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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2019, Volume 51, Issue 4, Pages 541–554 (Mi pmf33)

MATHEMATICAL PHYSICS. MATHEMATICAL MODELING

Mathematical modeling of split wire motions. part I: motion «in the whole»

V. I. Vanko

Bauman Moscow State Technical University

Abstract: In the article the integral approach develops near research of the electricity overhead line split wire vibrations: by virtue of kinematics suppositions all split phase (the system «wires - spacers») is examined as some hypothetical heavy filament, properties of that are determined by mechanical characteristics of wires and spacers, formative the split phase. The phase motion equations are presented «on the whole»' in dependence of the phase configuration; certain conclusions are done about spacers arrangement in split wire span, maximizing the vibrations decrement of mechanical system «wires - spacers». All the theoretical conclusions lean against known in world literature experimental results.

Keywords: electrical overhead line, split phase (wire), system “wires - spacers”, vibration equations, spacers' optimal arrangement.

UDC: 534.11

DOI: 10.18413/2075-4639-2019-51-4-541-554



© Steklov Math. Inst. of RAS, 2026