Abstract
In this paper, we show a method for analyzing free vibrations of thin cylindrical shells with noncircular cross sections which have been used in chemical plants, atomic plants, flight structures and so on. This method is a general one applicable to various noncircular cylindrical shells. As the first step, we obtain an exact solution of a noncircular cylindrical shell with freely supported ends. By the numerical calculations, we obtain natural frequencies and mode shapes of elliptical cylindrical shells and clarify their characteristics.
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