轮轨撞击振源参数的虚拟反演
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摘要
为了论证利用台阵观测反演城市轨道交通中由轮轨撞击产生的振源参数的可行性,采用了虚拟反演的方法,首先预设车轮与轨道接头撞击振源参数,利用已有精确解计算得到了当列车以一定速度通过弹性半空间表面时,在振源附近布设的一密集台阵测得的竖向振动位移时程曲线,并对该位移时程曲线进行谱分析.利用功率谱作为目标函数,采用微遗传算法,反演得到了脉冲振源的强度及列车运行速度.计算结果表明,利用两个点的功率谱作目标进行振源参数反演的结果误差较小.遗传算法在振源特性研究领域的应用是可靠的,为进一步采用遗传算法反演随机振源函数的研究提供了理论支持.
To demonstrate the feasibility of inverting wheel-rail impact source based on observation data,the method of virtual inversion is adopted.Firstly,a setting function was given to describe the source,and the corresponding vertical displacement time histories of the observation array were obtained by means of an existing analytical solution.Spectrum analysis was performed on the displacement time histories.Then taking the power spectrum as the objective function,the intensity of the source function and the velocity of the train were inversed by means of the micro-genetic algorithm.Test results show that the error is very small by using the power spectrum of two points as the objective function to inverse the vibration source parameters.Genetic algorithm is reliable in the research of vibration source characteristic,which provides a theoretical foundation for further application of genetic algorithm in the research of the random vibration source function.
To demonstrate the feasibility of inverting wheel-rail impact source based on observation data,the method of virtual inversion is adopted.Firstly,a setting function was given to describe the source,and the corresponding vertical displacement time histories of the observation array were obtained by means of an existing analytical solution.Spectrum analysis was performed on the displacement time histories.Then taking the power spectrum as the objective function,the intensity of the source function and the velocity of the train were inversed by means of the micro-genetic algorithm.Test results show that the error is very small by using the power spectrum of two points as the objective function to inverse the vibration source parameters.Genetic algorithm is reliable in the research of vibration source characteristic,which provides a theoretical foundation for further application of genetic algorithm in the research of the random vibration source function.
引文
[1]BAHREKAZEMI M.Train-induced ground vibration and its prediction[D].Sweden:Royal Institute of Technolo-gy,2004.
[2]陶夏新,师黎静.利用地脉动台阵观测推断场地速度结构的虚拟反演[C]//新世纪地震工程与防灾减灾——庆贺胡聿贤院士八十寿辰论文集.北京:地震出版社,2002:443-452.
[3]翟婉明.铁路轮轨冲击振动模拟与试验[J].计算力学学报,1999,6(1):93-99.
[4]严隽耄.车辆工程[M].北京:中国铁道出版社,2003.
[5]刘凯欣,刘广裕.垂直点源的一个精确解[J].科学通报,2004,49(5):419-423.
[6]YAMANAKA H,ISHIDA H.Application of genetic al-gorithms to an inversion of surface-wave dispersion data[J].Bulletin of the Seismological Society of America,1996,86(2):436-444.
[7]KATZ.Micro tremor analysis of local geological condi-tions[J].Bulletin of Seismological Society of America,1976,66:45-60.
[8]ABU-LEBDEH G,BENEKOHAL R F.Convergence var-iability and population sizing in micro-genetic algorithms[J].Computer-Aided Civil and Infrastructure Engineer-ing,1999,14:321-334.
[9]杨位钦,顾岚.时间序列分析与动态数据建模[M].北京:北京理工大学出版社,1988:20-225.
[2]陶夏新,师黎静.利用地脉动台阵观测推断场地速度结构的虚拟反演[C]//新世纪地震工程与防灾减灾——庆贺胡聿贤院士八十寿辰论文集.北京:地震出版社,2002:443-452.
[3]翟婉明.铁路轮轨冲击振动模拟与试验[J].计算力学学报,1999,6(1):93-99.
[4]严隽耄.车辆工程[M].北京:中国铁道出版社,2003.
[5]刘凯欣,刘广裕.垂直点源的一个精确解[J].科学通报,2004,49(5):419-423.
[6]YAMANAKA H,ISHIDA H.Application of genetic al-gorithms to an inversion of surface-wave dispersion data[J].Bulletin of the Seismological Society of America,1996,86(2):436-444.
[7]KATZ.Micro tremor analysis of local geological condi-tions[J].Bulletin of Seismological Society of America,1976,66:45-60.
[8]ABU-LEBDEH G,BENEKOHAL R F.Convergence var-iability and population sizing in micro-genetic algorithms[J].Computer-Aided Civil and Infrastructure Engineer-ing,1999,14:321-334.
[9]杨位钦,顾岚.时间序列分析与动态数据建模[M].北京:北京理工大学出版社,1988:20-225.
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