Аннотация
The problem of free in-plane nonlinear nearly harmonic vibrations of elastic suspended
cables is investigated, with particular emphasis on the configuration of multiple spans.
coupled via suspension strings, which is relernnt in the context of overhead transmission
lines. A systematic asymptotic theory is de\·eloped, for a suitable set of small parameters
based on a shallow geometry and the presence of only transversal waves. The
finally obtained reduced set of equations is solved by a variant of the Lindstedt-Poincare
technique. The (non-trivial) solutions for multiple spans appear to be gravity wa\·es,
considerably different from the elasto-gravity waves in the symmetric single span configuration
(which is included for reference). An internal resonance is disco\·ered gi,·ing
a new explanation to the practically observed asymmetry of the vertical displacement.
Application of the theory to describe the reaction force induced to a suspension string
is indicated.
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