Experimental Study of the Vibrations of a Circular Cylindrical Shell
William G. Gottenberg
Abstract
William G. Gottenberg
Abstract
An apparatus is described which permits the mode shape of a vibrating circular cylindrical shell to be obtained quite easily. These measurements are made without contacting the cylinder and can be converted to actual lineal values. A representative number of results obtained with such a system are shown to illustrate the relationship between the nodal pattern and frequency in a cylinder as well as the effect of internal pressure on these frequencies. Finally, comparisons are made between these results and Timoshenko theory and an appropriate shell theory.
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An apparatus is described which permits the mode shape of a vibrating circular cylindrical shell to be obtained quite easily. These measurements are made without contacting the cylinder and can be converted to actual lineal values. A representative number of results obtained with such a system are shown to illustrate the relationship between the nodal pattern and frequency in a cylinder as well as the effect of internal pressure on these frequencies. Finally, comparisons are made between these results and Timoshenko theory and an appropriate shell theory.
Key concepts: Shell (structure), Cylinder, Vibration, Shell theory, Mechanics, Internal pressure, Physics, Acoustics