analytic in a neighborhood of infinity will be approximated by Pade approximants. In a first group of results rather strong assumptions are made about the singularities of the function f to be approximated (Assumption 1.1). In a second group (Definition 1.3 and Theorem 1.7) a different type of assum
Topology optimization of dynamics problems with Padé approximants
✍ Scribed by Jakob S. Jensen
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 337 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2065
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
Psdd approximnnts are applied to improve the convergence of various perturbation expansrons for the enemy of n groundstate hydrogen atom intemcting with ;t proton. It is observed that the convergence defects of the Rayleigh-Schrodiager (RS) polarization and g mmetrized RS polarization expansions nre