A Modal Analysis for the Damped Linear Gyroscopic Systems

[+] Author and Article Information
H. B. Hablani, S. K. Shrivastava

Indian Institute of Science, Bangalore 560012, India

J. Appl. Mech 44(4), 750-754 (Dec 01, 1977) (5 pages) doi:10.1115/1.3424167 History: Received October 01, 1976; Revised April 01, 1977; Online July 12, 2010


A modal analysis of a flexible linear damped gyroscopic system is developed here. The simple structure of the corresponding real constant generally nonsymmetric dynamic matrix allows the use of the biorthogonality relation and dual-expansion theorem for a linear operator in a vector space. A closed-form response to both periodic forces and general initial conditions is thus obtained. The method is illustrated by deriving the response of an inertially coupled gravity-stabilized pervasively damped satellite.

Copyright © 1977 by ASME
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