Abstract

This paper presents a combination method of Particle Swarm Optimization (PSO) and topology optimization. With this method a better result can be achieved compared with the sequential application of these two optimization methods. It inherits the ability in finding global optimum from PSO and also suits for discretized design domain. Some special schemes are used in order to provide higher computation efficiency. This method has only been tested with a convex optimization problem. The application in case of a concave problem will be a future study.

Highlights

  • Parameter optimization and topology optimization are two powerful tools in mechanical design, which affect remarkably the shape and the performance of a structure

  • The general size of a structure, which is usually regarded as a design domain in topology optimization, is always changed due to the parameter optimization

  • The finite element method (FEM) is a numerical method that divides a domain into small connected sub-domains, such that differential equations can be solved by solving a set of polynomial equations

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Summary

Introduction

Parameter optimization and topology optimization are two powerful tools in mechanical design, which affect remarkably the shape and the performance of a structure. The structure is often parameter-optimized firstly, and topology-optimized. The general size of a structure, which is usually regarded as a design domain in topology optimization, is always changed due to the parameter optimization. An efficient method of combined optimization is presented. It executes the parameter optimization with continuous or discretized variables and the topology optimization simultaneously, and achieves a better result than the sequential optimization. (2014) Efficient Combination of Topology and Parameter Optimization.

Finite Element Method
Topology Optimization
Parameter Optimization
Problem Setting
Implementation of Combination Method
Passive Element Method
Unified Penalization Factor
Simplified Convergence Condition
Test Results
Conclusion

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