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SUMMARY:A behavioural approach to play in mechanical networks - Dr Frank S
 cheibe
DTSTART:20080229T140000Z
DTEND:20080229T150000Z
UID:TALK10473@talks.cam.ac.uk
CONTACT:Dr Guy-Bart Stan
DESCRIPTION:Play is one of the most common nonlinearities in mechanical ne
 tworks and it is often described in input-output notation. It is the purpo
 se of this seminar to show that the treatment of play as an operator in me
 chanical networks leads to solutions which are unsatisfactory from a physi
 cal point of view. It will be explained that the common operator definitio
 n is not invariant to changes in the inertial frame or to terminal reversa
 l\, and that it shows inconsistencies with respect to the applied force. T
 herefore\, the question of modelling\, well-posedness and design of mechan
 ical networks with the nonlinearity play is addressed. \n\nA behavioural d
 efinition of play will be given which contrasts with the conventional play
  operator. With this definition\, play cannot be treated in isolation as a
 n input-output relation. Consequently\, methods of nonlinear feedback syst
 ems are not readily applicable for establishing well-posedness of solution
 s of mechanical networks incorporating this ideal play element. \n\nMechan
 ical network examples including springs\, dampers\, masses and inerters wi
 ll be discussed in conjunction with the behavioural definition of play. So
 me networks require approximating solutions to recover well-posedness lead
 ing to a semi-ideal definition of play\, which can be shown to be well-pos
 ed for piecewise monotone continuous inputs.\n\nFinally\, we apply the pla
 y element arrived at to optimal vehicle suspension networks and illustrate
  its effect on ride comfort and tyre grip.
LOCATION: Cambridge University Engineering Department\, Lecture Room 3B
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