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Structural and Multidisciplinary Optimization

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01.01.2012 | Research Paper

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

verfasst von: Juan Zheng, Shuyao Long, Guangyao Li

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2012

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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.

Vorheriger Artikel pyOpt: a Python-based object-oriented framework for nonlinear constrained optimization

Nächster Artikel Dynamic substructuring and reanalysis methods in a surrogate-based design optimization environment

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Titel: Topology optimization of free vibrating continuum structures based on the element free Galerkin method
verfasst von: Juan Zheng
Shuyao Long
Guangyao Li
Publikationsdatum: 01.01.2012
Verlag: Springer-Verlag
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 1/2012
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-011-0667-2

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