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On Independence of Reciprocity Symmetry and conservativeness of One-Dimensional Linear Systems

Gupta, VH (1995) On Independence of Reciprocity Symmetry and conservativeness of One-Dimensional Linear Systems. In: Journal of Sound and Vibration, 179 (3). pp. 547-552.

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Linear passive systems form a very important field of interest in theoretical as well as applied aspects of many problems Easwaran et al.[1] presented precise mathematical conditions for reciprocity, symmetry and conservativeness of these systems. Recently, in a letter, Verheij [2] raised an interesting query about the practical example of symmetri-cal-non-reciprocal systems. The query was answered in a letter to the editor [3]. A review of the literature showed that there is no work exemplifying the mathematically shown independence. In this letter a collection of examples of linear passive systems is presented, one each for various combinations of these properties. The systems which are used as examples here are well known and mainly they have simply been collected and compiled, except for the example of a symmetrical-non-reciprocal system [3] and its modification to a symmetric non-reciprocal non-conservative system. These properties, as far as the mathematical conditions are concerned, are independent of each other; and by the following examples it is elucidated that it indeed is the case.

Item Type: Journal Article
Publication: Journal of Sound and Vibration
Publisher: Elsevier
Additional Information: Copyright of this article belongs to Elsevier.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 23 Mar 2007
Last Modified: 19 Sep 2010 04:35
URI: http://eprints.iisc.ac.in/id/eprint/9833

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