Article,
DYNAMIC STABILITY OF CIRCULAR CYLINDRICAL SHELLS UNDER PERIODIC SHEARING FORCES
Journal of Sound and Vibration, 45 (4): 513-527 (1975)
Abstract
On the basis of the Donnell type equations modified with the transverse inertia force,
the dynamic stability of circular cylindrical shells under periodic shearing forces is theoretically
analyzed under four different boundary conditions. The Galerkin procedure is used
to reduce the problem to that for a finite degree-of-freedom system, the stability boundaries
of which are determined by utilizing Hsu's general result for the coupled Hill's equations.
Calculations are carried out for typical shells under each boundary condition and the
instability regions of practical importance, associated with both principal and combination
parametric resonances, are clarified for relatively low frequency ranges, with the effect of
static shearing forces taken into consideration.
