The finite element duct eigenvalue problem: An improved formulation with Hermitian elements and no-flow condensation
The finite element duct eigenvalue problem: An improved formulation with Hermitian elements and no-flow condensation
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.
13-25
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Eversman, W.
a48e519b-a759-4b3b-b81f-b987d216d027
8 March 1980
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Eversman, W.
a48e519b-a759-4b3b-b81f-b987d216d027
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), .
(doi:10.1016/0022-460X(80)90431-9).
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.
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Published date: 8 March 1980
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Local EPrints ID: 166455
URI: http://eprints.soton.ac.uk/id/eprint/166455
ISSN: 0022-460X
PURE UUID: 5cc5db2f-57f4-4abf-820c-09661744e6e4
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Date deposited: 29 Oct 2010 10:14
Last modified: 14 Mar 2024 02:13
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W. Eversman
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