Research Article
Apr 1967

Natural Frequencies of Horizontally Curved Beams

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Publication: Journal of the Structural Division
Volume 93, Issue 2

Abstract

The solution of the equations governing the transverse, coupled, free vibration of doubly symmetric, horizontally curved beams is examined in this paper. For curved beams with simple supports, the exact solution to these equations is given. For curved beams with other than simple supports, an approximate solution based on the Rayleigh-Ritz method is presented. Simple formulas for calculating the natural frequencies of horizontally curved beams are given.

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Journal of the Structural Division
Volume 93Issue 2April 1967
Pages: 189 - 204

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Published in print: Apr 1967
Published online: Feb 1, 2021

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Charles G. Culver, AM.ASCE
Asst. Prof., Carnegie Inst. of Tech., Pittsburgh, Pa.

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