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Topology-optimization of Structures Based on the MLPG Mixed Collocation Method

Shu Li1, S. N. Atluri2
Department of Aircraft Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, P.R. China
Center for Aerospace Research & Education, University of California, Irvine, USA

Computer Modeling in Engineering & Sciences 2008, 26(1), 61-74.


The Meshless Local Petrov-Galerkin (MLPG) "mixed collocation'' method is applied to the problem of topology-optimization of elastic structures. In this paper, the topic of compliance minimization of elastic structures is pursued, and nodal design variables which represent nodal volume fractions at discretized nodes are adopted. A so-called nodal sensitivity filter is employed, to prevent the phenomenon of checkerboarding in numerical solutions to the topology-optimization problems. The example results presented in the paper demonstrate the suitability and versatility of the MLPG "mixed collocation'' method, in implementing structural topology-optimization.


topology optimization, meshless method, MLPG, collocation, mixed method

Cite This Article

Li, S., Atluri, S. N. (2008). Topology-optimization of Structures Based on the MLPG Mixed Collocation Method. CMES-Computer Modeling in Engineering & Sciences, 26(1), 61–74.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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