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A new approach to the study of non-linear non-autonomous systems

Dasarathy, BV and Srinivasan, P (1968) A new approach to the study of non-linear non-autonomous systems. In: Journal of Sound and Vibration, 8 (1). pp. 103-107.

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Official URL: http://dx.doi.org/10.1016/0022-460X(68)90196-X


In this paper, a new approach to the study of non-linear, non-autonomous systems is presented. The method outlined is based on the idea of solving the governing differential equations of order n by a process of successive reduction of their order. This is achieved by the use of “differential transformation functions”. The value of the technique presented in the study of problems arising in the field of non-linear mechanics and the like, is illustrated by means of suitable examples drawn from different fields such as vibrations, rigid body dynamics, etc.

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: 14 May 2010 05:29
Last Modified: 19 Sep 2010 06:06
URI: http://eprints.iisc.ac.in/id/eprint/27729

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