A behavioral approach to play in mechanical networks
Scheibe F. and Smith M. C.
SIAM Journal on Control and Optimization, Volume 47, Number 6, Pages 2967-2990, December 2008Abstract
This paper shows that the treatment of play or backlash 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 behavioral definition of ideal play. With this definition, play cannot be treated in isolation as an input-output relation. As a result, methods of nonlinear 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 behavioral model of ideal play. Connections with the approach of Nordin, Galic, and Gutman are analyzed and a model implementation given.
BibTex Entry
- @Article{,
- author = {Scheibe F. and Smith M. C.},
- journal = {SIAM Journal on Control and Optimization},
- title = {A behavioral approach to play in mechanical networks},
- year = {2008},
- month = {December},
- number = {6},
- pages = {2967-2990},
- volume = {47}
- }
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