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Application of the spectral finite element method to turbulent boundary layer induced vibration of plates

Application of the spectral finite element method to turbulent boundary layer induced vibration of plates
Application of the spectral finite element method to turbulent boundary layer induced vibration of plates
The spectral finite element method and equally the dynamic stiffness method use exponential functions as basis functions. Thus it is possible to find exact solutions to the homogeneous equations of motion for simple rod, beam, plate and shell structures. Normally, this restricts the analysis to elements where the excitation is at the element ends. This study removes the restriction for distributed excitation, that in particular has an exponential spatial dependence, by the inclusion of the particular solution in the set of basis functions. These elementary solutions, in turn, build up the solution for an arbitrary homogeneous random excitation. A numerical implementation for the vibration of a plate, excited by a turbulent boundary layer flow, is presented. The results compare favourably with results from conventional modal analysis.
0022-460X
873-891
Birgersson, F.
209b2744-faf6-4152-a67f-e5d56c622df5
Ferguson, N.S.
8cb67e30-48e2-491c-9390-d444fa786ac8
Finnveden, S.
9f4238eb-646d-41b7-9b41-638df0de8460
Birgersson, F.
209b2744-faf6-4152-a67f-e5d56c622df5
Ferguson, N.S.
8cb67e30-48e2-491c-9390-d444fa786ac8
Finnveden, S.
9f4238eb-646d-41b7-9b41-638df0de8460

Birgersson, F., Ferguson, N.S. and Finnveden, S. (2003) Application of the spectral finite element method to turbulent boundary layer induced vibration of plates. Journal of Sound and Vibration, 259 (4), 873-891. (doi:10.1006/jsvi.2002.5127).

Record type: Article

Abstract

The spectral finite element method and equally the dynamic stiffness method use exponential functions as basis functions. Thus it is possible to find exact solutions to the homogeneous equations of motion for simple rod, beam, plate and shell structures. Normally, this restricts the analysis to elements where the excitation is at the element ends. This study removes the restriction for distributed excitation, that in particular has an exponential spatial dependence, by the inclusion of the particular solution in the set of basis functions. These elementary solutions, in turn, build up the solution for an arbitrary homogeneous random excitation. A numerical implementation for the vibration of a plate, excited by a turbulent boundary layer flow, is presented. The results compare favourably with results from conventional modal analysis.

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More information

Published date: 23 January 2003

Identifiers

Local EPrints ID: 10083
URI: https://eprints.soton.ac.uk/id/eprint/10083
ISSN: 0022-460X
PURE UUID: 6b14a998-4356-4b19-9e7c-e6de0e46b817
ORCID for N.S. Ferguson: ORCID iD orcid.org/0000-0001-5955-7477

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Date deposited: 16 Feb 2005
Last modified: 20 Jul 2019 01:28

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