
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 WRIGHTPATTERSON 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