Dynamic Response and Oscillating Behaviour of Fractionally Damped Beam
Diptiranjan Behera1, S. Chakraverty2
Corresponding Author. School of Mechatronics Engineering, University of Electronic Science and Technology of China, No. 2006, Xiyuan Avenue, West Hi-Tech Zone, Chengdu, Sichuan 611731, P. R. China. E-mail: diptiranjanb@gmail.com
Department of Mathematics, National Institute of Technology Rourkela, Odisha-769008, India. E-mail: sne_chak@yahoo.com
This paper presents the numerical solution of a viscoelastic continuous beam whose damping behaviours are defined in term of fractional derivatives of arbitrary order. Homotopy Perturbation Method (HPM) is used to obtain the dynamic response with respect to unit impulse load. Obtained results are depicted in term of plots. Comparisons are made with the analytic solutions obtained by Zu-feng and Xiao-yan (2007) to show the effectiveness and validation of the present method.
Behera, D., Chakraverty, S. (2015). Dynamic Response and Oscillating Behaviour of Fractionally Damped Beam. CMES-Computer Modeling in Engineering & Sciences, 104(3), 211–225. https://doi.org/10.3970/cmes.2015.104.211
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.