Topology optimization of dynamics problems with Padé approximants

An efficient procedure for topology optimization of dynamics problems is proposed. The method is based on frequency responses represented by Pad´e approximants and analytical sensitivity analysis derived using the adjoint method. This gives an accurate approximation of the frequency response over wide frequency ranges and a formulation that allows for design sensitivities to be computed at low computational cost also for a large number of design variables. Two examples that deal with optimization of forced vibrations are included. Copyright q 2007 John Wiley & Sons, Ltd