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A behavioural view of play in mechanical networks

Scheibe F. and Smith M.C.

Proceedings of the European Control Conference, Kos, Greece, Pages 3755-3762, July 2007

Abstract

This paper shows that the treatment of play as an input-output operator in mechanical networks leads to solutions which are unsatisfactory from a physical point of view. This contrasts with a simple behavioural definition of ideal play. With this definition, play cannot be treated in isolation as an input-output relation. As a result, methods of non-linear feedback systems are not readily applicable to establish well-posedness of solutions of mechanical networks incorporating this play element. By means of simple network examples this paper explores the issues involved in establishing well-posedness of mechanical networks incorporating springs, dampers, masses and inerters together with the behavioural model of ideal play. Connections with the approach of Nordin, Galic and Gutman are highlighted.

BibTex Entry

@InProceedings{,
author = {Scheibe F. and Smith M.C.},
title = {A behavioural view of play in mechanical networks},
booktitle = {Proceedings of the European Control Conference, Kos, Greece},
month = {July},
pages = {3755-3762},
year = {2007}
}