Topology optimization of dynamics problems with Padé approximants
- 10 April 2007
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 72 (13) , 1605-1630
Abstract
An efficient procedure for topology optimization of dynamics problems is proposed. The method is based on frequency responses represented by Padé 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 © 2007 John Wiley & Sons, Ltd.Keywords
This publication has 21 references indexed in Scilit:
- Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguideJournal of the Optical Society of America B, 2005
- Optimization of microwave devices using 3-D finite elements and the design sensitivity of the frequency responseIEEE Transactions on Magnetics, 2003
- Design sensitivity of frequency response in 3-D finite-element analysis of microwave devicesIEEE Transactions on Magnetics, 2002
- TOPOLOGY DESIGN OF STRUCTURES SUBJECTED TO PERIODIC LOADINGJournal of Sound and Vibration, 2002
- Topology optimization of resonating structures using SIMP methodInternational Journal for Numerical Methods in Engineering, 2002
- A Fast Method for Solving Acoustic Scattering Problems in Frequency BandsJournal of Computational Physics, 2001
- Efficient Computation of Multi-Frequency Far-Field Solutions of the Helmholtz Equation Using Padé ApproximationJournal of Computational Acoustics, 2000
- AWE implementation for electromagnetic FEM analysisElectronics Letters, 1996
- Design sensitivity analysis: Overview and reviewInverse Problems in Engineering, 1994
- The method of moving asymptotes—a new method for structural optimizationInternational Journal for Numerical Methods in Engineering, 1987