Accession Number : AD0780634
Title : Approximate Solutions for the Fundamental Frequency of Square Plates with Variable Thickness.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
Personal Author(s) : Wertz,Faust H.
Report Date : MAR 1974
Pagination or Media Count : 81
Abstract : A perturbation method was used to approximate the fundamental frequency and mode shape of variable thickness, square, simply supported plates. The study was divided into two major phases; development of the necessary equations from perturbation theory and application of the equations to specific examples. The perturbation equations developed were found to be quite general, since the frequency of a plate of any thickness shape could be evaluated without reformulation of the equations in a different form. The only requirement necessary to use the equations is that the thickness of the plate be representable as a continuous function with continuous first derivatives. (Modified author abstract)
Descriptors : *Plates, *Vibration, Resonant frequency, Perturbation theory, Deflection, Elastic properties, Modulus of elasticity, Theses
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE