车轨系统随机响应周期性拟稳态分析

张有为; 项盼; 赵岩; 林家浩

doi:10.6052/0459-1879-12-041

车轨系统随机响应周期性拟稳态分析

doi: 10.6052/0459-1879-12-041

大连理工大学工业装备结构分析国家重点实验室运载工程与力学学部工程力学系,大连 116024

基金项目: 国家自然科学基金(50608012, 10502011), 国家重点基础研究发展计划 (2010CB832704)和大连理工大学理科基础科研专题 (DUT12LK50)资助项目.

详细信息

通讯作者:
赵岩

中图分类号: U211.3
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出版历程
- 收稿日期: 2012-02-16
- 修回日期: 2012-06-02
- 刊出日期: 2012-11-18

A PSEUDO-STEADY STATE METHOD FOR ANALYZING RANDOM RESPONSES OF COUPLED VEHICLE-TRACK SYSTEMS

State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics,Dalian University of Technology,Dalian 116024,China

Funds: The project was supported by the National Natural Science Foundation of China (50608012, 10502011), the National Basic Research Program of China (2010CB832704) and the Science Basic Research Topic of DUT (DUT12LK50).

摘要

摘要: 提出用于三维车轨耦合系统随机动力响应高效求解的周期性拟稳态分析方法. 车辆采用三维刚体动力学模型,轨道结构利用三维轨道广义单元建模. 假定轨枕间距均匀,则列车在轨道上行驶过程中,车轨耦合系统动力学方程具有典型周期时变特征. 应用虚拟激励方法将轨道随机不平顺转化为虚拟简谐不平顺,在状态空间下运用周期系数微分方程的性质和Schur分解技巧将上述问题的求解转化为周期性拟稳态响应分析,只需通过求解系数矩阵为上三角的线性方程组即可代替以往时变系统虚拟响应求解过程中的逐步积分过程,计算效率获得较大提高. 采用该方法进行了三维车轨耦合系统的随机动力响应分析,并进行了不平顺随机载荷在车体、转向架、轮对和轨道等部件中传递机理分析,获得了一些有价值结论.
- 车轨耦合系统 /
- 随机振动 /
- 虚拟激励法 /
- 周期性 /
- 拟稳态
Abstract: A pseudo-steady state method for analyzing random responses of coupled vehicle-track systems subjected to track irregularities is developed. The vehicle is simplified as a three dimensional multi-rigid body dynamic system and the track is modeled by the generalized finite element method. Assume that the sleeper spans are uniform, and then the equation of motion of the coupled system is periodically time-varying. Pseudo-excitation method (PEM) is used to transform the three types of rail irregularities into harmonic pseudo-excitations; the differential equations theory and the Schur decomposition scheme are then applied to develop a pseudo-steady state method for solving the above equation of motion. In this method, a linear equation set with an upper triangular coefficient matrix is established to replace the conventional step-by-step integration process when calculating the pseudo-responses of PEM which considerably reduces the computational effort. The random response of a three-dimensional coupled vehicle-track system is analyzed in the numerical example and the transmission mechanism of random vibration in the coupled system is investigated.
- coupled vehicle-track system /
- random vibration /
- pseudo-excitation method /
- periodical characteristic /
- pseudo-steady state

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参考文献(17)

翟婉明. 车辆-轨道垂向系统的统一模型及其耦合动力学原理. 铁道学报, 1992, 14(3): 10-21 (Zhai Wanming. The vertical model of vehicle-track system and its coupling dynamics. Journal of The China Railway Society, 1992, 14(3): 10-21 (in Chinese))

翟婉明. 高速列车辆-轨道道垂向耦合动力学的研究. 铁道学报, 1997, 19(4): 16-21 (Zhai Wanming. A Study of Vertical Coupling Dynamics of High Speed Train and Track Systems. Journal of The China Railway Society, 1997, 19(4): 16-21 (in Chinese))

陈果, 翟婉明, 左洪福.轨道随机不平顺对车辆/轨道系统横向振动的影响. 南京航空航天大学学报, 2001, 33(3): 227-232 (Chen Guo, Zhai Wanming, Zuo Hongfu. Influences of track irregularities on lateral random vibration responses of vehicle and track system. Journal of Nanjing University of Aeronautics & Astronautics, 2001, 33(3): 227-232 (in Chinese))

Lei XY, Noda NA. Analyses of dynamic response of vehicle and track coupling system with random irregularity of track vertical profile. Journal of Sound and Vibration, 2002, 258(1): 147-165

雷晓燕, 张斌, 刘庆杰. 列车辆-轨道道系统竖向动力分析的车辆轨道单元模型. 振动与冲击, 2010, 29(3): 168-173 (Lei Xiaoyan, Zhang Bin, Liu Qingjie. Model of vehicle and track elements for vertical dynamic analysis of vehicle-track system. Journal of Vibration and Shock, 2010, 29(3): 168-173 (in Chinese))

张斌, 雷晓燕. 基于车辆-轨道单元的无砟轨道动力特性有限元分析. 铁道学报, 2011, 33(7): 78-85 (Zhang Bin, Lei xiaoyan. Analysis on dynamic behavior of ballastless track based on vehicle and track elements with finite element method. Journal of the China Railway Society, 2011, 33(7): 78-85 (in Chinese))

Popp K, Kaiser I, Kruse H. System dynamics of railway vehicles and track. Archive of Applied Mechanics, 2003, 72(11): 949-961

徐志胜, 翟婉明, 王开云等. 车辆-轨道系统振动响应分析--Timoshenko梁与Euler梁轨道模型的比较. 地震工程与工程振动, 2003, 23(6): 74-79 (Xu Zhisheng, Zhai Wanming, Wang Kaiyun, et al. Analysis of vehicle-track system vibration comparison between Timoshenko beam and Euler beam track model. Earthquake Engineering and Engineering Vibration, 2003, 23(6): 74-79 (in Chinese))

龙许友, 魏庆朝, 冯雅薇等. 轨道不平顺激励下直线电机车辆/轨道动力响应. 交通运输工程学报, 2008, 8(2): 10-13 (Long Xuyou, Wei Qingchao, Feng Yawei, et al. Dynamic response of linear metro vehicle/track excited by track irregularity. Journal of Traffic and Transportation Engineering, 2008, 8(2): 10-13 (in Chinese))

徐庆元, 张旭久, 曾志平. 无砟轨道纵向连接形式对列车-板式无砟轨道-路基系统振动特性影响. 中国铁道科学, 2010, 31(1): 32-37 (Xu Qingyuan, Zhang Xujiu, Zeng Zhiping, Influence of the longitudinal connection form of the ballastless track on the vibration characteristics of train-slab ballastless track-subgrade system. China Railway Science, 2010, 31(1): 32-37 (in Chinese))

陈双喜, 林建辉, 陈建政. 基于改进的EMD方法提取车辆-轨道垂向耦合系统动态特性. 振动与冲击, 2011, 30(8): 212-216 (Chen Shuangxi, Lin Jianhui, Chen Jianzheng. Dynamic characteristics extraction of vehicle-track vertically coupling system based on improved EMD. Journal of Vibration and Shock, 2011, 30(8): 212-216 (in Chinese))

李杰, 廖松涛. 线性随机结构在随机激励下动力响应分析. 力学学报, 2002, 34(3): 416-424 (Li Jie, Liao Songtao. Dynamic response of liner stochastic structures under random excitation. Acta Mechanica Sinica, 2002, 34(3): 416-424 (in Chinese))

林家浩, 张亚辉. 随机振动中的虚拟激励法. 北京: 科学出版社, 2004 (Lin Jiahao, Zhang Yahui, Pseudo Excitation Method in Random Vibration. Beijing: Science Press, 2004 (in Chinese))

Lu F, Kennedy D, Williams FW, et al. Symplectic analysis of vertical random vibration for coupled vehicle-track systems. Journal of Sound and Vibration, 2008, 317(1-2): 236-249

张有为, 赵岩, 林家浩. 三维车辆-轨道耦合系统随机动力分析. 武汉理工大学学报, 2010, 32(9): 332-334 (Zhang Youwei, Zhao Yan, Lin Jiahao. Random vibration analysis of 3d coupled vehicle-track system. Journal of Wuhan University of Technology, 2010, 32(9): 332-334 (in Chinese))

曾志平, 陈秀方, 赵国藩.轨道结构空间振动时变模型建立方法的研究. 石家庄铁道学院学报, 2004, 17(4): 26-29 (Zeng Zhiping, Chen Xiufang, Zhao Guofan. A study on the method of establishing the spatial vibration model for railway tracks. Journal of Shijiazhuang Railway Institute, 2004, 17(4): 26-29 (in Chinese))

Amann H, Metzen G. Ordinary Differential Equations: An Introduction to Nonlinear Analysis. Gerhard Metzen, trans, New York: de Gruyter, 1990

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