2016, Volume 11, Issue 4
Frontiers of Mechanical Engineering >> 2016, Volume 11, Issue 4 doi: 10.1007/s11465-016-0403-0
Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements
1. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510641, China; Department of Mechanical Engineering, McGill University, Montreal H3A0C3, Canada.
2. Department of Structural Engineering, University of California, San Diego 92093, USA
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Abstract
In this paper, an approach based on the fast point-in-polygon (PIP) algorithm and trimmed elements is proposed for isogeometric topology optimization (TO) with arbitrary geometric constraints. The isogeometric parameterized level-set-based TO method, which directly uses the non-uniform rational basis splines (NURBS) for both level set function (LSF) parameterization and objective function calculation, provides higher accuracy and efficiency than previous methods. The integration of trimmed elements is completed by the efficient quadrature rule that can design the quadrature points and weights for arbitrary geometric shape. Numerical examples demonstrate the efficiency and flexibility of the method.
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