This invention relates to a method for predicting the critical
flutter wind speed of long-span bridges based on the L-P
perturbation method, comprising the following steps: S1, obtaining the physical characteristics and aerodynamic parameters of the bridge as basic data through wind tunnel tests; S2, establishing the bridge
motion control matrix equation based on
modal displacement; S3, deriving explicit solutions for the
modal frequencies, damping ratios, and
modal characteristics of each modal
branch based on the L-P
perturbation method; S4, iteratively solving the modal frequencies, and directly solving the
damping ratio,
amplitude ratio, and
phase difference on this basis, observing the change of the
modal damping ratio ξ with the
wind speed U in each direction, and determining the critical
flutter wind speed; solving the problem that the existing explicit closed-
form solution of the three-degree-of-freedom
flutter initiation condition requires multiple iterative calculations of the modal frequencies, damping ratios, and mode shapes, and is difficult to clearly explain the influence of structural and aerodynamic parameters on aerodynamic
instability, thus failing to accurately predict the critical flutter wind speed of long-span bridges.