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Abstract of the Article

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A level set method for structural shape and topology optimization using radial basis functions

Authors:

[ Mojtaba Mohamadian ] - Dep. of civil engineering, Kerman Graduated University of Technology, Mahan, Kerman, Iran
[ Saeed Shojaee ] - Dep. of civil engineering, Shahid Bahonar University, Kerman, Iran

Abstract:

In this paper, the conventional level set method is extended as an effective approach for shape and topology optimization by the introduction of the radial basis functions (RBFs). We apply the RBFs to represent the implicit level set modeling to reconstruct the shape and topology of an admissible design in a parametric way. This scheme converts the original PDE based level set method into a set of much easier ODE system and makes the level set method more efficient to implement. Numerical examples show the convergence speed and insensitivity to initial designs of proposed method in shape and topology optimization of 2D problems.

Keywords:

level set method, radial basis functions, topology optimization