Abstract
The construction of a mathematical model describing the effect of flooding on the stress-strain state of a thin flat spherical shell of a titanium layer loaded with an equidistributed load using a nonlinear model is considered. By A.A. Treshchev. The load is adopted in such a way that the deflections of the shell are small. Fix of the shell is hard. An algorithm was developed to solve this class of problems. A practical solution was produced by the two-step method of sequential perturbation of parameters using the MatLab and Maple application software package. To derive and solve the system of resolving differential equations, the finite difference method was applied. A comparison of the results obtained with the results of the classical theory.
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