Reflection and Transmission across a Finite Gap in an Infinite Elastic Plate on Water
نویسندگان
چکیده
The propagation of flexural waves across a gap of finite width in an infinite ice sheet is solved using the residue calculus technique (RCT). The boundary value problem is defined by a thin elastic plate equation coupled with hydrodynamic effects from inviscid and incompressible fluid under the plate. The method of solution is based on the recent application of the RCT to the semi-infinite ice sheet problem by the authors. The complex function for the RCT is constructed in such a way that it incorporates the edge conditions for the elastic plate as a pair of unknown constants. The simple mode-matching technique and the RCT are compared in terms of numerical efficiency and analytical implications.
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