Shape optimization by particle swarm algorithm utilizing isogeometric analysis

Abstract eng:
The present paper describes the application of the particle swarm optimization (PSO) to the shape optimization of two-dimensional domains described by NURBS (non-uniform rational B-splines) and analyzed by the NURBS-based Isogeometric analysis (IGA). The regularization of the optimization problem, preventing undesirable clustering of control points of the underlying geometry leading to invalid geometry or parametrization, is achieved by controlling the magnitude of perturbation of design variables within the Particle Swarm Optimization (PSO) method using a background mesh produced by Matlab Distmesh tool. The capabilities and performance of the developed optimization strategy are demonstrated on a standard benchmark problem.

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