Numerical solution of fractionally damped beam by homotopy perturbation method

• Authors: Diptiranjan Behera , Snehashish Chakraverty
• Languages of publication: EN

Abstracts

EN

This paper investigates the numerical solution of a viscoelastic continuous beam whose damping behaviours are defined in term of fractional derivatives of arbitrary order. The Homotopy Perturbation Method (HPM) is used to obtain the dynamic response. Unit step function response is considered for the analysis. The obtained results are depicted in various plots. From the results obtained it is interesting to note that by increasing the order of the fractional derivative the beam suffers less oscillation. Similar observations have also been made by keeping the order of the fractional derivative constant and varying the damping ratios. Comparisons are made with the analytic solutions obtained by Zu-feng and Xiao-yan [Appl. Math. Mech. 28, 219 (2007)] to show the effectiveness and validation of this method.

Keywords

EN

viscoelastic beam; fractional derivative; homotopy perturbation method (HPM)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 6
• Pages: 792-798

Dates

published

1 - 6 - 2013

online

9 - 10 - 2013

Contributors

author

Diptiranjan Behera

• Department of Mathematics, National Institute of Technology, Rourkela Odisha, 769 008, India

author

Snehashish Chakraverty

• Department of Mathematics, National Institute of Technology, Rourkela Odisha, 769 008, India

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Identifiers

DOI

10.2478/s11534-013-0201-9