The non-linear and dispersive elastic solid: standing waves
- 14 April 1977
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 10 (7) , 947-954
- https://doi.org/10.1088/0022-3719/10/7/006
Abstract
The authors describe a stationary solution to the non-linear, dispersive field equation, rho utt=cuxx+Cuxuxx+huxxxx for the field u(x,t), (a) defined in the range -l<or=x<or=l and (b) clamped at the boundaries u(+or-l,t)=0. The solution is characterized by a cyclic exchange of energy between the two lowest-frequency modes. Expressions are derived for the period and amplitudes of the energy exchange in terms of the parameters rho , c, C, h and l.Keywords
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