Open Access

ARTICLE

Dynamic Response and Oscillating Behaviour of Fractionally Damped Beam

Diptiranjan Behera¹, S. Chakraverty²
1 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
2 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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Keywords

Viscoelastic beam, Fractional derivative, Impulse response function, Homotopy Perturbation Method (HPM)

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