Accession Number : AD0717302
Title : On the Forced Torsional Vibrations of an Encased Hollow Cylinder of Finite Length.
Descriptive Note : Technical rept.,
Corporate Author : WATERVLIET ARSENAL N Y
Personal Author(s) : Anderson,Gary L.
Report Date : NOV 1970
Pagination or Media Count : 27
Abstract : A hollow isotropic elastic cylinder of finite length is encased in a thin isotropic elastic shell. The lower end-section of the cylinder is fixed, and a time dependent displacement is prescribed at the upper end section. The inner and outer curved surfaces of the system are traction free, but the displacement and the stresses are assumed to be continuous at the interface between the core and the casing. In order to satisfy the differential equation and the boundary conditions, which include derivatives of the dependent variable with respect to time, associated with the forced torsional motion of the system, a modified Fourier-Bessel analysis is employed. The resulting representation of the circumferential displacement may be differentiated term by term to yield expressions for the shear stresses. (Author)
Descriptors : (*CYLINDRICAL BODIES, TORSION), (*ELASTIC SHELLS, VIBRATION), FORCE(MECHANICS), EQUATIONS OF MOTION, SHEAR STRESSES, DISPLACEMENT, BOUNDARY VALUE PROBLEMS, TRANSFORMATIONS(MATHEMATICS), MATHEMATICAL MODELS
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE