VIBRATION AND WAVE PROPAGATION IN CYLINDRICAL SHELLS.
PENNSYLVANIA STATE UNIV UNIVERSITY PARK ORDNANCE RESEARCH LAB
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The generalized approximate equations of motion of a cylindrical shell are developed. The long wavelength, low frequency approximation is shown to be the zero order or Flugge approximation. The characteristics of the mode dispersion spectrum are investigated as a function of frequency for the first few roots for orders zero to four, including real, imaginary and complex wave numbers. The dependence of the complex and imaginary branches on shell geometric factors of thickness and radius are presented. Comparison is made to three-dimensional elasticity analysis and to Mirsky-Herrmann theory. The change from thin to thick shell behavior for the complex branch or end modes is traced. The radial displacement conditions for various end conditions of a thin cylindrical shell are given. Expressions are also given for the various shell impedances. Author
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