Dynamic response of a non-uniform Timoshenko beam, subjected to moving mass

In this article, the dynamic response of a non-uniform Timoshenko beam acted upon by a moving mass is extensively investigated. To this end, the eigenfunction expansion method is adapted to the problem, employing the natural mode shapes of a uniform Timoshenko beam. Moreover, the orthonormal polynom...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science Journal of mechanical engineering science, 2015-10, Vol.229 (14), p.2499-2513
Main Authors: Roshandel, Davod, Mofid, Massood, Ghannadiasl, Amin
Format: Article
Language:English
Subjects:
Differential equations
Dynamic response
Eigenvalues
Joining
Mathematical models
Mechanical engineering
Mechanical engineers
Polynomials
Series expansion
Timoshenko beams
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Summary:In this article, the dynamic response of a non-uniform Timoshenko beam acted upon by a moving mass is extensively investigated. To this end, the eigenfunction expansion method is adapted to the problem, employing the natural mode shapes of a uniform Timoshenko beam. Moreover, the orthonormal polynomial series expansion method is successfully applied to the coupled set of governing differential equations pertaining to the dynamic behavior of non-uniform Timoshenko beam actuated by a moving mass. Some numerical examples are solved in which the excellent agreement of the two presented methods is illustrated.
ISSN:0954-4062
2041-2983
DOI:10.1177/0954406214561049