Singular Perturbation Method for Solving Non-linear Vibration of Stay Cable (II)--Engineering Application

摘要

According to vibration characteristic of cable in cable-stayed bridges, the non-linear dynamic model of cables was set up. The vibration differential equation is deduced using the singular perturbation method. The stiffness and coupling boundary conditions of simple and fixed are introduced in the cable force analysis. The useful formulation of measuring techniques for cable force using frequency method is advanced. Results of analyses indicate that the formulation is high in accuracy and convenient in practice. The formulation was used to the cable-stayed construction control of Nanjing Yangtze River No.3 Bridge. The cable force was calculated with test data of vibration, and compared to cable force of design and pressure sensor. The method can be widely used for field of measurement during the construction of cable system structures.