example can obtain a porous structure with a gradient distribution of geometry and function in space, and ensure that...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

The invention discloses a mixed level set method for topological optimization of a functional gradient porous structure, and the method comprises the steps: constructing a mixed level set function through linear weighting of two porous unit cells, and carrying out the space-time decoupling of a Hamilton-Jacobian partial differential equation for controlling the evolution of the level set function; defining a global weight coefficient as a design variable, taking structural rigidity performance as a target function and taking the volume fraction of the porous structure as a constraint condition, and establishing a functional gradient porous structure topological optimization mathematical model based on the mixed level set method. By deducing a sensitivity column formula of a target function and a constraint condition about a design variable, iterative solution of a gradient-based optimization algorithm is carried out, and when an iterative process meets a convergence condition, a porous structure with geometry and functions in gradient distribution in space is obtained. The method provided by the invention can be combined with a mature gradient optimization algorithm, has rigorous mathematical theoretical derivation, can avoid the scale separation problem of the functional gradient porous structure, and improves the continuity between unit cells.

Description

technical field [0001] The invention belongs to the technical field related to digital design, and more specifically relates to a mixed level set method for topology optimization of functionally gradient porous structures. Background technique [0002] Functionally graded porous structure is a porous structure with spatially varying properties. Its mechanical properties show a gradient change along a certain direction, which can meet the mechanical properties that conventional uniform structure materials do not have, such as high mechanical strength and bending resistance. , load-carrying and energy-absorbing characteristics, etc., so it has been widely used in aerospace, bionic design and many other aspects. Traditional functionally graded porous structure materials have a single distribution form, which cannot meet the needs of complex engineering environments. Among the optimization design methods for functionally graded porous structures, some optimization methods contr...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
IPC IPC(8): G06F30/23G06F17/13G06F17/15G06F17/16G06F111/10G06F119/14
CPCG06F17/13G06F17/15G06F17/16G06F30/23G06F2111/10G06F2119/14
Inventor 付君健舒正涛田启华杜义贤周祥曼
Owner CHINA THREE GORGES UNIV
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap