An Asymptotic Solution of a Fourth Order Critically Damped Nonlinear System with Pair Wise Equal Eigenvalues

M. Abul Kawser ； M.A. Sattar

《Research Journal of Mathematics and Statistics》 3卷1期 (2011/02) Pp. 1-11

並列摘要

In this study a fourth order nonlinear critically damped differential system is considered and an analytical approximate solution is investigated for obtaining the transient response of the system in the case of pair wise equal eigenvalues. The results obtained by the proposed technique agree with the numerical solutions by means of the fourth order ＂Runge-Kutta＂ method nicely. An example is given to illustrate the method.

並列關鍵字

Asymptotic solution ； critically damped system ； perturbation solution