Closeness of the Solutions of Approximately Decoupled Damped Linear Systems to Their Exact Solutions-Reference-Cited by-同舟云学术

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

Published:1992-09-01 Issue:3 Volume:114 Page:369-374
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Shahruz S. M.¹,Langari G.²

Affiliation:

1. Berkeley Engineering Research Institute, Berkeley, Calif. 94709

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

Abstract

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.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/114/3/369/5554291/369_1.pdf

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