Transient Elastic Waves in a Fluid-Filled Cylinder

by Wilton W. King,
Daniel Frederick,

Serial Information: Journal of the Engineering Mechanics Division, 1968, Vol. 94, Issue 5, Pg. 1215-1230

Document Type: Journal Paper


Using membrane and bending theories of thin elastic shells, analyses of the early stages of water hammer are presented. Some of the restrictions of the elementary one-dimensional theory are relaxed so that the effects of radial components of acceleration of the fluid and of the shell can be assessed. A finite Hankel transform is employed to generate partial differential equations which are integrated numerically by the method of characteristics.

Subject Headings: Transient response | Elastic analysis | Cylinders | Membranes | Bending (structural) | Water management | Radiation | Differential equations

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