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Exact Decoupling of Non-Classically Damped Matrix Second-Order Linear Mechanical Systems

[+] Author Affiliations
Verica Radisavljevic

California State University, Los Angeles, CA

Dobrila Skataric

University of Belgrade, Belgrade, Serbia

Paper No. IMECE2009-13056, pp. 1093-1100; 8 pages
doi:10.1115/IMECE2009-13056
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 10: Mechanical Systems and Control, Parts A and B
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4383-3 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

abstract

Matrix second-order damped linear dynamic systems are frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. This class of systems is also obtained by approximating dynamics of systems described by partial differential equations (distributed parameter systems). There are many papers in the engineering literature on analysis and control of matrix second-order linear damped systems. They provide either approximate (simplified) analytical results or accurate numerical results (usually computationally involved). In this paper, we show how to decouple exactly a matrix second-order linear system into scalar second-order subsystems and study exactly the corresponding system dynamics at the subsystem level using simple analytical tools. Conditions are established under which the presented procedure is applicable. An example is included to demonstrate the efficiency of the proposed technique.

Copyright © 2009 by ASME

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