Dynamic Response Analysis of Fractionally Damped Beams Subjected to External Loads using Homotopy Analysis Method

This paper examines the solution of a damped beam equation whose damping characteristics are well-defined by the fractional derivative (FD). Homotopy Analysis Method (HAM) is applied for calculating the dynamic response (DR). Unit step and unit impulse functions are deliberated for this analysis. Ac...

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Bibliographic Details
Published inJournal of applied and computational mechanics Vol. 5; no. 2; pp. 355 - 366
Main Authors Rajarama Mohan Jena, S. Chakraverty, Subrat Kumar Jena
Format Journal Article
LanguageEnglish
Published Shahid Chamran University of Ahvaz 01.04.2019
Subjects
Fractional damped beam
Fractional derivative
Homotopy Analysis Method
Vibration
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ISSN2383-4536
2383-4536
DOI10.22055/jacm.2019.27592.1419

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Summary:This paper examines the solution of a damped beam equation whose damping characteristics are well-defined by the fractional derivative (FD). Homotopy Analysis Method (HAM) is applied for calculating the dynamic response (DR). Unit step and unit impulse functions are deliberated for this analysis. Acquired results are illustrated to show the movement of the beam under various sets of parameters with different orders of the FDs. Here FD is defined in the Caputo sense. Obtained results have been compared with the solutions achieved by Adomian decomposition method (ADM) to show the efficiency and effectiveness of the presented method.
ISSN:2383-4536
2383-4536
DOI:10.22055/jacm.2019.27592.1419