TY - JOUR ID - 14072 TI - Dynamic Response Analysis of Fractionally Damped Beams Subjected to External Loads using Homotopy Analysis Method JO - Journal of Applied and Computational Mechanics JA - JACM LA - en SN - AU - Jena, Rajarama Mohan AU - Chakraverty, S. AU - Jena, Subrat Kumar AD - National Institute of Technology Rourkela, Department of Mathematics, Odisha, Rourkela, 769008, India Y1 - 2019 PY - 2019 VL - 5 IS - 2 SP - 355 EP - 366 KW - Fractional damped beam KW - Fractional derivative KW - Homotopy Analysis Method KW - Vibration DO - 10.22055/jacm.2019.27592.1419 N2 - 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. UR - https://jacm.scu.ac.ir/article_14072.html L1 - https://jacm.scu.ac.ir/article_14072_d4c690cf2cf2984ab3bb8e1450798d4f.pdf ER -