A simplified method for lateral response analysis of suspension bridges under wind loads

Abstract

SUMMARYA simpliÿed method for analysing lateral response of suspension bridges under wind loads is proposed in this paper. The geometric non-linearity in the de ection theory and the three components of displacement-dependent wind loads are taken into account in the method. The analytical formulas for calculating the torsional, vertical, and lateral responses of suspension bridges under wind loads are derived. An iterative procedure, which has a high convergence rate for solving the problem, is developed. The proposed method is su cient and simple to use. Wind-induced lateral response analysis of a long-span suspension bridge demonstrates the proposed method's e ciency and accuracy.

Mathematical Modeling for Lateral Displacement Induced by Wind Velocity Using Monitoring Data Obtained from Main Girder of Sutong Cable-Stayed Bridge

“…Based on monitoring data from main girder of Sutong Cable-Stayed Bridge, time series of lateral girder displacement effect are mathematically modeled by methods of fitting Fourier series and Gaussian series, combined models of ARMA (7,4) and EGARCH(2,1), and harmonic superposition function. And conclusions can be drawn as follows.…”

“…Simulation for time series of discreteness 2 ( ) and static displacement ( ). Based on the mathematical models of ARMA (7,4) and EGARCH(2, 1) with estimated parameters, time series of simulative processed discreteness are shown in Figure 14(a), and through inverse calculation of first-order difference, time series of simulative original discreteness 2 ( ) are obtained as shown in Figure 14(b). Together with time series of fitting static displacement 1 ( ) in Figure 8(b), time series of simulative static displacement ( ) are ultimately shown in Figure 14(c), definitely similar to time series of monitoring static displacement in Figure 5(b).…”

“…Theoretical exploration, numerical simulation, and wind tunnel tests for lateral displacement response have been carried out to some extent. Cheng and Xiao improved the calculation method for aerostatic stability and further concluded that instable lateral displacement was 4.24 m under critical static wind [4]; Long et al analyzed lateral displacement response from Sidu Suspension Bridge through ANSYS finite element simulation and concluded that maximum lateral displacement at middle span was 32.26 cm, which is close to 1/1000 length of main span [ lateral displacement response from Xihoumen Suspension Bridge through wind tunnel tests and concluded that lateral displacement at horizontal angle 10 ∘ was larger than that of other angles [6].…”

Evaluation of the Wind‐Resistant Performance of Long‐Span Cable‐Stayed Bridge Using the Monitoring Correlation between the Static Cross Wind and Its Displacement Response

“…where ρ is the air density, C H is the resistance coefficient, and H is the projection height of the flat steel box girder. Furthermore, the static displacement response D s is induced by the static cross-wind load F, which can be modeled using one second-order polynomial function (abbreviated as TPF) as follows [31]:…”

Bayesian approaches for evaluating wind‐resistant performance of long‐span bridges using structural health monitoring data

“…Theoretical exploration, numerical simulation, and wind tunnel tests have been conducted in an attempt to comprehend the lateral displacement response of long‐span bridges. Cheng and Xiao 5 proposed a simplified method for evaluating lateral response that takes into account geometric nonlinearity and the three components of displacement‐dependent wind loads. Chan 6 formulated a structural health monitoring system (SHMS)‐refined finite element model for buffeting analysis of a long‐span bridge and compared the computed buffeting‐induced displacement with the measurement results.…”