|Table of Contents|

Topology Optimization of Continuum Structure Based on Level Set Method(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2007年01期
Page:
74-79
Research Field:
Publishing date:
2007-03-20

Info

Title:
Topology Optimization of Continuum Structure Based on Level Set Method
Author(s):
REN Xiao-hui;  FENG Jian-hu
School of Science, Chang'an University, Xi'an 710064, Shaanxi, China
Keywords:
topology optimization;  level set method;  finite element method;  optimization criteria method;  topological derivative
PACS:
TU311
DOI:
-
Abstract:
A topology optimization approach of continuum structure based on level set method was proposed. The objective function of the problem is the minimum compliance of the structure, and the constraint condition is the material volume. A finite element method and optimization criteria method were incorporated to solve the problem. Compared with solid isotropic material with penalization(SIMP), smooth structural boundaries could be obtained by the approach without zigzag boundaries. The computational efficiency could be saved without solving the complicated Hamilton-Jacobi equation, which was used in traditional level set method. On the process of regularizing the Heaviside function, the information of the shape derivative and the topological derivative of the optimal design were considered. Convergence velocity was accelerated. By using the method, topology optimization design for the beam was tried to calculate, and the satisfactory optimization results were obtained.

References:

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Last Update: 2007-03-20