Stochastic Responses of Train-Bridge Coupling System for Simply-Supported High-Speed Railway Bridge
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摘要: 为探讨高速铁路简支梁桥车桥系统的随机响应,采用虚拟激励法,将轨道高低不平顺转化为一系列频 率点处简谐荷载的叠加,使非平稳随机振动问题转化为确定性的时间历程问题.采用分离迭代法求解车桥系统 运动方程,运用三倍标准差原理确定车桥系统响应的最大、最小值.最后,讨论了简支梁桥车桥系统的随机响应 在不同列车运行速度下的变化规律.研究结果表明:车体竖向位移和加速度的随机性较大,桥梁跨中竖向响应及 轮对受到的竖向轮轨力受确定性荷载的影响较大;列车运行速度对桥梁跨中竖向加速度最大值、车体竖向加速 度最大、最小值的影响较大.Abstract: In order to analyze the stochastic responses of a train-bridge coupling system in high-speed railway, the pseudo-excitation method (PEM) was applied to transform a vertical track profile irregularity into the superposition of harmonic excitations at a series of frequency points to translate a non-stationary random vibration problem into a deterministic time history problem. The method of separate iteration was used to solve the equations for the coupling system. The maximum and minimum responses of the coupling system were obtained based on the thrice standard error principle. The change regularities of the stochastic responses under different train velocities were discussed. The results show that the vertical displacement and acceleration of car body have large randomness, and the vertical responses of the mid-span of a bridge and the vertical wheel/rail force are influenced by the deterministic load. Train velocity has a significant influence on the maximum vertical acceleration of the mid-span and the maximum and minimum vertical accelerations of the car body.
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