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The taper degree influence of elastic-viscoplastic shell on the longitudinal distribution upon impact on its face

The article is devoted to mathematical modeling of the dynamic stress-strain state of an elastoviscoplastic rotation shell of finite length upon impact on its face. The mathematical model based on S. P. Timoshenko’s equations with using Binham’s model. The impact is simulated by presence on face of the shell of depending of time stress. On the opposite end of the shell the boundary condition is a hard seal. The solution is presented in the form of third order of accuracy Taylor’s row, constructed for the disturbed transfer wave fronts behind the incident and reflected from the boundary. Taylor’s row consists of terms, which were obtained with using differentiation of modified S. P. timoshenko’s equations. Under the taper degree refers to the difference of the radii at the ends of the shell divided by length. The article presents numerical results for various taper degrees.