Evaluating the Dynamic Response of the Bridge‐Vehicle System considering Random Road Roughness Based on the Moment Method

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.

Dynamic Numerical Simulation Model and Time-Domain Identification of Flexible AERORail Structure

“…TDMs for identifcation exhibit instability in practical identifcation, which is mainly refected in the large size and severe ill-conditioning of the solution matrix [22][23][24]. In the area of antennas, microwaves, and electromagnetic waves, the method of moments is a widely accepted tool to address this issue.…”

A Time-History Contact Force Model of the Dynamic Load of AERORail Structures

“…This paper establishes an ideal load model, the elevated track time-history force model, which meets the needs of elevated track design and research. It is used for calculating the deflection in different spans of an elevated track in practical applications, serving as a simplified static and dynamic calculation load for practical engineering [8,20,21]. The establishment of the time-history force model will be based on the fitting of the contact force time curves identified by the authors in Li et al [2] from the measured data of the elevated track experimental line; for different types of contact force time curves, corresponding time-history force models will be established.…”