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车桥耦合系统随机振动的时域显式解法

苏成 钟春意 周立成

苏成, 钟春意, 周立成. 车桥耦合系统随机振动的时域显式解法[J]. 应用数学和力学, 2017, 38(1): 99-108. doi: 10.21656/1000-0887.370510
引用本文: 苏成, 钟春意, 周立成. 车桥耦合系统随机振动的时域显式解法[J]. 应用数学和力学, 2017, 38(1): 99-108. doi: 10.21656/1000-0887.370510
SU Cheng, ZHONG Chun-yi, ZHOU Li-cheng. Random Vibration Analysis of Coupled Vehicle-Bridge Systems With the Explicit Time-Domain Method[J]. Applied Mathematics and Mechanics, 2017, 38(1): 99-108. doi: 10.21656/1000-0887.370510
Citation: SU Cheng, ZHONG Chun-yi, ZHOU Li-cheng. Random Vibration Analysis of Coupled Vehicle-Bridge Systems With the Explicit Time-Domain Method[J]. Applied Mathematics and Mechanics, 2017, 38(1): 99-108. doi: 10.21656/1000-0887.370510

车桥耦合系统随机振动的时域显式解法

doi: 10.21656/1000-0887.370510
基金项目: 国家自然科学基金(51678252)
详细信息
    作者简介:

    苏成(1968—),男,教授,博士,博士生导师(通讯作者. E-mail: cvchsu@scut.edu.cn).

  • 中图分类号: O324;U441+.3(/sup>

Random Vibration Analysis of Coupled Vehicle-Bridge Systems With the Explicit Time-Domain Method

Funds: The National Natural Science Foundation of China(51678252)
  • 摘要: 在桥面和轨道随机不平顺作用下,车桥耦合系统振动是一个典型的非平稳随机振动问题.笔者分别建立表征物理演变机制的车辆系统和桥梁系统的动力响应显式表达式,然后利用车桥之间的运动相容条件,建立车桥之间接触力关于桥面不平顺的显式表达式.在此基础上,即可直接利用统计矩运算法则,获得车桥接触力的统计矩演化规律,并进一步计算车辆系统和桥梁系统关键响应的演变统计矩.此外,也可以基于车桥接触力关于桥面不平顺的显式表达式,高效地进行随机模拟(即Monte Carlo模拟, MCS),以获得车桥耦合系统关键响应的演变统计矩及其他统计信息.在上述过程中,由于实现了车桥耦合系统物理演变机制和概率演化规律的相对分离,在响应统计矩计算中,无需反复求解车桥耦合系统的运动微分方程,且可以仅针对车桥接触力及其他所关注的关键响应开展降维计算,大幅提高了车桥耦合系统随机振动的计算效率.数值算例表明,所提出的方法具有理想的计算精度和计算效率.
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出版历程
  • 收稿日期:  2016-10-26
  • 修回日期:  2016-12-28
  • 刊出日期:  2017-01-15

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