Accession Number : AD0281755

Title :   VIBRATIONS IN HETEROGENEOUS ELASTIC PLATES,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE

Personal Author(s) : Yang ,Peng-Chih ; Norris,Charles H.

Report Date : JUN 1962

Pagination or Media Count : 88

Abstract : A two-dimensional heterogeneous dynamic plate theory was deduced from the three-dimensional dynamic equations of elasticity. The heterogeneity of the material was considered to be only along the thickness coordinate of the plate. Approximations of shear deformations and of rotary inertia were included. A tenth order differential equation was derived. Five boundary conditions and proper initial conditions were obtained to insure an unique solution. It was recognized that the fact of coupling between stretching and bending in the heterogeneous plate led to this higher order (tenth) differential equation. The heterogeneous plate theory was specialized to cases of symmetrically laminated aeolotropic, orthotropic and isotropic plates respectively. A heterogeneous plate theory neglecting shear deformations was also deduced from the three-dimensional dynamic equation of elasticity. It was shown that the method of solving the forced vibration of a homogeneous plate of finite length could be extended to a heterogeneous plate. (Author)

Descriptors :   *DYNAMICS, *ELASTIC PROPERTIES, *SHEETS, *VIBRATION, DEFORMATION, DIFFERENTIAL EQUATIONS, LAMINATES, METAL PLATES, SHEAR STRESSES, THICKNESS, VIBRATORS (MECHANICAL)

Distribution Statement : APPROVED FOR PUBLIC RELEASE