ON SOLVING ELASTIC WAVEGUIDE PROBLEMS INVOLVING NON-MIXED EDGE CONDITIONS
Abstract
Within the framework of the 'exact' linear theory an important class of wave propagation problems in elastic waveguides, involving non-mixed edge conditions (like stress or displacement), have remained unsolved. Basically, this is because known separation methods (classical or integral transforms) do not 'ask' in a natural way for the given edge information. A means for solving some problems in this class, focused on the semi-infinite plate, as an example, is presented here. In the method a Laplace transform is used on the propagation coordinate, say x. Exploitation of the boundedness condition on the solution, at x to infinity, generates two coupled integral equations for the edge unknowns (displacements and strains), which depend, parametrically, on those complex wave number roots of the governing Rayleigh-Lamb frequency equation representing unbounded waves. Solution of these equations determines the transformed solution of the problem, which can be inverted through known techniques. Excitation of a plate with a built-in edge is treated as an example.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0658145
Entities
People
- Julius Miklowitz
Organizations
- California Institute of Technology