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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

Computer Modeling in Engineering & Sciences 2015, 104(3), 211-225. https://doi.org/10.3970/cmes.2015.104.211

Abstract

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.

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APA Style
Behera, D., Chakraverty, S. (2015). Dynamic response and oscillating behaviour of fractionally damped beam. Computer Modeling in Engineering & Sciences, 104(3), 211-225. https://doi.org/10.3970/cmes.2015.104.211
Vancouver Style
Behera D, Chakraverty S. Dynamic response and oscillating behaviour of fractionally damped beam. Comput Model Eng Sci. 2015;104(3):211-225 https://doi.org/10.3970/cmes.2015.104.211
IEEE Style
D. Behera and S. Chakraverty, “Dynamic Response and Oscillating Behaviour of Fractionally Damped Beam,” Comput. Model. Eng. Sci., vol. 104, no. 3, pp. 211-225, 2015. https://doi.org/10.3970/cmes.2015.104.211



cc Copyright © 2015 The Author(s). Published by Tech Science Press.
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.
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