scholarly journals Linear and nonlinear topology optimization design with projection‐based ground structure method (P‐GSM)

2020 ◽  
Vol 121 (11) ◽  
pp. 2437-2461 ◽  
Author(s):  
Hao Deng ◽  
Albert C. To
Keyword(s):  
Topology Optimization ◽  
Optimization Design ◽  
Ground Structure ◽  
Ground Structure Method ◽  
Nonlinear Topology Optimization ◽  
Linear And Nonlinear

Topology Optimization for Stiffened Panels: A Ground Structure Method

2021 ◽  
Author(s):  
Jean-Francois Gamache ◽  
Aurelian Vadean ◽  
Nicolas Dodane ◽  
Sofiane Achiche
Keyword(s):  
Topology Optimization ◽  
Ground Structure ◽  
Stiffened Panels ◽  
Ground Structure Method

Topology optimization of planar truss structures with continuous element intersection and node stability constraints

2011 ◽  
Vol 226 (7) ◽  
pp. 1821-1831 ◽  
Author(s):  
Guojun Leng ◽  
Baoyan Duan
Keyword(s):  
Topology Optimization ◽  
Truss Structures ◽  
Mixed Integer ◽  
Heaviside Function ◽  
Test Cases ◽  
Ground Structure ◽  
Nonlinear Formulation ◽  
Cross Sectional ◽  
Ground Structure Method ◽  
Design Variables

This article presents a general nonlinear formulation for the topology optimization of planar truss structures. The novelty of this article is that element intersection is described in terms of a continuous intersection factor. The Heaviside function is used to map the element cross-sectional area to intersection properties. Therefore, the intersection feature is described by a continuous and differentiable function. The topology optimization model is hence set as a ground-structure method by simultaneously including constraints on element intersection and cinematic stability of nodes. The latter is also described by a continuous function. Three test cases are presented to demonstrate the validity of the proposed approach. Unlike mixed integer programming, the number of design cycles does not change much as the number of design variables increases.

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