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Topology optimization using a natural neighbour meshless method combined with a bi-directional evolutionary algorithm

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  • Gonçalves, D.C.
  • Lopes, J.D.F.
  • Campilho, R.D.S.G.
  • Belinha, J.

Abstract

Due to recent developments in the additive manufacturing industry, topology optimization is nowadays a powerful computational tool that allows to design feasible lightweight components. Although the Finite Element Method (FEM) is the most applied discretization technique, meshless methods are currently established as accurate numerical methods with relevant advantages in several engineering fields. Nonetheless, the state-of-the-art of meshless methods in topology optimization is still scarce. This work develops the combination of a bi-direction structural optimization (BESO) algorithm with the Natural Neighbour Radial Point Interpolation Method (NNRPIM), a meshless method combining the natural neighbours geometric concept with the RPI shape functions. First, several benchmark examples are solved to evaluate the algorithm capability under several algorithm parameters. The proposed methodology is then implemented to design new automotive lightweight components. The results from the numerical applications demonstrate that the NNRPIM is a solid technique to be incorporated in optimization algorithms. Additionally, innovative automotive industry designs for additive manufacturing can be obtained using the presented approach.

Suggested Citation

  • Gonçalves, D.C. & Lopes, J.D.F. & Campilho, R.D.S.G. & Belinha, J., 2022. "Topology optimization using a natural neighbour meshless method combined with a bi-directional evolutionary algorithm," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 308-328.
    • Handle: RePEc:eee:matcom:v:194:y:2022:i:c:p:308-328
    DOI: 10.1016/j.matcom.2021.11.021
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    References listed on IDEAS

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    1. Zervas, Efthimios & Lazarou, Christos, 2008. "Influence of European passenger cars weight to exhaust CO2 emissions," Energy Policy, Elsevier, vol. 36(1), pages 248-257, January.
    2. Cuenot, François, 2009. "CO2 emissions from new cars and vehicle weight in Europe; How the EU regulation could have been avoided and how to reach it?," Energy Policy, Elsevier, vol. 37(10), pages 3832-3842, October.
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