A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method

Density variables based on nodal or Gaussian points are naturally incorporated in meshless topology optimization approaches, pursuing distinct topological layouts with solid and void solutions. However, engineering applications have been hampered by the fact that the authentic structure boundary can...

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Bibliographic Details
Published in:Computation Vol. 13; no. 1; p. 6
Main Authors: Huang, Jingbo, Long, Kai, Chen, Yutang, Geng, Rongrong, Saeed, Ayesha, Zhang, Hui, Tao, Tao
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.01.2025
Subjects:
Algebraic topology
Approximation
Boundary conditions
element-free Galerkin
Equilibrium
Finite element method
Mathematical optimization
meshless method
Meshless methods
Metal forming
Methods
non-penalization scheme
Normal distribution
Optimization
SEMDOT
Structural analysis (Engineering)
Topology
Topology optimization
Variables
China
ISSN:2079-3197, 2079-3197
Online Access:Get full text
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Summary:Density variables based on nodal or Gaussian points are naturally incorporated in meshless topology optimization approaches, pursuing distinct topological layouts with solid and void solutions. However, engineering applications have been hampered by the fact that the authentic structure boundary cannot be identified without manual intervention. To alleviate this issue, the Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT) method is developed within the context of meshless approximation. In meshless analysis, the non-overlap cell variables instead of nodal or Gaussian-based variables are adopted to characterize the existence or absence of sub-regions. This work proposes a non-penalized SEMDOT where an interpolation-based heuristic sensitivity expression is utilized. The 2D and 3D compliance minimization problems serve to validate the efficiency and applicability of the proposed non-penalized SEMDOT approach based on the framework of the meshless method. The numerical results demonstrated that the proposed approach is capable of generating final designs with continuous and smooth edges or surfaces.
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ISSN:2079-3197
2079-3197
DOI:10.3390/computation13010006