The finite element duct eigenvalue problem: An improved formulation with Hermitian elements and no-flow condensation


Astley, R.J. and Eversman, W. (1980) The finite element duct eigenvalue problem: An improved formulation with Hermitian elements and no-flow condensation. Journal of Sound and Vibration, 69, (1), 13-25. (doi:10.1016/0022-460X(80)90431-9).

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Description/Abstract

Hermitian elements are used in a finite element solution for the eigenvalue problem in lined ducts with flow. These elements give significantly greater accuracy for reduced dimensionality when compared with Lagrangian elements. Spurious mode generation associated with the Lagrangian formulation is eliminated. A dramatic improvement in the ratio of the number of reliable eigenvalues to the total number of computed eigenvalues is effected by the use of a condensation scheme based on the no-flow eigenvectors. Results are presented for two dimensional and axisymmetric ducts. In the axisymmetric case good resolution is obtained even for high order, high frequency modes by the use of continuously graded meshes.

Item Type: Article
ISSNs: 0022-460X (print)
1095-8568 (electronic)
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Fluid Dynamics and Acoustics
ePrint ID: 166455
Date Deposited: 29 Oct 2010 10:14
Last Modified: 27 Mar 2014 19:18
URI: http://eprints.soton.ac.uk/id/eprint/166455

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