# Tkacheva 2004

From WikiWaves

Tkacheva LA
*PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS* **68** (3) pp 425-436 2004.

Presented a Wiener-Hopf Elastic Plate Solution.

**Abstract**: The diffraction of plane surface waves by a floating semi-infinite elastic plate at oblique incidence in a fluid of finite depth is investigated. An exact solution of this problem is constructed by the Wiener-Hopf method. Analytic formulae for the velocity potential of the liquid and for the reflection and transmission coefficients are obtained. The behaviour of the plate on the waves, namely, the distribution of the displacements and deformations as a function of the dimensionless parameters of the problem, such as the angle of incidence and the reduced stiffness and depth, is investigated.