Approximate Solution of Fourth Order Near Critically Damped Nonlinear Systems with Special Conditions

Authors

  • Md Asraful Alom Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203
  • M Alhaz Uddin Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203

DOI:

https://doi.org/10.3329/jbas.v36i2.12962

Keywords:

Perturbation method, Weak nonlinearity, Near critically damped nonlinear system

Abstract

A perturbation technique has been developed based on the Krylov-Bogoliubov-Mitropolskii (KBM) method to investigate the solution of fourth order near critically damped nonlinear systems in the case of ?1??2, ?4 ? ?3 + 2?1 but ?4<2?3 among the eigenvalues ?1, ?2, ?3, ?4. The solutions obtained by this technique were compared with those obtained by numerical method. The method has been explained by an example.

DOI: http://dx.doi.org/10.3329/jbas.v36i2.12962

Journal of Bangladesh Academy of Sciences, Vol. 36, No. 2, 187-197, 2012




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Published

2012-12-14

How to Cite

Alom, M. A., & Uddin, M. A. (2012). Approximate Solution of Fourth Order Near Critically Damped Nonlinear Systems with Special Conditions. Journal of Bangladesh Academy of Sciences, 36(2), 187–197. https://doi.org/10.3329/jbas.v36i2.12962

Issue

Vol. 36 No. 2 (2012)

Section

Articles