Accession Number : ADA187123

Title :   Boundary Stabilization of Thin Elastic Plates,

Corporate Author : GEORGETOWN UNIV WASHINGTON D C DEPT OF MATHEMATICS

Personal Author(s) : Lagnese, John E

PDF Url : ADA187123

Report Date : Jan 1987

Pagination or Media Count : 16

Abstract : In this paper we shall consider the question of uniform stabilization of thin, elastic plates through the action of forces and moments on the edge of the plate (or on a part of the edge of the plate). Two particular plate models will be considered: The classical fourth order Kirchoff model, but incorporating rotational inertia, and the sixth order Mindlin-Timoshenko model. The difference in the two models, from a physical point of view, is that the M-T model incorporates transverse shear effects while the Kirchhoff model does not. Actually, the M-T model is a hyperbolic system three coupled second order partial differential equations in two dependent variables. The unknowns, denoted by w, psi, phi are the vertical component w of displacement and angles which are measures of the amount of transverse shear. The three equations are coupled through terms which are multiples of a factor K called the coefficient of elasticity in shear.

Descriptors :   *BOUNDARIES, *PLATES, COEFFICIENTS, DISPLACEMENT, ELASTIC PROPERTIES, EQUATIONS, INERTIA, PHYSICAL PROPERTIES, ROTATION, SHEAR PROPERTIES, STABILIZATION, THINNESS, TRANSVERSE, VARIABLES, VERTICAL ORIENTATION, CONTROL THEORY, TIMOSHENKO BEAM

Subject Categories : Mechanics
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE