INVESTIGATION OF STRAIN - STRESS STATE OF CYLINDRICAL SHELLS ON THE BASIS OF THREE-DIMENSIONAL THEORY OF ELASTICITY EQUATIONS
As part of a coherent energy in the direction of the refined theory of shells is considered in relation to the classical theories such as Kirchhoff— Love and Timoshenko — Reissner theory calculation of the strain — stress state (SSS) of cylindrical shells. We present two-dimensional equations and corresponding boundary conditions of the problem, obtained on the basis of three — dimensional equations of elasticity theory, the principle of virtual displacements and expansion of the unknown displacements in the polynomial series in normal coordinates. For practical calculations are applied fairly low degree polynomials, allowing to take into account the transverse tensile strain and shear, as well as self-equilibrated edge states of stress. In solving the two-dimensional equations using the method of operating. The influence of the boundary conditions and thickness of the cylindrical shell on the values of the components in the areas of SSS distortion of the stressed state. A comparison with the results calculated by the classical and iterative theories ofshells.