Free Vibrations of Hyperboloidal Shells of Revolution

by Robert L. Carter,
Arthur R. Robinson,
William C. Schnobrich,

Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 5, Pg. 1033-1052

Document Type: Journal Paper


A bending theory of shells is used to determine natural frequencies and mode shapes of a hyperboloid of one sheet. Since these shells are commonly used for cooling towers, the character of the free vibration is of interest. The problem is formulated for a general shell of revolution of which the hyperboloid is considered as a special case. A generalization of the Holzer method is used to solve the eigenvalue problem, and the governing differential equations are integrated numerically with the aid of a technique for suppressing rapidly growing solutions.

Subject Headings: Bending (structural) | Natural frequency | Cooling towers | Vibration | Eigenvalues | Differential equations | Numerical methods

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