Asymptotic Solutions of Fifth Order Over-Damped Nonlinear Systems with Cubic Nonlinearity

Sk. Tanzer Ahmed Siddique, M. Ali Akbar

Abstract


Many engineering problems and physical systems of fifth degrees of freedom are governed by the fifth order nonlinear differential equations which are over-damped. In this article a fifth order nonlinear differential equation modeling an over-damped symmetrical system is considered. A perturbation technique based on the KBM method and the work of Akbar et al. is developed for obtaining the transient response when the eigenvalues are in integral multiple. The results obtained by the presented technique agree with those results obtained by the numerical method nicely. An example is solved to illustrated method.


Keywords


Nonlinearity; Over-damped systems; Perturbation; Eigenvalues

Full Text:

PDF


DOI: http://dx.doi.org/10.3968%2Fj.sms.1923845220110301.170

Refbacks

  • There are currently no refbacks.


Reminder

If you have already registered in Journal A and plan to submit article(s) to Journal B, please click the CATEGORIES, or JOURNALS A-Z on the right side of the "HOME".


We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:
caooc@hotmail.com; sms@cscanada.net; sms@cscanada.org

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures
Address: 730, 77e AV, Laval, Quebec, H7V 4A8, Canada

Telephone: 1-514-558 6138
Http://www.cscanada.net
Http://www.cscanada.org
E-mail:caooc@hotmail.com