A Multiscale Finite Element Model Validation Method of Composite Cable-Stayed Bridge Based on Structural Health Monitoring System

Abstract

A two-step response surface method for multiscale finite element model (FEM) updating and validation is presented with respect to Guanhe Bridge, a composite cable-stayed bridge in the National Highway number G15, in China. Firstly, the state equations of both multiscale and single-scale FEM are established based on the basic equation in structural dynamic mechanics to update the multiscale coupling parameters and structural parameters. Secondly, based on the measured data from the structural health monitoring (SHM) system, a Monte Carlo simulation is employed to analyze the uncertainty quantification and transmission, where the uncertainties of the multiscale FEM and measured data were considered. The results indicate that the relative errors between the calculated and measured frequencies are less than 2%, and the overlap ratio indexes of each modal frequency are larger than 80% without the average absolute value of relative errors. These demonstrate that the proposed method can be applied to validate the multiscale FEM, and the validated FEM can reflect the current conditions of the real bridge; thus it can be used as the basis for bridge health monitoring, damage prognosis (DP), and safety prognosis (SP).

Seismic Damage Identification of Composite Cable-Stayed Bridges Using Support Vector Machines and Wavelet Networks

“…Moreover, if the response of the viscously damped system is H and θ is the parameter of the system, P is the external load [30]. This equation can be rewritten as,…”

“…Such as Oberkampf and Roy [29] proposed a Bayesian statistical method for damage identification. Zhong, Zong, Liu, and Zhou [30,31] estimated the multi-scale model validation method of bridges based on structural health monitoring (SHM) system.…”

Mass‐Stiffness Combined Perturbation Method for Mode Shape Monitoring of Bridge Structures

“…Moreover, the efficiency of the frequency-based methods depends on the analytical finite element model (FEM) as well as the accuracy of the information measured on site [11]. Most studies in the literature assume that a nondamaged (intact) FEM is precise enough to simulate the vibration properties of the structures [26][27][28][29][30]. However, in reality, these models include a number of uncertainties, such as modeling and measurement errors, inaccurate physical parameters, idealized boundary conditions, and nonlinearity in the structural properties, which might play an important role in the simulation of the natural frequencies [31].…”

Multi-scale finite element model validation method of cable-stayed bridge based on the support vector regression

“…However, at present, the researches about model validation are mostly for the traditional FEM and there are less works on the multi-scale model updating and validation. Zhong et al (2013Zhong et al ( , 2015 presented a multi-scale FEM updating method of large-span cable-stayed bridges based on two-phase response surface method and its application proved that it can be adopted further for the multi-scale damage detection and multi-scale damage prognosis. Zhong et al (2016) provided a method for multi-scale FEM validation based on the two-step multi-scale FE model updating method and probability box (P-box) theory.…”