Structural eigenfrequency optimization based on local sub-domain "frequencies"

Pauli Pedersen, Niels Leergaard Pedersen

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

    Abstract

    The engineering approach of fully stressed design is a practical tool with a theoretical foundation. The analog approach to structural eigenfrequency optimization is presented here with its theoretical foundation. A numerical redesign procedure is proposed and illustrated with examples.For the ideal case, an optimality criterion is fulfilled if the design have the same sub-domain ”frequency” (local Rayleigh quotient). Sensitivity analysis shows an important relation between squared system eigenfrequency and squared local sub-domain frequency for a given eigenmode. Higher order eigenfrequencies may also be controlled in this manner.The presented examples are based on 2D finite element models with the use of subspace iteration for analysis and a recursive design procedure based on the derived optimality condition. The design that maximize a frequency depend on the total amount of available material and on a necessary interpolation as illustrated by different design cases.
    Original languageEnglish
    Title of host publication11th International Conference on Vibration Problems
    EditorsZ. Dimitrovova
    Number of pages11
    Publication date2013
    Publication statusPublished - 2013
    Event11th International Conference on Vibration Problems - Lisbon, Portugal
    Duration: 9 Sept 201312 Sept 2013
    Conference number: 11

    Conference

    Conference11th International Conference on Vibration Problems
    Number11
    Country/TerritoryPortugal
    CityLisbon
    Period09/09/201312/09/2013

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