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The non-linear response of a gyrostabilized platform: Effects of correction torque time delay and of random inputs

Joshi, SG and Srinivasan, P (1978) The non-linear response of a gyrostabilized platform: Effects of correction torque time delay and of random inputs. In: Journal of Sound and Vibration, 57 (4). 535-553 . PDF linear.pdf - Published Version Restricted to Registered users only Download (1MB) | Request a copy
Official URL: http://dx.doi.org/10.1016/0022-460X(78)90544-8

Abstract

First, the non-linear response of a gyrostabilized platform to a small constant input torque is analyzed in respect to the effect of the time delay (inherent or deliberately introduced) in the correction torque supplied by the servomotor, which itself may be non-linear to a certain extent. The equation of motion of the platform system is a third order nonlinear non-homogeneous differential equation. An approximate analytical method of solution of this equation is utilized. The value of the delay at which the platform response becomes unstable has been calculated by using this approximate analytical method. The procedure is illustrated by means of a numerical example. Second, the non-linear response of the platform to a random input has been obtained. The effects of several types of non-linearity on reducing the level of the mean square response have been investigated, by applying the technique of equivalent linearization and solving the resulting integral equations by using laguerre or Gaussian integration techniques. The mean square responses to white noise and band limited white noise, for various values of the non-linear parameter and for different types of non-linearity function, have been obtained. For positive values of the non-linear parameter the levels of the non-linear mean square responses to both white noise and band-limited white noise are low as compared to the linear mean square response. For negative values of the non-linear parameter the level of the non-linear mean square response at first increases slowly with increasing values of the non-linear parameter and then suddenly jumps to a high level, at a certain value of the non-linearity parameter.

Item Type: Journal Article Copyright of this article belongs to Elsevier Science. Division of Mechanical Sciences > Mechanical Engineering Ms G Yashodha 29 Sep 2010 11:27 29 Sep 2010 11:27 http://eprints.iisc.ac.in/id/eprint/32509 View Item