Non-linear response of a gyrostabilized platform to transient input

Joshi, SG and Srinivasan, P (1977) Non-linear response of a gyrostabilized platform to transient input. In: Journal of Sound and Vibration, 54 (4). pp. 527-536.

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Abstract

In this paper the response of a gyrostabilized platform subjected to a transient torque has been analyzed by deliberately introducing non-linearity into the command of the servomotor. The resulting third-order non-linear differential equation has been solved by using a transformation technique involving the displacement variable. The condition under which platform oscillations may grow with time or die with time are important from the point of view of platform stabilization. The effect of deliberate addition of non-linearity with a view to achieving the ideal response—that is, to bring the platform back to its equilibrium position with as few oscillations as possible—has been investigated. The conditions under which instability may set in on account of the small transient input and small non-linearity has also been discussed. The analysis is illustrated by means of a numerical example. The results of analysis are compared with numerical solutions obtained on a digital computer.

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
Date Deposited:	05 Feb 2010 07:23
Last Modified:	19 Sep 2010 05:48
URI:	http://eprints.iisc.ac.in/id/eprint/24068

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