International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.4, No.3, Sep. 2018, Pub. Date: Jul. 23, 2018
Approximate Solutions of Fifth Order More Critically Damped Nonlinear Systems with Triply Equal Eigenvalues
Pages: 99-111 Views: 494 Downloads: 164
Authors
[01] Ahammodullah Hasan, Department of Mathematics, Islamic University, Kushtia, Bangladesh.
[02] M. Abul Kawser, Department of Mathematics, Islamic University, Kushtia, Bangladesh.
[03] Md. Mahafujur Rahaman, Department of Computer Science & Engineering, Z. H. Sikder University of Science & Technology, Shariatpur, Bangladesh.
Abstract
In this paper, an extension of the Krylov-Bogoliubov-Mitropolskii (KBM) method (which is also regarded as one of the most convenient and widely used methods for investigating the transient behavior of nonlinear systems) is used to figure out the solutions of fifth order more critically damped nonlinear systems. To this end, the analytical approximate solutions of fifth more critically damped nonlinear systems are considered in which the three eigenvalues are identical and another two are different. In this article, we suggest that the perturbation solutions obtained by the extended KBM method adequately matches up with the numerical solutions.
Keywords
KBM Method, Analytical Solution, More Critically Damped, Nonlinearity, Eigenvalues
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