Abstract
This paper research the topological optimization based on level set method which based on the reaction diffusion equation. The paper propose a Level set topological optimization method which put the compliance as the objective function and take the volume as the main constraint, the element stress as the auxiliary constraint to regulate the volume constraint. This method not only can significantly speed up the optimization process, but can improve the precision of calculation and ensure the stability of the results when meet the stress constraint. Eventually, the proposed method can convenient the level set topological optimization to apply in engineering practice.
Highlights
At present, continuous structure topological optimization has become an important research field of engineering application
G etc proposed a topological optimization method of continuous structure, which combine the displacement method with the analysis of stress sensitivity [5]
ICM method is proposed to solve the problem of topological optimization that Plate and shell with stress constrains by X
Summary
Continuous structure topological optimization has become an important research field of engineering application. The principle of level set method is simple and clear, which won't appear the phenomenon of checkerboard, mesh dependence. That, this method has a good development prospect. The reaction diffusion equation was introduced to solve the level set function method for structural topological optimization by Masaki Otomori [2]. X.Gu introduces some methods of stress to solve the Structural numerical optimization problem [4]. G etc proposed a topological optimization method of continuous structure, which combine the displacement method with the analysis of stress sensitivity [5]. ICM method is proposed to solve the problem of topological optimization that Plate and shell with stress constrains by X.
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