The weakly nonlinear, freely vibrating motion of a system of coupled spans of suspended overhead transmission lines is studied. It is shown that the natural vibration is the gravity mode, of which the unsteady tension component vanishes in the first harmonic. The problem was born out of a study of the phenomenon of galloping, which is a high amplitude periodic oscillation of overhead transmissi...

1Department of Mechanical Engineering, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands 2Department of Civil, Environmental & Geo-Engineering, University of Minnesota, Minneapolis, USA 3Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands 4Well Engineering Design, Nederlandse Aardolie Maatschappij B.V. (NAM), The Netherlands 5Wells ...

Transverse vibrations of Timoshenko type beams carrying a concentrated mass have been investigated. Both ends of this mass-beam system have simply supports. Hamilton Principle has been used in order to derive equation of motion . For this coupled differential equations, approximately solutions have been searched by means of Method of Multiple Scales(a perturbation method). These solutions consi...