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 time-dependent 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