Abstract
The bridge-vehicle interaction (BVI) system vibration is caused by the vehicles passing through the bridge. The road roughness has a great impact on the system vibration. In this regard, poor road roughness is known to affect the comfort of the vehicle crossing the bridge and aggravate the fatigue damage of the bridge. Road roughness is usually regarded as a random process in numerical calculation. To fully consider the influence of road roughness randomness on the response of the BVI system, a random BVI model was established. Thereafter, the random process of road roughness was expressed by Karhunen–Loeve expansion (KLE), after which the moment method was used to calculate the maximum probability value of the BVI system response. The proposed method has higher accuracy and efficiency than the Monte Carlo simulation (MCS) calculation method. Subsequently, the influences of vehicle speed, roughness grade, and bridge span on the impact factor (IMF) were analyzed. The results show that the road roughness grade has a greater impact on the bridge IMF than the bridge span and vehicle speed.
Highlights
Ereafter, a new stochastic FEM approach and the dynamics response of vehicle and bridge were analyzed
In order to study the dynamic response of vehicles crossing the bridge that fully considers the randomness of the road roughness, the moment method is applied to calculate the bridge-vehicle interaction (BVI) system, in which Karhunen–Loeve expansion (KLE) is used to mathematically express the random process of road roughness, whereas the point estimate method (PEM) is used to calculate the statistical moment of the response. e system response can be evaluated quickly and by combining KLE and PEM methods
To comprehensively analyze the influence of road roughness on the response of the BVI system, a random BVI model considering the randomness of road roughness was established. e vehicle model was simulated by a mass-springdamping system, and the bridge was simulated by the FEM theory. e time-varying system equations of the two were obtained by the energy variational principle
Summary
When a vehicle crosses a bridge, the two interact. erefore, in the dynamic response analysis of the vehicle passing the bridge, the two are usually regarded as a system for analysis, which is referred to as the BVI system [31]. According to the energy law and considering the damping force of the system, the total potential energy of the BVI system can be obtained, which is expressed as follows: Πd Ui + Vm + VF + Vp + Vg + Vc,. F denotes the force vector, whereas Fv signifies the force vector of the vehicle caused by the displacement and the first derivative of road roughness, which can be written as. FB denotes the force vector of the bridge caused by road roughness and axle load of the vehicle, which can be expressed as FB Ft + Fg,. R(x, θ) + λiξi(θ)φi(x), i 1 where r(x, θ) denotes the mean value of road roughness process; λi and φi(x) refer to the ith eigenvalue and eigenfunction of the covariance kernel, respectively; and ξi(θ) denotes the ith random variable, which is a set of uncorrelated random variables and can be expressed as follows: ξi(θ). By combining the KLE and PEM (called KLE-PEM), the response of the BVI system can be and quickly obtained
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