The structural topology optimisation based on parameterised level-set method in isogeometric analysis (Q2224211)

Summary: The isogeometric analysis (IGA), which establishes a bridge between CAD and CAE, offers a new convenient framework of optimisation. This article develops an approach to apply the non-uniform rational basis splines (NURBS)-based IGA to the topology optimisation using parameterised level set method. Here, the objective function is evaluated according to the basis function of NURBS and the level set function is constructed through collocation points using the compactly supported radial basis function. To evaluate the equivalent strain energy for each element, the level-set function value of every node is calculated from the corresponding value of collocation points. We have compared the numerical result accuracy as well as the time cost of the proposed method, and it turns out to be very promising.