A numerical procedure is suggested for efficient optimization of large dynamic systems. The method is based on Pad´e approximants that give a remarkably accurate approximation of the vibration response for large ranges of frequencies at low computational cost. Analytical expressions for the design sensitivities are derived by an adjoint method making the method well suited for large number of design variables. The method is illustrated by a topology optimization example for an elastic body subjected to a time-harmonic load. The distribution of two material phases is optimized in order to reduce the vibration response in a single point for a range of frequencies.
|Title of host publication||3rd European Conference on Computational Mechanics : Solids, Structures and Coupled Problems in Engineering|
|Publication status||Published - 2006|
|Event||3rd European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering - Lissabon, Portugal|
Duration: 5 Jun 2006 → 8 Jun 2006
Conference number: 3
|Conference||3rd European Conference on Computational Mechanics|
|Period||05/06/2006 → 08/06/2006|