Topology optimization of free vibrating continuum structures based on the element free Galerkin method

Topology optimization of free vibrating continuum structures based on the element free Galerkin method

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Article ID: iaor2012342
Volume: 45
Issue: 1
Start Page Number: 119
End Page Number: 127
Publication Date: Jan 2012
Journal: Structural and Multidisciplinary Optimization
Authors: , ,
Keywords: design, programming: mathematical
Abstract:

In this paper, the topology optimization design of the free vibrating continuum structures is formulated based on the element free Galerkin (EFG) method. Considering the relative density of nodes as design variable, and the maximization of the fundamental eigenvalue as an objective function, the mathematical formulation of the topology optimization model is developed using the solid isotropic microstructures with penalization (SIMP) interpolation scheme. The topology optimization problem is solved by the optimality criteria method. Finally, the feasibility and efficiency of the proposed method are illustrated with several 2D examples that are widely used in the topology optimization design.

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