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RESEARCH PAPERS

Time Delay Instabilities in Large Order Systems With Controlled Follower Forces

[+] Author and Article Information
G. Y. Matsumoto

Department of Mechanical Engineering, University of California, Berkeley, Calif.; Department of Mechanical Engineering, Pennsylvania State University, University Park, Pa.

C. D. Mote

Department of Mechanical Engineering, University of California, Berkeley, Calif.

J. Dyn. Sys., Meas., Control 94(4), 330-334 (Dec 01, 1972) (5 pages) doi:10.1115/1.3426616 History: Received July 06, 1972; Online July 13, 2010

Abstract

An extension of the τ-decomposition method is used to predict the stability of a continuous system subjected to nonconservative loading. The technique is implemented through Ritz-finite element discretization. The stability of a flexible rocket (or beam) with a controlled orientation thrust vector (or follower force) is examined with respect to finite time delay in the control mechanism. Higher mode instabilities in the rocket are observed in the sample problem and are treated satisfactorily in the technique. Both buckling and flutter conditions are determined from eigenvalue trajectories in the complex plane.

Copyright © 1972 by ASME
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