Accession Number : AD0257023

Title :   VIBRATIONS OF PLATES OF NONHOMOGENEOUS VISCOELASTIC MATERIAL

Corporate Author : COLUMBIA UNIV NEW YORK INST OF FLIGHT STRUCTURES

Personal Author(s) : MCCORMICK,J.M. JR.

Report Date : MAY 1961

Pagination or Media Count : 1

Abstract : Methods are considered for the vibration analysis of plates of linear viscoelastic materials when the properties vary through the thickness of the plate. In Part I the three-dimensional equations for harmonic vibrations are formulated. Examination of these differential equations indicates that they are only in rare cases tractable. In Part II the transient problem is considered. By using a warping function, equations are derived which are generalizations of the Timoshenko-Mindlin equations for homogeneous materials. It is found that the generalized equations may have a much narrower range of validity than the equations for homogeneous materials, the restrictions depending on the manner in which the properties vary. The restrictions occur also for elastic materials with variable properties. (Author)

Descriptors :   *ELASTIC PROPERTIES, EQUATIONS, MATERIALS, MATHEMATICAL ANALYSIS, THEORY, VIBRATION, VISCOSITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE