Free and Forced Vibrations of Hyperboloidal Shells of Revolution
Carter, R.L.; Robinson, A.R.; Schnobrich, William C.
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https://hdl.handle.net/2142/14206
Description
Title
Free and Forced Vibrations of Hyperboloidal Shells of Revolution
Author(s)
Carter, R.L.
Robinson, A.R.
Schnobrich, William C.
Issue Date
1968-02
Keyword(s)
Shells (Engineering) — Vibration.
Wind-pressure.
Abstract
The purpose of this research is to study the free and forced vibrations of hyperboloidal shells of revolution. Shells of this form
are commonly used as cooling towers for electricity generating units and chemical plants. A stiffening ring at the base of these structures restrains any displacement or rotation. consequently, the boundary conditions of interest correspond to a shell which is clamped atone edge and free at the other boundary.The problem is formulated for a general shell Of revolution of which the hyperboloid is considered as a special case. The investigation is limited to thin shells of a linearly elastic, homogeneous, isotropic material and to small strains and rotations. However, an approximate solution can be obtained for thin sandwich shells. Although attention is given to shells with clamped-free boundary conditions, other boundary conditions may be considered.
Publisher
University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
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