The dynamic stability of a cylindrical orthotropic shell reinforced by longitudinal ribs and a hollow cylinder under the action of axial forces changing harmonically with time was investigated with regard for the axial contact interaction of the shell with the ribs. A solution of the differential equations defining this process has been obtained in the form of trigonometric series in the angular and time coordinates. A two-term approximation of the Mathieu–Hill equations of motion was used for construction of the main region of instability of the shell. As a result, the problem was reduced to a system of algebraic equations for components of displacements of the shell at the locations of the ribs. The problem for uniformly spaced ribs was solved in the explicit form. A numerical example of this solution is presented.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 89, No. 3, pp. 742–747, May–June, 2016.
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Bakulin, V.N., Volkov, E.N. & Nedbai, A.Y. Dynamic Stability of a Cylindrical Shell Reinforced by Longitudinal Ribs and a Hollow Cylinder Under the Action of Axial Forces. J Eng Phys Thermophy 89, 747–753 (2016). https://doi.org/10.1007/s10891-016-1435-3
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DOI: https://doi.org/10.1007/s10891-016-1435-3