Propagation of Nonaxially Symmetric Waves in Elastic Cylindrical Shells

Abstract

In a previous paper two general systems of equations of motion, designated as (I) and (II) for thin elastic cylindrical shells (which include the effects of both transverse shear deformation and rotatory inertia) were derived and employed in a study of the torsionless axisymmetric wave propagation in an infinite cylindrical shell. The character of the two systems of equations is such that, upon the neglect of transverse shear deformation and rotatory inertia, Eqs. (I) will reduce to those known as Love's first approximation, while Eqs. (II) will correspond to those given by Donnell. This paper, again employing the systems of Eqs. (I) and (II), is concerned with the predictions of phase velocities and amplitude ratios, for nonaxially symmetric as well as purely torsional propagation of elastic waves in an infinite cylindrical shell. As in the previous case of axisymmetric propagation, comparison is made between the predictions of the two systems of equations and the conclusions are specified.