A Comparison between Different Topology Optimization Methods.

Document Type : Research Studies

Authors

1 Associate Professor, Prod. Eng. & Mech. Design Dept. Faculty of Eng., Mansoura University, Mansoura, Egypt

2 Professor, Prod. Eng. & Mech. Design Dept. Faculty of Eng., Mansoura University, Mansoura, Egypt

3 Demonstrator, Prod. Eng. & Mech. Design Dept. Faculty of Eng., Mansoura University, Mansoura, Egypt

Abstract

Topology optimization approach is considered among the most interesting fields of structural optimization. In this paper topology optimization for compliance minimization using method of moving asymptotes MMA is presented. This method is considered as a general and flexible optimization method, where it can handle any kind of objective function and any number of constraints. The effect of changing the lower and upper asymptotes on the optimization process convergence is studied for seeking the demanded convergence with more stability and minimum time as possible. Topology optimization of different models such as a cantilever beam and simply supported beam for two and three dimensional structure is accomplished. Also a comparison between Method of Moving Asymptotes (MMA) and different methods such as Sequential Quadratic Programming (SQP), Optimality Criteria (OC), and Hybrid Cellular Automata (HCA) is accomplished according to the compliance value, time consumed and the resulted topological shape.

Main Subjects