Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Whirling motion of a shallow cable with viscous dampers
The paper deals with the non-linear dynamic analysis of cables with a pair of viscous dampers close to one support. Such cables are characterised by a sag-to-chord-length ratio below 0.02, for which natural frequencies for the vertical and the horizontal vibrations are pair-wise close. Under resonance the non-linear coupling of pairs of modes may cause whirling harmonic motions around the chord line. Whirling motion may occur after bifurcation from single-mode response for harmonic loads in either vertical or horizontal direction. The non-linear features are included in the two coupled modes, while all other modes are treated as linear. The motion is discretised by expansion in terms of the damped complex eigenfunctions. The applied base functions fulfil the transition condition at the damper, leading to fast convergence of the expansion. It is demonstrated that the behaviour of the whirling motion is controlled primarily by the damper acting in the direction of the unloaded mode, whereas the magnitude of the damper in the loaded mode is less important. If the dampers in the vertical and horizontal direction are close to the optimal value of the corresponding taut cable case, substantial reduction of the vibration level of the whirling mode as well as the frequency interval of its occurrence is attained.
Whirling motion of a shallow cable with viscous dampers
The paper deals with the non-linear dynamic analysis of cables with a pair of viscous dampers close to one support. Such cables are characterised by a sag-to-chord-length ratio below 0.02, for which natural frequencies for the vertical and the horizontal vibrations are pair-wise close. Under resonance the non-linear coupling of pairs of modes may cause whirling harmonic motions around the chord line. Whirling motion may occur after bifurcation from single-mode response for harmonic loads in either vertical or horizontal direction. The non-linear features are included in the two coupled modes, while all other modes are treated as linear. The motion is discretised by expansion in terms of the damped complex eigenfunctions. The applied base functions fulfil the transition condition at the damper, leading to fast convergence of the expansion. It is demonstrated that the behaviour of the whirling motion is controlled primarily by the damper acting in the direction of the unloaded mode, whereas the magnitude of the damper in the loaded mode is less important. If the dampers in the vertical and horizontal direction are close to the optimal value of the corresponding taut cable case, substantial reduction of the vibration level of the whirling mode as well as the frequency interval of its occurrence is attained.
Whirling motion of a shallow cable with viscous dampers
Wirbelbewegung eines flachen Kabels mit viskosen Dämpfern
Nielsen, S.R.K. (Autor:in) / Krenk, S. (Autor:in)
Journal of Sound and Vibration ; 265 ; 417-435
2003
19 Seiten, 9 Bilder, 2 Tabellen, 12 Quellen
Aufsatz (Zeitschrift)
Englisch
Design of viscous dampers targeting multiple cable modes
| Online Contents | 2009
Design of viscous dampers targeting multiple cable modes
| Online Contents | 2009
Seismic Response Reduction of Cable-Stayed Bridge with Viscous Dampers
| Trans Tech Publications | 2011
Seismic Response Reduction of Cable-Stayed Bridge with Viscous Dampers
| British Library Conference Proceedings | 2012