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The Quarterly Journal of Mechanics and Applied Mathematics 1980 33(2):227-234; doi:10.1093/qjmam/33.2.227
© 1980 by Oxford University Press
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ENERGY RELATIONS FOR A SUSPENDED CABLE

H. M. IRVINE

( Department of Civil Engineering, Massachusetts Institute of Technology Cambridge, Massachusetts 02139, U.S.A. )

Explicit expressions are developed, in suitable dimensionless form, for the contributions to the potential energy of a uniform flat-sag suspended cable responding in a linear elastic manner to static or dynamic loads. The contributions, be they gravitational or extensional, are compared with either the work done by the statically applied external loading or the total energy within a particular symmetric mode of vibration. Limiting forms are exposed and discussed.


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