Journal of Theoretical
and Applied Mechanics

15, 2, pp. 239-245, Warsaw 1977

Techniczna teoria grubych tarcz ortotropowych

Jerzy Kujawski
The paper presents an improved calculation method of thick orthotropic plates subject to the action of arbitrary surface and body forces. The problem is solved in displacements what makes it possible to satisfy precisely the relations of the theory of linear elasticity for orthotropic three-dimensional body, except the equilibrium equations which are satisfied in the general sense. The obtained system of three eighth order differential equations allows for determining the unknown of displacement functions satisfying three boundary conditions on the cylinder surface bounding the plate. In moderately thick plates the equation order may be reduced to six by disregarding the small terms of higher order.