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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.

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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
Publication: Journal of Sound and Vibration
Publisher: Elsevier Science
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
Date Deposited: 22 Jan 2010 06:34
Last Modified: 06 Dec 2010 07:18
URI: http://eprints.iisc.ac.in/id/eprint/24117

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