Accession Number:

AD0711525

Title:

FORCED TORSIONAL VIBRATIONS OF THIN SPHERICAL SHELLS.

Descriptive Note:

Technical rept.,

Corporate Author:

WATERVLIET ARSENAL N Y

Personal Author(s):

Report Date:

1970-06-01

Pagination or Media Count:

35.0

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

Subject Categories:

  • Numerical Mathematics
  • Structural Engineering and Building Technology
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE