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A behavioural view of play in mechanical networks

Scheibe F. and Smith M.C.

March 2007
Technical Report: CUED/F-INFENG/TR.573

Abstract

This report 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 report 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 analysed.

BibTex Entry

@TechReport{,
author = {Scheibe F. and Smith M.C.},
institution = {University of Cambridge},
title = {A behavioural view of play in mechanical networks},
year = {2007},
month = {March},
note = {CUED/F-INFENG/TR.573}
}