An algorithm for the quantitative analysis of mathematical models of deformation of a cylindrical shell

An intensive use of cylindrical shells for the construction of water supply lines, gas and oil pipelines, as well as tanks used in chemical industries and ships, submarines, and aircrafts structures stimulates the development of various mathematical models describing their stress-strain states. The roots of the characteristic equations of well-known mathematical models of a cylindrical shell are compared and analyzed. It has been found that the roots (both real and complex) differ qualitatively, which involves the analysis of the mathematical models. For this purpose, an efficient algorithm for analytical solutions of test boundary value problems for the comparative quantitative analysis of the mathematical models of mechanics of shells has been developed.

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