THREE-DIMENSIONAL FUNDAMENTAL EDGE WAVES IN THIN SHELL
Lower order waves propagating along the edge of a semi-infinite circular cylindrical shell are studied. The 3D equations of elasticity in cylindrical coordinates are used for describing of vibrations of the shell. The solution of 3D problem is presented as modal expansion with non-axisymmetric modes of a hollow cylinder. In the long-wave domain, the results of numerical investigation confirm the existence of two fundamental edge waves established before only in the framework of Kirchhoff-Love theory of shells. They are the antisymmetric“ wave corresponding Lower order waves propagating along the edge of a semi-infinite circular cylindrical shell are studied. The 3D equations of elasticity in cylindrical coordinates are used for describing of vibrations of the shell. The solution of 3D problem is presented as modal expansion with non-axisymmetric modes of a hollow cylinder. In the long-wave domain, the results of numerical investigation confirm the existence of two fundamental edge waves established before only in the framework of Kirchhoff-Love theory of shells. They are the antisymmetric“ wave correspondingto flexural edge wave in the theory of shells and the ” “ wave corresponding to tangential symmetricedge wave. The short-wave limits of the velo ” of these wave are the velocities of thewaves localized near the ridge of a quarter-space and propagating on the outer and the inner circumference of the front edge, respectively. The graph for the imaginary part of the frequency which characterizes the damping of the symmetric“ wave caused by the propagating modes ispresented.