摘要
针对传统方法需要生成大量轨道不平顺样本才能涵盖所有随机特征,但样本数多又会导致计算效率低的问题,本文提出了一种自适应采样法(ASM)与改进的第二类随机谐和函数法(MSHF)结合的轨道不平顺模拟的联合方法。ASM自适应选取符合轨道不平顺功率谱密度函数(PSD)谱概率分布的高代表性样本点,从而减少样本数量;之后在SHF中添加一类符合谱概率分布的独立变量进行改进,通过将ASM选取的样本点代入新增变量,实现了轨道随机不平顺的时域小样本全信息表达。以车轨桥耦合系统(TTBS)随机动力分析为例,与传统一次性采样和SHF方法相比,本文方法在提高精度的同时可以减少41.67%的计算时间。
In order to improve the accuracy and efficiency of the train-track-bridge coupled system(TTBS)dynamics random analysis under the excitation of track irregularities,a full information representation of the track irregularities is required while minimizing the number of track irregularities.To realize full information representation and simulate random track irregularities with a small number of samples,this paper proposes a combined method of the adaptive sampling method(ASM)and the modified stochastic harmonic function method(MSHF).The ASM can reduce the number of samples by selecting highly representative points that match the spectral probability distribution from the aforementioned set.The obtained point set is substituted into the independent variable added in the stochastic harmonic function(SHF)in order to achieve accurate simulation of the track irregularity time domain samples.Compared with the traditional method,the proposed method can achieve highly accurate simulation of track irregularities with small samples.By considering the TTBS dynamic analysis as an example,the combined method can improve precision while reducing computation time by 41.67%of random analysis.
作者
朱志辉
李宇森
周高扬
刘禹兵
郑纬奇
ZHU Zhi-hui;LI Yu-sen;ZHOU Gao-yang;LIU Yu-bing;ZHENG Wei-qi(National Engineering Research Center of High-speed Railway Construction Technology,Changsha 410075,China;School of Civil Engineering,Central South University,Changsha 410075,China;China Railway Siyuan Survey and Design Group Co.,Ltd.,Wuhan 430063,China)
基金
Project(2022YFB2603301) supported by the National Key R&D Program of China
Project(52078498) supported by the National Natural Science Foundation of China
Project(2022JJ30745) supported by the Natural Science Foundation of Hunan Province of China
Project(2020TJ-Q19) supported by the Hunan Provincial Science and Technology Promotion Talent Project,China
Project(2023QYJC006) supported by the Frontier Cross Research Project of Central South University,China
Project(2021-Special-04-2) supported by the Science and Technology Research and Development Program Project of China Railway Group Limited。
关键词
自适应采样法
随机谐和函数法
轨道不平顺
谱概率分布
随机动力分析
列车-轨道-桥梁耦合系统
adaptive sampling method
stochastic harmonic function method
track irregularity
spectral probability distribution
stochastic dynamic analysis
train-track-bridge coupled system
