Abstract：Using the Hamilton principle and the effects of the dynamic and static configuration of the cable and beam, the equations of motion of the cable-stayed beam can be obtained. Considering the boundary and continuity conditions, the in-plane eigenvalue problem is investigated. By introducing the piecewise function, the mode shapes can be obtained. Then, the effects of the sag-to-span ratio f, stiffness ratio K and mass ratio m on the in-plane natural frequencies of the cable-stayed beam are studied. It is shown that the curve veering phenomenon can be observed in the natural frequency spectrum of the system. The frequency crossover phenomenon is obvious. Considering the local mode and global mode, the mode shapes of the cable-stayed beam are discussed. Finally, the possible internal resonances such as 1:1 and 1:2 are discussed. Researches show that the static configuration of the beam influences not only the force continuity conditions, but also the natural frequency of the cable-stayed beam.
2014, Vol. 35 
