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An Analytical Technique for Solving Second Order Strongly Damped Nonlinear Oscillator with a Fractional Power Restoring Force

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dc.contributor.advisor Uddin, Dr. Md. Alhaz
dc.contributor.author Islam, Md. Saiful
dc.date.accessioned 2018-05-27T10:30:45Z
dc.date.available 2018-05-27T10:30:45Z
dc.date.copyright 2017
dc.date.issued 2017-03
dc.identifier.other ID 1551504
dc.identifier.uri http://hdl.handle.net/20.500.12228/171
dc.description This thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Science in Mathematics, March 2017. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (pages 26-29).
dc.description.abstract In this thesis, an analytical technique has been developed for solving strongly nonlinear damped systems with 1/ 3 x restoring force by combining He’s homotopy perturbation method (HPM) and the extended form of the Krylov-Bogoliubov-Mitropolskii (KBM) method. The presented method has been justified by an example. We have also established the relationship between amplitude and approximate angular frequency. In this study, the presented technique gives desired results avoiding any numerical complexity. Graphical representation of any physical system is important. So, approximate solutions are compared with those numerical solutions obtained by fourth order Runge-Kutta method in graphically. The results in figures show that the approximations are of extreme accuracy with small and significant damping. The presented method is simple and suitable for solving the above mentioned nonlinear damped systems. en_US
dc.description.statementofresponsibility Md. Saiful Islam
dc.format.extent 29 pages
dc.language.iso en_US en_US
dc.publisher Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh en_US
dc.rights Khulna University of Engineering & Technology (KUET) thesis/dissertation/internship reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission.
dc.subject Nonlinear Oscillator en_US
dc.subject Fractional Power en_US
dc.subject Damped Systems en_US
dc.title An Analytical Technique for Solving Second Order Strongly Damped Nonlinear Oscillator with a Fractional Power Restoring Force en_US
dc.type Thesis en_US
dc.description.degree Master of Science in Mathematics

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