Propagation of Flexural Waves At the Interface Between Floating Plates

We present a theoretical study of wave propagation in 2 adjoining floating plates of different flexural rigidity, such as fast-ice sheets that abut across a pressure ridge, etc. Analytical formulas for the transmission and reflection coefficients for various conditions at the interface are obtained using the Wiener-Hopf technique for the case of semi-infinite elastic plates joined by a straight line. Solutions are scaled using the well-known characteristic length and time for an infinite floating plate, then categorized according to nondimensional wave frequency that is independent of physical parameters. Thus, the results give a relationship between scale-model experiments and real-sized structures.

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