TITLE:
To the Solution of Three-Dimensional Problems of Oscillations in the Theory of Elasticity in Thick Plates of Variable Thickness
AUTHORS:
Мakhamatali К. Usarov
KEYWORDS:
Plate, Orthotropy, Infinite Series, Equation of Motion, Boundary Conditions, Bending and Oscillations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.10,
October
30,
2017
ABSTRACT: A technique for solving the three-dimensional problem of bending in the theory of elasticity in orthotropic plates of variable thickness is developed in the paper. On the basis of the method of expansion of displacements into an infinite series, the problem has been reduced to the solutions of two independent problems, which are described by two independent systems of two-dimensional infinite equations.