In this paper, the mechanism of rain-wind-induced vibration of inclined cables is further studied based on the theory of multi-degree-of-freedom cable element (Ma, 2003). After both influence of axial and out-of-plan vibrations of cable are neglected, the in-plan vibrations of cable are studied and the influence of water rivulet on aerodynamic forces are considered. A two degree-of-freedom nonlinear model of the coupling system is developed and the governing equations for the vibration amplitude are derived. Then Hurwitz discriminant is used to evaluate the kinematic stability of the system. When the damper or the stiffness of the system is negative, self-excited vibrations of the cable will occur, which is the essence of rainwind-induced vibration. Because there exits a limited cycle, the free vibration of the nonlinear system has a steady amplitude. By means of the harmonic balance method, the dynamic responses of the system are calculated. Numerical example is given to show that the developed model is reasonable and effective
Other ID | JA56UV55DZ |
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Journal Section | Articles |
Authors | |
Publication Date | July 23, 2016 |
Published in Issue | Year 2011 Volume: 1 Issue: 3 - Volume: 1 Issue: 3 |