DYNAMIC STABILITY OF A CYLINDRICAL SHELL REINFORCED BY LONGITUDINAL RIBS AND A HOLLOW CYLINDER UNDER THE ACTION OF AXIAL FORCES

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 defi ning 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.
   
Author:  V. N. Bakulin, E. N. Volkov, and A. Ya. Nedbai
Keywords:  dynamic instability, cylindrical orthotropic shell, longitudinal ribs, stability region, hollow cylinder
Page:  747