Abstract: | The problem on the stress state of thin layered conic shells consisting of rigidly joint layers is considered. The material
of the layers has one plane of elastic symmetry. The thickness of each layer in the meridional direction varies linearly in
such a manner that it is proportional to the distance from the axis of rotation to the coordinate surface and varies arbitrarily
in the circumferential direction. The desired functions are represented by the product of a power function of the radial coordinate
and the unknown function of the central angle in the cross section. This makes it possible to separate out the radial coordinate
and to derive the resolving system of ordinary differential equations, which is solved numerically. An example of the solution
of a specific problem is given.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 5, pp. 81–88, May, 2000. |