The increased usage of laminated, composite materials in structural applications has resulted in the necessity of analytical investigations of these structures with respect to their static and dynamic response. An important vibration problem of thin cylindrical shells is the prediction of vibratory response of such shells subjected to membrane stresses. These stresses may be due to pressures, axial compressions, torques, temperatures, etc. This paper is aimed at the development of an analytical method to treat the free vibrations of laminated-composite, circular, cylindrical shells subjected to initial stresses.

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