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

Munjal, M. L. ; Doige, A. G. (1990) Symmetry of one-dimensional dynamical systems in terms of transfer matrix parameters Journal of Sound and Vibration, 136 (3). pp. 467-475. ISSN 0022-460X

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0022-460X(90)90457-B

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:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:73443
Deposited On:05 Dec 2011 11:21
Last Modified:05 Dec 2011 11:21

Repository Staff Only: item control page