Discussion on free vibration analysis of rotating circularcylindrical shells

Rotating circular cylindrical shells are popular mathematical models for many industrial centrifuges.Coriolis and centrifugal accelerations affect dynamic behavior of these structures,considerably. Up to now, many articles have been published in the literature on this subjectand different mathematical models have been developed to account for body inertia forcesand corresponding initial static deformations. A survey shows that a part of geometrical stiffnessdeveloped by initial deformations is neglected in mathematical models or numerical datapublished previously. Here in, governing equations of the system are extracted using Lagrangemethod and numerical data are provided to study the effect of the neglected part onsystem dynamic behavior. Numerical simulations indicate in some vibrating modes and forthe case of relatively high rotational speeds, the natural frequencies obtained by the mentioned methods show significant differences

Keywords:

free vibration , rotating cylinders , geometrical stiffness ,