2-PARAMETER ASYMPTOTIC ANALYSIS OF THE DYNAMIC EQUATIONS OF THE THEORY OF ELASTICITY FOR THE BENDING OF A PLATE

Authors
KAPLUNOV YD NOLDE YV
Citation
Yd. Kaplunov et Yv. Nolde, 2-PARAMETER ASYMPTOTIC ANALYSIS OF THE DYNAMIC EQUATIONS OF THE THEORY OF ELASTICITY FOR THE BENDING OF A PLATE, Journal of applied mathematics and mechanics, 56(5), 1992, pp. 645-650
Citations number
5
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
56
Issue
5
Year of publication
1992
Pages
645 - 650
Database
ISI
SICI code
0021-8928(1992)56:5<645:2AAOTD>2.0.ZU;2-Z
Abstract
The three-dimensional dynamical equations of the theory of elasticity for the bending of a plate are subjected to asymptotic analysis. Two d imensionless parameters (the exponents of variability and dynamism) ch aracterizing the stress-strain state (SSS) of the plate are varied ind ependently. The asymptotic behaviour of the SSS is established for dif ferent parameter values. Cases are found in which the equations of cla ssical plate theory do not furnish a first asymptotic approximation of the equations of the theory of elasticity.