Crynodeb
We have discovered a forerunning mode transition as the periodic wave changing the state of a uniform continuous waveguide. The latter is represented by an elastic beam initially rested on an elastic foundation. Under the action of an incident sinusoidal wave, the separation from the foundation occurs propagating in the form of a transition wave. The critical displacement is the separation criterion. Under these conditions, the steadystate mode exists with the transition wave speed independent of the incident wave amplitude. We show that such a regime exists only in a bounded domain of the incident wave parameters. Outside this domain, for higher amplitudes, the steadystate mode is replaced by a set of local separation segments periodically emerging at a distance ahead of the main transition point. The crucial feature of this waveguide is that the incident wave group speed is greater than the phase speed. This allows the incident wave to deliver the energy required for the separation. The analytical solution allows us to show in detail how the steadystate mode transforms into the forerunning one. The latter studied numerically turns out to be periodic. As the incident wave amplitude grows the period decreases, while the transition wave speed averaged over the period increases to the group velocity of the wave. As an important part of the analysis, the complete set of solutions is presented for the waves excited by the oscillating or/and moving force acting on the free beam. In particular, an asymptotic solution is evaluated for the resonant wave corresponding to a certain relation between the load's speed and frequency.
Iaith wreiddiol  Saesneg 

Tudalennau (oi)  3245 
Nifer y tudalennau  14 
Cyfnodolyn  Journal of the Mechanics and Physics of Solids 
Cyfrol  78 
Dyddiad arlein cynnar  02 Chwef 2015 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  01 Mai 2015 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Forerunning mode transition in a continuous waveguide'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Proffiliau

Gennady Mishuris
 Mathemateg  Professor of Mathematical Modelling, Royal Society Wolfson Research Merit Award Holder
Unigolyn: Dysgu ac Ymchwil, Arall