scholarly journals Robust Topology Optimization: A New Algorithm for Volume-constrained Expected Compliance Minimization with Probabilistic Loading Directions using Exact Analytical Objective and Gradient

2016 ◽  
Author(s):  
Anikó Csébfalvi
Keyword(s):  
Topology Optimization ◽  
Robust Topology Optimization ◽  
Compliance Minimization ◽  
Probabilistic Loading ◽  
Expected Compliance

A robust topology optimization for enlarging working bandwidth of acoustic devices

2021 ◽  
Author(s):  
Jincheng Qin ◽  
Hiroshi Isakari ◽  
Kouichi Taji ◽  
Toru Takahashi ◽  
Toshiro Matsumoto
Keyword(s):  
Topology Optimization ◽  
Robust Topology Optimization

Numerical Experiments in Using Voronoi Cell Finite Elements for Topology Optimization

2009 ◽  
Author(s):  
James M. Gibert ◽  
Georges M. Fadel
Keyword(s):  
Topology Optimization ◽  
Isotropic Material ◽  
Numerical Experiments ◽  
Voronoi Cell ◽  
Material Model ◽  
Topological Optimization ◽  
Advantages And Disadvantages ◽  
Compliance Minimization ◽  
Design Variables ◽  
Standard Linear

This paper provides two separate methodologies for implementing the Voronoi Cell Finite Element Method (VCFEM) in topological optimization. Both exploit two characteristics of VCFEM. The first approach utilizes the property that a hole or inclusion can be placed in the element: the design variables for the topology optimization are sizes of the hole. In the second approach, we note that VCFEM may mesh the design domain as n sided polygons. We restrict our attention to hexagonal meshes of the domain while applying Solid Isotropic Material Penalization (SIMP) material model. Researchers have shown that hexagonal meshes are not subject to the checker boarding problem commonly associated with standard linear quad and triangle elements. We present several examples to illustrate the efficacy of the methods in compliance minimization as well as discuss the advantages and disadvantages of each method.

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