Abstract
A variety of structural design problems in nuclear engineering require a knowledge of the dynamic response of variable thickness shells. Specific examples are natural draft cooling towers subjected to wind loading, and the core support barrel of a pressurized water reactor during a loss of coolant accident, where the maximum radial deflection due to hydrodynamic loading is a critical design parameter. These applications indicate the relevance of the present paper which investigates the free vibration and transient response of a circular cylindrical shell of linear varying thickness. Mode shapes and frequencies, calculated in the free vibration analysis, are used in a modal solution for the transverse displacement and bending stress of the forced vibration problem. Numerical results are presented for two clamped cylinders subjected to a triangular pressure-time history. Application of the analysis to constant thickness cylinders which are linearly thickened near a clamped support is discussed.
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