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).
Highlights
With the development of traffic enterprise, many structural health monitoring (SHM) systems have been implemented on cable-stayed bridge throughout the world; the importance of their damage detection and prognosis ability based on model has been recognized by highway administrations; the efficiency and accuracy of the finite element model (FEM) have a significant impact on the structural safety assessment [1,2,3,4,5,6]
Most of the previous studies concentrated on the laws of conservation of force, mass, and energy; it is difficult to confirm lots of coupling parameters based on these equilibrium equations in civil engineering, the efficiency and accuracy of the multiscale FEM cannot be achieved at the same time
Data was sampled at 200 Hz, and each setup for all tests was recorded for duration of 15 minutes; the frequencies and mode shapes were obtained based on peak picking (PP) and stochastic subspace identification (SSI) method
Summary
With the development of traffic enterprise, many SHM systems have been implemented on cable-stayed bridge throughout the world; the importance of their damage detection and prognosis ability based on model has been recognized by highway administrations; the efficiency and accuracy of the FEM have a significant impact on the structural safety assessment [1,2,3,4,5,6]. Zong et al [20, 21] completed FEM updating and validation method based on the response surface for a PC continuous rigid frame bridge. This paper presents a two-step response surface method for multiscale FEM updating and validation, and the organization is as follows.
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