Rotko S. Calculation of stability and strength of orthotropic cylindrical shells and rods with account of transversal shear and pressurizing has been developed.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U004066

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

10-10-2007

Specialized Academic Board

Д 32.075.01

Essay

The dissertation is dedicated to the investigation of the stress-strain condition of orthotropic cylindrical shells and rods on the basis of equation's modification of S.Ambartsumyan's and R.Christensen's theories of shells. New models of orthotropic cylindrical shells and rods have been constructed. The equations of these models take into account, besides the effects of transversal shear, deformations of transversal pressurizing and Poisson effect. Calculation for stability of shells and rods has been performed. New engineering formulas for upper boundary of critical force from compression and lateral load for cylindrical shells were obtained. Comparisons with corresponding results of three-dimensional theory of stability, as well as with the results of experimental investigations are presented. Efficient model of flexure and stability of circular composite rings and arches, which takes into account deformations of transversal shear, transversal pressurizing and Poisson effect, has been constructed. Technique for calculation of orthotropic cylindrical shells and rods damaged with surface cracks has been elaborated. New formulas for determination of SIF in a cylindrical shell with inner surface crack under pressure are offered. It is shown that the SIF value depends both on the thickness of the shell and on the form of the crack. The value of SIF grows with the increase of crack ellipticity . Plots of boundary loads for the damaged with a crack circular composite ring compressed with diametrical forces are constructed. Solution of the problem on cylindrical shell under circumferential pin-loading with account of effects of transversal shear and pressurizing is obtained. Comparative calculation results are presented. The effect of transversal pressurizing upon distribution of contact pressure at interaction a cylindrical shell with rigid arrest strip, that has a parabolic base, has been investigated. It is shown that ignoring transversal pressurizing at calculation of contact pressure under the arrest strip leads to obtaining results which do not correspond to physical conditions of the problem.

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