Symmetry of one-dimensional dynamical systems in terms of transfer matrix parameters

Munjal, ML and Doige, AG (1990) Symmetry of one-dimensional dynamical systems in terms of transfer matrix parameters. In: Journal of Sound and Vibration, 136 (3). pp. 467-475.

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Abstract

The concept of symmetry for passive, one-dimensional dynamical systems is well understood in terms of the impedance matrix, or alternatively, the mobility matrix. In the past two decades, however, it has been established that the transfer matrix method is ideally suited for the analysis and synthesis of such systems. In this paper an investigatiob is described of what symmetry means in terms of the transfer matrix parameters of an passive element or a set of elements. One-dimensional flexural systems with 4 × 4 transfer matrices as well as acoustical and mechanical systems characterized by 2 × 2 transfer matrices are considered. It is shown that the transfer matrix of a symmetrical system, defined with respect to symmetrically oriented state variables, is involutory, and that a physically symmetrical system may not necessarily be functionally or dynamically symmetrical.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	16 Dec 2011 06:18
Last Modified:	16 Dec 2011 06:18
URI:	http://eprints.iisc.ac.in/id/eprint/42758

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