Abstract
With the increasing load and speed of trains, the problems caused by various random excitations (such as safety and passenger comfort) have become more prominent and thus arises the necessity to analyze stochastic dynamical systems, which is important in both academic and engineering circles. The existing analysis methods are inadequate in terms of computational accuracy, computational efficiency, and applicability in solving complex problems. For that, a new efficient and accurate method is used in this paper, suitable for linear and nonlinear random vibration analysis of large structures as well as static and dynamic reliability assessment. It is the direct probability integration method, which is extended and applied to the random vibration reliability analysis of dynamical systems. Dynamical models of the dynamic system and coupled system “three-car vehicle-rail-bridge” are established, the time-varying differential equations of motion are derived in detail, and the dynamic response of the system is calculated using the explicit Newmark algorithm. The simulation results show the influence of the number of representative points on the smoothness of the image of the probability density function and the accuracy of the calculation results.
Highlights
Railroad transportation is one of the major modes of transportation in the world today, and the mileage of highspeed railroad in China has reached 38,000 km, and it is planned to realize the “eight horizontal and eight vertical” high-speed railroad network by 2030
China is a vast country with many mountains and rivers, and bridge structures occupy a high proportion in the lines. e three subsystems of train, track, and bridge are coupled into a large system through wheel-rail contact forces and bridge-rail interactions, and the dynamic response of the vehicle, track, and bridge structures is triggered by the system excitation [1]
E train operation will have a dynamic impact on the track and bridge structure, causing the track and bridge to vibrate, affecting its working condition and service life; the vibration of the track and bridge structure will in turn affect the train operation smoothness and passenger comfort [2, 3]. is train-track-bridge dynamic interaction problem is a typical large system dynamics problem, which is usually called vehicle-track-bridge coupled vibration [4]
Summary
Railroad transportation is one of the major modes of transportation in the world today, and the mileage of highspeed railroad in China has reached 38,000 km, and it is planned to realize the “eight horizontal and eight vertical” high-speed railroad network by 2030. Erefore, it is important to find a more accurate and efficient method to evaluate the stochastic vibration and bridge dynamics reliability of the coupled vehicle-rail-bridge system and to study the trend and statistical law of the representative stochastic response of the coupled vehicle-rail-bridge system under the joint action of deterministic load and stochastic excitation, which is important for vehicle dynamics performance evaluation and vehicle bridge maintenance. The coupled vehicle-bridge and three-car vehiclerail-bridge systems are modeled, respectively, and the stochastic dynamics of the dynamic system is analyzed by using the direct probability integral method and compared with the Monte Carlo simulation results to analyze the change trend and statistical law of the stochastic dynamics response of the coupled system and to verify the accuracy and efficiency of the direct probability integral method [11]. E results are compared with Monte Carlo simulations to analyze the change trend and statistical law of the coupled system stochastic dynamics response, to verify the accuracy and efficiency of the direct probability integration method, and to provide new ideas and methods for the stochastic dynamics analysis of the power system [12]
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