Further results for state space fluid-structure analysis using coupled boundary and finite element analyses

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

In the field of structural-acoustics, there is considerable interest in finding an efficient method for computing fluid-coupled mode shapes, resonance frequencies, and loss factors. The computations are difficult because the acoustic field created by a vibrating structure is generally not a simple function of frequency, making the associated eigenvalue problem nonlinear. A state-space formulation has been used previously to solve structural-acoustic eigenvalue problems for combined finite element / boundary element analyses. In this paper, the formulation is adapted for the software package ARPACK by generalizing the previous results for arbitrary polynomial order and developing simple formulas for the matrix inverse and matrix-vector multiplication required within ARPACK. Using an example problem of a circular cylinder, it is shown that higher order polynomial expansions can actually increase the overall computational efficiency because they allow a wider frequency range to be represented during a single iteration, resulting in fewer subdivisions of the overall frequency range.

Original languageEnglish (US)
Title of host publication13th International Congress on Sound and Vibration 2006, ICSV 2006
Pages2871-2878
Number of pages8
Publication statusPublished - Dec 1 2006
Event13th International Congress on Sound and Vibration 2006, ICSV 2006 - Vienna, Austria
Duration: Jul 2 2006Jul 6 2006

Publication series

Name13th International Congress on Sound and Vibration 2006, ICSV 2006
Volume4

Other

Other13th International Congress on Sound and Vibration 2006, ICSV 2006
CountryAustria
CityVienna
Period7/2/067/6/06

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All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Cite this

Fahnline, J. B. (2006). Further results for state space fluid-structure analysis using coupled boundary and finite element analyses. In 13th International Congress on Sound and Vibration 2006, ICSV 2006 (pp. 2871-2878). (13th International Congress on Sound and Vibration 2006, ICSV 2006; Vol. 4).