Geometrically constrained isogeometric parameterizedlevel-set based topology optimization via trimmed elements

摘要

In this paper, an approach based on the fastpoint-in-polygon （PIP） algorithm and trimmed elements isproposed for isogeometric topology optimization （TO）with arbitrary geometric constraints. The isogeometricparameterized level-set-based TO method, which directlyuses the non-uniform rational basis splines （NURBS） forboth level set function （LSF） parameterization andobjective function calculation, provides higher accuracyand efficiency than previous methods. The integration oftrimmed elements is completed by the efficient quadraturerole that can design the quadrature points and weights forarbitrary geometric shape. Numerical examples demon-strate the efficiency and flexibility of the method.