Research on the Free Vibration of the Arch Bridge During Cable Hoisting or Rotation Erection Using an Analytical Modeling

Purpose A planar cantilever cable-stayed arch model with root rotational elastic constraint (RREC) is built to study the free vibrations (i.e., mode localization and frequency avoidance) of the arch bridge during the cable hoisting or rotation erection. Method With the application of the isolating/assembling technique between chained cable-arch substructures and coefficient vector transferring technique for the arch segments, both the global governing equation and the characteristic equation are ascertained to obtain the modes and frequencies. The efficiency of the presented analytical method (PAM) is demonstrated by the finite element method (FEM) through an arch bridge during the largest/typical cantilever erection state. The influences of the motion-sensitive parameters are investigated. Results and conclusion The results show the vibratory behaviors are sensitive to these parameters in some intervals, both mode localization and frequency avoidance are observed in the frequency spectrum. The PAM and the results provide suggestions to improve and perfect the parametric design of arch bridge by avoiding the unstable zones associated with the mode localization and frequency avoidance.