D. I. Chernopiskii

Determination of the stressed-strained state of nonthin transversally isotropic spherical shells with elastically stiffened curvilinear holes

An approximate analytical method has been developed for determining the stressed-strained state of nonthin transversally isotropic shallow spherical shells with noncircular elastic inclusions or stiffened holes, under both ideal and nonideal contact at the interface. The method is based on two tried and tested analytical methods—the method of Fourier expansion of the required functions using Legendre polynomials and the second version of the perturbation method for the boundary shape.

Flexural rigidity of a three-layer cylindrical shell with a honeycomb filler

Relationships are obtained for determining the reduced flexural rigidity of three-layer cylindrical shells with a honeycomb filler of various geometrical structures. Numerical calculations are provided for determining the flexural rigidity of a cylindrical shell with different geometric parameters and a honeycomb filler. As a special case numerical values are compared for the flexural rigidity of a plate stiffened by two cross ribs by the procedure and theory suggested by S. P. Timoshenko.

Stress state of honeycomb circular plates in uniaxial compression

Equations are derived for determining the relative density of honeycomb plates with triangular, square, hexagonal, and circular cells. The results are used to derive equations for determining the geometrical dimensions of these forms of the cells of honeycomb sheets of the equal density. The results are presented of experimental examination, by the polarization-optical method, of the stress state of elastic circular honeycomb plate with triangular, square, hexagonal, and circular cells under uniaxial compression. For specific geometrical characteristics the results of these experiments are presented in the form of fringe patterns obtained in a circular polariscope which were then used to calculate the maximum stresses at characteristic points of bridges of the honeycomb plates. For each type of structural heterogeneity of a circular plate loading was carried out in the two most typical directions coinciding with the diameter of the plate.