Closeness of the Solutions of Approximately Decoupled Damped Linear Systems to Their Exact Solutions

[+] Author and Article Information
S. M. Shahruz

Berkeley Engineering Research Institute, Berkeley, Calif. 94709

G. Langari

Department of Mechanical Engineering, Texas A&M University, College Station, Texas 77843

J. Dyn. Sys., Meas., Control 114(3), 369-374 (Sep 01, 1992) (6 pages) doi:10.1115/1.2897357 History: Received August 22, 1991; Revised November 19, 1991; Online March 17, 2008


The simplest technique of decoupling the normalized equations of motion of a linear nonclassically damped second-order system is to neglect the off-diagonal elements of the normalized damping matrix. In this paper, the error introduced in the system response due to this decoupling technique is studied. Conditions are derived under which the solution of an approximately decoupled system is “close” to the exact solution of the system.

Copyright © 1992 by The American Society of Mechanical Engineers
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