Accession Number : AD0650221

Title :   FORCED MOTION OF SHALLOW SPHERICAL SHELLS,

Corporate Author : STATE UNIV OF NEW YORK BUFFALO DIV OF INTERDISCIPLINARY STUDIES AND RESEARCH

Personal Author(s) : Reismann,Herbert ; Culkowski,Paul M.

Report Date : APR 1967

Pagination or Media Count : 82

Abstract : A formal solution is presented for the dynamic response of a shallow spherical shell under axisymmetric but otherwise arbitrarily distributed, time dependent surface tractions, for arbitrary initial conditions and (admissible) homogeneous boundary conditions. The solution is obtained in terms of the eigenfunctions associated with the free vibration of the shell, and appropriate orthogonality and normalization conditions are formulated. The free vibration problem for a clamped shell is solved, and an example of shell response to a transient loading condition is presented. The theoretical development and its application are carried out within the framework of a theory which accounts for the effects of shear deformation and rotatory inertia. A comparison with the theory which neglects these effects is presented. Significant differences in the predictions of the two theories are noted. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), MOTION), (*SPHERES, MOTION), VIBRATION, LOADS(FORCES), SHEAR STRESSES, DEFORMATION, ROTATION, INERTIA, MATHEMATICAL ANALYSIS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE