Analysis method of stability and critical speed for train-track (bridge) time-variable system under lateral vibration condition
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摘要: 基于不明原因列车脱轨机理与运动系统平衡状态稳定性分析的能量增量准则, 提出了列车-轨道(桥梁)时变系统横向振动稳定性与失稳临界车速分析方法, 确定了系统横向振动最大输入能量及其增量, 计算了系统横向振动极限抗力做功及其增量, 建立了系统横向振动稳定性评判准则, 计算了系统横向振动失稳临界车速。通过算例, 计算了高速列车-无砟轨道时变系统横向振动稳定性及控制高速列车安全运行的指标。计算结果表明: 高速列车-无砟轨道时变系统横向振动的失稳临界车速为647.3 km.h-1, 容许极限车速为517.84 km.h-1, 抗脱轨安全度为1.85, 因此, 高速列车以350 km.h-1的车速在无砟轨道上运行是安全的。Abstract: On the basis of the mechanism of train derailment caused by unknown reasons and the energy increment criterion for checking the stability of equilibrium state of a system in motion, the analysis method of lateral vibration stability of train-track(bridge) time-variable system and the calculation methods of critical speed and admissible limit speed for the system under lateral vibration condition were put forward. Under lateral vibration condition, for the system, the maximum input energy and its increment were determined, the limit resistant force working and its increment were calculated, the judging rules of vibration stability were set up, and the critical speed was computed. Through an example, the lateral vibration stability of high-speed train and ballastless track system and the running safety control indexes of high-speed train were calculated. Computation result shows that the critical speed of the system is 647.3 km·h-1, the admissible limit speed is 517.84 km·h-1, and the anti-derailment safety degree is 1.85. So, high-speed train safely runs on ballastless track at the design speed of 350 km·h-1.
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[1] 曾庆元, 向俊, 周智辉, 等. 列车脱轨分析理论与应用[M]. 长沙: 中南大学出版社, 2006.ZENG Qing-yuan, XIANG Jun, ZHOU Zhi-hui, et al. Analysis Theory of Train Derail ment and Its Application[M]. Changsha: Central South University Press, 2006. (in Chinese) [2] 向俊. 列车脱轨机理与脱轨分析理论研究[D]. 长沙: 中南大学, 2006.XIANG Jun. Study on mechanismand analysis theory of train derailment[D]. Changsha: Central South University, 2006. (in Chinese) [3] XI ANG Jun, ZENG Qing-yuan. A study on mechanical mechanismof train derail ment and preventive measures for derailment[J]. Vehicle System Dynamics, 2005, 43(2): 121-147. doi: 10.1080/0042311041233132201 [4] XIANG Jun, ZENG Qing-yuan. Mechanismand energy random analysis of train derail ment on railway bridges[J]. International Journal of Structural Stability and Dynamics, 2009, 9(4): 585-605. doi: 10.1142/S0219455409003193 [5] XI ANG Jun, ZENG Qing-yuan, LOU Ping. Theory of random energy analysis for train derail ment[J]. Journal of Central South University of Technology: English Edition, 2003, 10(2): 134-139. doi: 10.1007/s11771-003-0055-1 [6] GASCH R, MOELLE D, KNOTHE K. The effect of nonlinearities on the limit cycles of railway vehicles[J]. Vehicle System Dynamics, 1983, 12(1/2/3): 64-67. [7] TRUE H, JENSEN J C. Parameter study of hunting and chaos in railway vehicle dynamics[J]. Vehicle System Dynamics, 1994, 23(S1): 508-521. [8] HUNAG Cheng-rong, ZHAN Fei-sheng. The numerical bifurcation method of nonlinear lateral stability analysis of a locomotive[J]. Vehicle System Dynamics, 1994, 23(S1): 234-245. [9] ISAKSEN P, TRUE H. On the ultimate transition to chaos in the dynamics of cooperrider's bogie[J]. Chaos, Soliton and Fractals, 1997, 8(4): 559-581. [10] 王福天. 车辆动力学[M]. 北京: 中国铁道出版社, 1981.WANG Fu-tian. Railway Vehicle System Dynamics[M]. Beijing: China Railway Publishing House, 1981. (in Chinese) [11] TI MOSHENKOS P, GEREJ M. Theory of Elastic Stability[M]. 2 Edition. New York: McGraw-Hill Book Company, Inc., 1961. [12] 高为炳. 运动稳定性基础[M]. 北京: 高等教育出版社, 1987.GAO Wei-bing. The Motion Stability Foundation[M]. Beijing: Higher Education Press, 1987. (in Chinese) [13] 曾庆元, 郭向荣. 列车桥梁时变系统振动分析理论与应用[M]. 北京: 中国铁道出版杜, 1999.ZENG Qing-yuan, GUO Xiang-rong. Vibration theory of Train-bridge Time-varying System and Its Application[M]. Beijing: China Railway Publishing House, 1999. (in Chinese) [14] 俞展猷, 李富达, 李谷. 车轮脱轨及其评价[J]. 铁道学报, 1999, 21(3): 33-38. https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB903.007.htmYU Zhan-you, LI Fu-da, LI Gu. Wheel derail ment and its evaluation[J]. Journal of the China Railway Society, 1999, 21(3): 33-38. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB903.007.htm -
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