Topology optimization design of continuum structures under stress and displacement constraints

2000 ◽  
Vol 21 (1) ◽  
pp. 19-26 ◽  
Author(s):  
Yang Deqing ◽  
Sui Yunkang ◽  
Liu Zhengxing ◽  
Sun Huanchun
Keyword(s):  
Topology Optimization ◽  
Optimization Design ◽  
Continuum Structures ◽  
Displacement Constraints

Topology Optimization of Continuum Structures Based on SIMP

2011 ◽  
Vol 255-260 ◽  
pp. 14-19 ◽  
Author(s):  
Hong Zhang ◽  
Xiao Hui Ren
Keyword(s):  
Mathematical Model ◽  
Topology Optimization ◽  
Isotropic Material ◽  
Optimization Design ◽  
Optimality Criteria ◽  
Continuum Structures ◽  
Good Convergence ◽  
Minimum Compliance ◽  
Design Variables ◽  
Optimality Criteria Method

An Optimality Criteria method for topology optimization of continuum structures based on Solid Isotropic Material with Penalization (SIMP) was proposed. The minimum compliance of structures was selected as the objective function of the problem. A mathematical model for topology optimization design of statically loaded structures and the update scheme for the design variables were set. The examples showed that the algorithm has good convergence and application values.

An Adaptive Weighting Strategy for Multi-Load Topology Optimization

2012 ◽  
Author(s):  
Krishnan Suresh ◽  
Anand Ramani ◽  
Anshul Kaushik
Keyword(s):  
Topology Optimization ◽  
Numerical Experiments ◽  
Topological Sensitivity ◽  
Maximum Displacement ◽  
Weighting Functions ◽  
Continuum Structures ◽  
Multiple Loads ◽  
Weighting Strategy ◽  
Pareto Method ◽  
Displacement Constraints

In this paper, we consider topology optimization of continuum structures subject to multiple loads. The objective is to minimize mass, while satisfying maximum displacement constraints at the points of load-application. The classic method of including displacement constraints is through penalization of the objective function. Here, we propose an alternate method that relies on the concept of topological sensitivity. The proposed method generalizes the recently proposed single-load PareTO method by the first author. For multi-load problems, the topological sensitivity fields for each of the load-cases are computed, and then combined through weighting functions that continuously adapt to satisfy the constraints. Different weighting functions are considered, and compared through numerical experiments.

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