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The transient response of certain third-ordernon-linear systems

Srirangarajan, HR and Srinivasan, P (1973) The transient response of certain third-ordernon-linear systems. In: Journal of Sound and Vibration, 29 (2). pp. 215-226.

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In this paper a method of solving certain third-order non-linear systems by using themethod of ultraspherical polynomial approximation is proposed. By using the method of variation of parameters the third-order equation is reduced to three partial differential equations. Instead of being averaged over a cycle, the non-linear functions are expanded in ultraspherical polynomials and with only the constant term retained, the equations are solved. The results of the procedure are compared with the numerical solutions obtained on a digital computer. A degenerate third-order system is also considered and results obtained for the above system are compared with numerical results obtained on the digital computer. There is good agreement between the results obtained by the proposed method and the numerical solution obtained on digital computer.

Item Type: Journal Article
Publication: Journal of Sound and Vibration
Publisher: Elsevier Science
Additional Information: Copy right of this article belongs to Elsevier Science
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 05 Jan 2010 11:03
Last Modified: 19 Sep 2010 05:44
URI: http://eprints.iisc.ac.in/id/eprint/23174

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