Accession Number:

AD0649383

Title:

FORCED MOTION OF CIRCULAR PLATES,

Descriptive Note:

Corporate Author:

STATE UNIV OF NEW YORK BUFFALO DIV OF INTERDISCIPLINARY STUDIES AND RESEARCH

Personal Author(s):

Report Date:

1967-03-01

Pagination or Media Count:

108.0

Abstract:

A formal solution is obtained for the dynamic response of a circular or ring-shaped plate under arbitrarily distributed, time-dependent transverse loads and a set of very general stationary or time-dependent boundary conditions. The solution is obtained for an improved plate theory which includes the effects of transverse shear deformation and rotatory inertia. A normal mode technique is used wherein the dynamic solution is represented as an eigenfunction expansion about the static solution. Detailed and specific solutions are then presented for two axisymmetric problems a the response of a solid, clamped plate to a suddenly applied transverse load, uniformly distributed over a circular area, and b the response of a ring plate, clamped at the outer boundary and subjected to a suddenly applied transverse shear at the inner boundary, which is restrained from rotating. Results of the improved theory for these two cases are compared with the predictions of the classical Poisson - Kirchhoff plate theory for various plate thickness ratios and loading parameters. Significant differences in the predictions of the two theories are found. Author

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE