TY - JOUR
T1 - Bifurcation analysis of a parametrically excited inclined cable close to two-to-one internal resonance
AU - Marsico, Maria Rosaria
AU - V., Tzanov
AU - Wagg, DJ
AU - Neild, SA
AU - Krauskopf, B
PY - 2011/11
Y1 - 2011/11
N2 - This paper presents a study of how different vibration modes contribute to the dynamics of an inclined cable that is parametrically excited close to a 2:1 internal resonance. The behaviour of inclined cables is important for the design and analysis of cable-stay bridges. In this work the cable vibrations are modelled by a four-mode model. This type of model has been used previously to study the onset of cable sway motion caused by internal resonances which occur due to the nonlinear modal coupling terms. A bifurcation study is carried out with numerical continuation techniques applied to the scaled and averaged modal equations. As part of this analysis, the amplitudes of the cable vibration response to support inputs is computed. These theoretical results are compared with experimental measurements taken from a 5.4 m long inclined cable with a vertical support input at the lower end. In general this comparison shows a very high level of agreement.
AB - This paper presents a study of how different vibration modes contribute to the dynamics of an inclined cable that is parametrically excited close to a 2:1 internal resonance. The behaviour of inclined cables is important for the design and analysis of cable-stay bridges. In this work the cable vibrations are modelled by a four-mode model. This type of model has been used previously to study the onset of cable sway motion caused by internal resonances which occur due to the nonlinear modal coupling terms. A bifurcation study is carried out with numerical continuation techniques applied to the scaled and averaged modal equations. As part of this analysis, the amplitudes of the cable vibration response to support inputs is computed. These theoretical results are compared with experimental measurements taken from a 5.4 m long inclined cable with a vertical support input at the lower end. In general this comparison shows a very high level of agreement.
U2 - 10.1016/j.jsv.2011.07.027
DO - 10.1016/j.jsv.2011.07.027
M3 - Article (Academic Journal)
SN - 1095-8568
VL - 330
SP - 6023
EP - 6035
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
ER -