Journal of Applied and Computational Mechanics
Dynamic Response Analysis of Fractionally Damped Beams Subjected to External Loads using Homotopy Analysis Method
Document Type : Research Paper
Authors
National Institute of Technology Rourkela, Department of Mathematics, Odisha, Rourkela, 769008, India
Abstract
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.
Keywords
Main Subjects
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