The analytical solution of a boundary value problem for a differential equation of
deforming shallow shell rectangular in plane reinforced by ribs of variable stiffness is
received. The decision is presented in the form of a series from combinations of regular and
special discontinuous functions. This decision leads to quickly converging series and simple
computing algorithm. The example of calculation of a reinforced cylindrical panel is given.
Keywords: shallow shell rectangular; differential equation of deforming; numerical-analytical method of calculating.
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