Efficient Optimization of Dynamic Systems Using Pade Approximants

Jakob Søndergaard Jensen (Invited author)

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    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.
    Original languageEnglish
    Title of host publication3rd European Conference on Computational Mechanics : Solids, Structures and Coupled Problems in Engineering
    VolumeCD-rom
    Publication date2006
    Publication statusPublished - 2006
    Event3rd European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering - Lissabon, Portugal
    Duration: 5 Jun 20068 Jun 2006
    Conference number: 3

    Conference

    Conference3rd European Conference on Computational Mechanics
    Number3
    Country/TerritoryPortugal
    CityLissabon
    Period05/06/200608/06/2006

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