ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Ultraspherical polynomials approach to the study of third-order non-linear systems

Srirangarajan, HR and Srinivasan, P and Dasarathy, BV (1975) Ultraspherical polynomials approach to the study of third-order non-linear systems. In: Journal of Sound and Vibration, 40 (2). pp. 167-172.

[img] PDF
ultra.pdf - Published Version
Restricted to Registered users only

Download (205Kb) | Request a copy
Official URL: http://www.sciencedirect.com/science?_ob=ArticleUR...

Abstract

In this study, the Krylov-Bogoliubov-Mitropolskii-Popov asymptotic method is used to determine the transient response of third-order non-linear systems. Instead of averaging the non-linear functions over a cycle, they are expanded in ultraspherical polynomials and the constant term is retained. The resulting equations are solved to obtain the approximate solution. A numerical example is considered and the approximate solution is compared with the digital solution. The results show that there is good agreement between the two values.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)
Date Deposited: 22 Jan 2010 06:34
Last Modified: 06 Dec 2010 07:18
URI: http://eprints.iisc.ernet.in/id/eprint/24117

Actions (login required)

View Item View Item