The Quarterly Journal of Mechanics and Applied Mathematics 1953 6(3):273-285; doi:10.1093/qjmam/6.3.273
© 1953 by Oxford University Press
MODES OF VIBRATION OF A SUSPENDED CHAIN
,
DAVID S. SAXON and
A. S. CAHN
(
U. S. National Bureau of Standards Los Angeles, California
)
In the following paper a method is described for calculating the characteristic frequencies of a suspended inextensible chain vibrating with small amplitude in the plane of the catenary forming the equilibrium configuration. An asymptotic solution of the linearized equations of motion is obtained such that the accuracy of the results increases as the mode number increases and/or, as the catenary becomes flatter.

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