Accession Number : AD0751238

Title :   Natural Frequencies and Mode Shapes of a Square Plate with Discontinuous Boundary Conditions.

Descriptive Note : Masters thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Personal Author(s) : Marsh,James E.

Report Date : SEP 1971

Pagination or Media Count : 100

Abstract : The natural frequencies and mode shapes are theoretically determined for a simply supported square plate with discontinuous boundary conditions created by clamping segments of the boundary. Two different clamping configurations are investigated: (1) partial clamping at the end of one edge, and (2) partial clamping on opposite edges. Satisfying the conditions of clamping leads to a Fredholm integral equation of the first kind for the first clamping configuration and a system of integral equations for the second configuration. The frequencies are found by approximating the integral equations with a finite set of homogeneous algebraic equations and insisting that this set have a nontrival solution. (Author)

Descriptors :   (*METAL PLATES, RESONANT FREQUENCY), (*VIBRATION, METAL PLATES), INTEGRAL EQUATIONS, EQUATIONS OF MOTION, CLAMPS, GRAPHICS, MATRICES(MATHEMATICS), COMPUTER PROGRAMS, THESES

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE