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An asymptotic theory for the free vibrations of an iced two-conductor bundled transmission line

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Book cover Asymptotic Analysis II —

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 985))

Abstract

A theory is presented for the calculation of the free vibrations of an iced two-conductor bundled transmission line. As a model a system of two shallow elastic catenaries, connected by rigid massless spacers is considered. The effect of ice-coating is taken into account by assuming that the two catenaries have different mass per unit length. The theory includes a dynamic coupling between the vertical and torsional vibrations. This coupling may result in internal resonance of torsional and vertical modes of vibration; the excitation of the latter mode may be associated with the starting mechanism of galloping. In the conclusions some open problems are formulated concerning the asymptotic character of the approximations.

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References

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F. Verhulst

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© 1983 Springer-Verlag

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van der Burgh, A.H.P. (1983). An asymptotic theory for the free vibrations of an iced two-conductor bundled transmission line. In: Verhulst, F. (eds) Asymptotic Analysis II —. Lecture Notes in Mathematics, vol 985. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062379

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  • DOI: https://doi.org/10.1007/BFb0062379

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12286-9

  • Online ISBN: 978-3-540-39612-3

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