Free Vibrations of Cable in Three Dimensions

by William M. Henghold, Assoc. Prof.; Dept.of Civ. Engrg., Engrg. Mechanics and Materials, U.S. Air Force Academy, Colorado,
Joseph D. Morgan, III, Assoc. Prof.; Dept. of Civ. Engrg., Engrg. Mechanics and Materials, U.S. Air Force Academy, Colorado,
John J. Russell, Assoc. Prof.; Dept. of Civ. Engrg., Engrg. Mechanics and Materials, U.S. Air Force Academy, Colorado,


Serial Information: Journal of the Structural Division, 1977, Vol. 103, Issue 5, Pg. 1127-1136


Document Type: Journal Paper

Discussion: Hegab Hassan I.A. (See full record)
Discussion: Batchelor Barrington deV. (See full record)
Closure: (See full record)

Abstract: The results of an extensive analysis of the three-dimensional free vibration of a single span cable, using nonlinear finite elements, is presented. The method provides excellent results throughout the spectrum of end conditions and geometric nonlinearity. For a homogeneous cable of constant cross section, the nonlinear equilibrium position and the natural frequencies were shown to depend only on the end conditions and the stiffness-to-weight ratio. It has been demonstrated that results of engineering usefulness can be obtained from plots made for a typical value of the stiffness-to-weight ratio since realistic deviations from this value result in only minor changes in the frequencies. An empirical formula based on static calculations, which gives a good approximation to the lowest natural frequency, has been presented.

Subject Headings: Cables | Three-dimensional analysis | Vibration | Nonlinear analysis | Nonlinear finite element analysis | Natural frequency | Stiffening | Value engineering

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