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

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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 Sep 201312 Sep 2013
Conference number: 11

Conference

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

Cite this

Pedersen, P., & Pedersen, N. L. (2013). Structural eigenfrequency optimization based on local sub-domain "frequencies". In Z. Dimitrovova (Ed.), 11th International Conference on Vibration Problems