列车—轨道—桥梁耦合系统动力方程求解方法对计算精度和效率的影响
发布时间：2019-06-30 20:26
【摘要】：基于轮轨Hertz接触模型,分别建立列车—轨道—桥梁垂向耦合系统的分离迭代法和耦合时变法的系统动力方程。根据系统最高频率以及谱半径理论分析这2种系统动力方程对时间积分步长的要求以及在计算收敛性方面的差别;以8辆车编组的高速列车通过5跨简支梁桥为例,对比这2种系统动力方程的计算精度,并分析耦合时变系统动力方程不同时间积分步长对不同动力响应指标计算精度的影响规律。结果表明:分离迭代法系统动力方程受积分步内迭代稳定性和计算精度的双重控制,其时间积分步长必须小于0.2ms;而耦合时变法系统动力方程则允许采用较大的时间积分步长,但不同动力响应指标的计算精度受时间积分步长的影响不同,其中,钢轨位移、车体振动加速度、桥梁位移以及轮轨垂向力等指标对时间积分步长的变化不敏感,在1ms的积分步长下即可得到精确解,而钢轨和桥梁的振动加速度指标对时间积分步长的变化敏感,时间积分步长需要小于0.4ms。
[Abstract]:Based on the wheel-rail Hertz contact model, the system dynamic equations of train-track-bridge vertical coupling system and coupling time-varying method are established respectively. According to the theory of maximum frequency and spectral radius of the system, the requirements of the two dynamic equations for the time integral step size and the difference in the calculation convergence are analyzed. Taking the 5-span simply supported beam bridge passed by 8 high-speed trains as an example, the calculation accuracy of the dynamic equations of the two systems is compared, and the influence of different time integral steps of the coupled time-varying system dynamic equations on the calculation accuracy of different dynamic response indexes is analyzed. The results show that the dynamic equation of the separated iterative method is controlled by the iterative stability and the calculation accuracy in the integral step, and the time integral step size must be less than 0.2 Ms. However, the dynamic equation of the coupled time-varying system allows a large time integral step size, but the calculation accuracy of different dynamic response indexes is different by the time integral step size. Among them, rail displacement, vehicle body vibration acceleration, bridge displacement and wheel-rail vertical force are not sensitive to the change of time integral step size, and the exact solution can be obtained under the integral step size of 1ms. The vibration acceleration index of rail and bridge is sensitive to the change of time integral step size, and the time integral step size needs to be less than 0.4 Ms.
【作者单位】： 中南大学土木工程学院;中南大学高速铁路建造技术国家工程实验室;西南交通大学牵引动力国家重点实验室;
【基金】：国家自然科学基金资助项目(51378511,51678576) 湖南省高校创新平台开放基金(13K006) 牵引动力国家重点实验室开放课题(TPL1601) 中南大学中央高校基本科研业务费专项资金资助项目(2016ZZTS421)
【分类号】：U211;U441.7
，
本文编号：2508230
[Abstract]:Based on the wheel-rail Hertz contact model, the system dynamic equations of train-track-bridge vertical coupling system and coupling time-varying method are established respectively. According to the theory of maximum frequency and spectral radius of the system, the requirements of the two dynamic equations for the time integral step size and the difference in the calculation convergence are analyzed. Taking the 5-span simply supported beam bridge passed by 8 high-speed trains as an example, the calculation accuracy of the dynamic equations of the two systems is compared, and the influence of different time integral steps of the coupled time-varying system dynamic equations on the calculation accuracy of different dynamic response indexes is analyzed. The results show that the dynamic equation of the separated iterative method is controlled by the iterative stability and the calculation accuracy in the integral step, and the time integral step size must be less than 0.2 Ms. However, the dynamic equation of the coupled time-varying system allows a large time integral step size, but the calculation accuracy of different dynamic response indexes is different by the time integral step size. Among them, rail displacement, vehicle body vibration acceleration, bridge displacement and wheel-rail vertical force are not sensitive to the change of time integral step size, and the exact solution can be obtained under the integral step size of 1ms. The vibration acceleration index of rail and bridge is sensitive to the change of time integral step size, and the time integral step size needs to be less than 0.4 Ms.
【作者单位】： 中南大学土木工程学院;中南大学高速铁路建造技术国家工程实验室;西南交通大学牵引动力国家重点实验室;
【基金】：国家自然科学基金资助项目(51378511,51678576) 湖南省高校创新平台开放基金(13K006) 牵引动力国家重点实验室开放课题(TPL1601) 中南大学中央高校基本科研业务费专项资金资助项目(2016ZZTS421)
【分类号】：U211;U441.7
，
本文编号：2508230
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