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Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures

Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures
Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures
This paper concerns wave reflection, transmission, and propagation in Timoshenko beams together with wave analysis of vibrations in Timoshenko beam structures. The transmission and reflection matrices for various discontinuities on a Timoshenko beam are derived. Such discontinuities include general point supports, boundaries, and changes in section.
The matrix relations between the injected waves and externally applied forces and moments are also derived. These matrices can be combined to provide a concise and systematic approach to vibration analysis of Timoshenko beams or complex structures consisting of Timoshenko beam components. The approach is illustrated with several numerical examples.
1048-9002
382-394
Mei, C.
bf82d5a7-abd2-472d-a887-bc894345982a
Mace, B.R.
681dd501-6313-441d-86e6-20a90fada824
Mei, C.
bf82d5a7-abd2-472d-a887-bc894345982a
Mace, B.R.
681dd501-6313-441d-86e6-20a90fada824

Mei, C. and Mace, B.R. (2005) Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures. Journal of Vibration and Acoustics, 127 (4), 382-394. (doi:10.1115/1.1924647).

Record type: Article

Abstract

This paper concerns wave reflection, transmission, and propagation in Timoshenko beams together with wave analysis of vibrations in Timoshenko beam structures. The transmission and reflection matrices for various discontinuities on a Timoshenko beam are derived. Such discontinuities include general point supports, boundaries, and changes in section.
The matrix relations between the injected waves and externally applied forces and moments are also derived. These matrices can be combined to provide a concise and systematic approach to vibration analysis of Timoshenko beams or complex structures consisting of Timoshenko beam components. The approach is illustrated with several numerical examples.

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Published date: 2005

Identifiers

Local EPrints ID: 28502
URI: http://eprints.soton.ac.uk/id/eprint/28502
ISSN: 1048-9002
PURE UUID: 8d5b5f29-3904-440d-bd00-8e0e8bf493d5

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Date deposited: 02 May 2006
Last modified: 15 Mar 2024 07:25

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Contributors

Author: C. Mei
Author: B.R. Mace

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