Computational Mechanics

, Volume 10, Issue 2, pp 97-105

First online:

Guided waves in laminated isotropic circular cylinder

  • N. RattanawangcharoenAffiliated withDepartment of Civil Engineering, University of Manitoba
  • , A. H. ShahAffiliated withDepartment of Civil Engineering, University of Manitoba

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This paper investigates, analytically and numerically, the dispersion characteristics of a laminated isotropic circular cylinder. The propagator matrix, which relates the stresses and displacements of one interface of a layer to those of another interface, is formulated based upon the three-dimensional theory of elasticity. The dispersion relation of the cylinder is implicitly established from this propagator matrix. The numerical evaluation is carried out by the Muller's method with an initial guess from a Rayleigh-Ritz type approximate method. Examples of an elastic rod and a two layered isotropic cylinder are presented and discussed to illustrate the accuracy and effectiveness of the method.