VIBRATION CHARACTERISTICS OF THIN CIRCULAR-CYLINDERS

In this paper an unified treatment is given to the problems of vibration characteristics of thin circular cylindrical shells with various end conditions with the aid of the kinematic relations of the first-order shell theory of Sanders. A simple variational technique is applied to give a cubic frequency equation. This cubic is reduced to two simple linear relations for the frequency parameter by incorporating an engineering approximation relating deflections in two different ways: (i) in general, (ii) in the inertia components only. It is shown that the linear formula obtained by (ii) is much superior to that obtained by (i) and also to the much more complicated cubic equation to some extent. Expressions for evaluating mode shapes are also given. Results found by using the present technique are compared with some previous exact analysis results. Frequencies calculated in the case of a given cylinder are shown to be in good agreement with some available observed results. © 1979.