Spectral analysis and system of fundamental solutions for Timoshenko beams

Quoc Phong Vu; Jun Min Wang; Gen Qi Xu; Siu Pang Yung

doi:10.1016/j.aml.2004.09.001

Spectral analysis and system of fundamental solutions for Timoshenko beams

Quoc Phong Vu, Jun Min Wang^*, Gen Qi Xu, Siu Pang Yung

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

Abstract

We have found a unified method to analyse Timoshenko beams under various boundary conditions that occurred in practice. Explicit asymptotic expressions for the spectrum are obtained. Our method is very simple but effective because explicit formulas are obtained for the system of fundamental solutions, which are very useful for other purposes such as stability analysis. The eigenfunctions are also shown to form an orthogonal basis.

Original language	English
Pages (from-to)	127-134
Number of pages	8
Journal	Applied Mathematics Letters
Volume	18
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2004.09.001
Publication status	Published - Feb 2005
Externally published	Yes

Keywords

Asymptotic spectral distribution
Fundamental solutions
Timoshenko beam

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10.1016/j.aml.2004.09.001

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abstract = "We have found a unified method to analyse Timoshenko beams under various boundary conditions that occurred in practice. Explicit asymptotic expressions for the spectrum are obtained. Our method is very simple but effective because explicit formulas are obtained for the system of fundamental solutions, which are very useful for other purposes such as stability analysis. The eigenfunctions are also shown to form an orthogonal basis.",

keywords = "Asymptotic spectral distribution, Fundamental solutions, Timoshenko beam",

author = "Vu, {Quoc Phong} and Wang, {Jun Min} and Xu, {Gen Qi} and Yung, {Siu Pang}",

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AU - Vu, Quoc Phong

AU - Wang, Jun Min

AU - Xu, Gen Qi

AU - Yung, Siu Pang

PY - 2005/2

Y1 - 2005/2

N2 - We have found a unified method to analyse Timoshenko beams under various boundary conditions that occurred in practice. Explicit asymptotic expressions for the spectrum are obtained. Our method is very simple but effective because explicit formulas are obtained for the system of fundamental solutions, which are very useful for other purposes such as stability analysis. The eigenfunctions are also shown to form an orthogonal basis.

AB - We have found a unified method to analyse Timoshenko beams under various boundary conditions that occurred in practice. Explicit asymptotic expressions for the spectrum are obtained. Our method is very simple but effective because explicit formulas are obtained for the system of fundamental solutions, which are very useful for other purposes such as stability analysis. The eigenfunctions are also shown to form an orthogonal basis.

KW - Asymptotic spectral distribution

KW - Fundamental solutions

KW - Timoshenko beam

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DO - 10.1016/j.aml.2004.09.001

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SP - 127

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

Spectral analysis and system of fundamental solutions for Timoshenko beams

Abstract

Keywords

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