
Accession Number : AD0711525
Title : FORCED TORSIONAL VIBRATIONS OF THIN SPHERICAL SHELLS.
Descriptive Note : Technical rept.,
Corporate Author : WATERVLIET ARSENAL N Y
Personal Author(s) : Anderson,Gary
Report Date : JUN 1970
Pagination or Media Count : 35
Abstract : The method of determination of th integral transform which is appropriate to remove a certain combination of partial derivatives from a partial differential equation which is subject to a variety of boundary or boundedness conditions is developed and applied to the equation which describes the axisymmetric torsional oscillations of a thin spherical shell. The Gegenbauer, the odd Gegenbauer, and the even Gegenbauer transforms, which are appropriate to solve the forced motion problems for a complete spherical shell, a hemispherical shell with timedependent loaded edge conditions, respectively, are derived, and the general forms of the solutions are given. (Author)
Descriptors : (*SHELLS(STRUCTURAL FORMS), VIBRATION), (*PARTIAL DIFFERENTIAL EQUATIONS, *INTEGRAL TRANSFORMS), HEMISPHERICAL SHELLS, ELASTIC SHELLS, TORSION, POLYNOMIALS, BOUNDARY VALUE PROBLEMS
Subject Categories : Numerical Mathematics
Structural Engineering and Building Technology
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE