Taking into account the effect of the chord component of the gravity in the nonlinear free vibration of inclined cables, the nonlinear equations of motion for an inclined cable were developed. The sag differential equation and nonlinear free vibration equation of the sag are established, and the sag differential equation is solved with the method of power series. Galerkin’s method was used to convert the nonlinear partial differential equations into ordinary differential equations. The approximate solution of the equations was obtained with perturbation method. The corresponding numerical method was developed and compared with theoretical solution. Vibration characteristic of inclined cables is studied considering the change of forces. A more precise function was chosen to approximate the catenary sag, which is more precise than the parabola. Total mass of inclined cable increases with the increasing of the length, so the effect of the chord component of the gravity on the vibration of inclined cables must be considered.
Key words
Cable Stayed Bridges /
Inclined Cables /
Nonlinear Vibration /
Chord Component
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