摘要
高速铁路以其速度快、运能大、能耗低、污染轻、占地少以及安全舒适等综合优势,在世界各国得到了迅速发展。我国在跟踪研究国外高速铁路技术、积极规划高速铁路的同时,通过新建快速客运专线、大力加强既有线的技术改造大幅度提高了列车的运行速度。但是,随之而来的轮轨系统的动力作用、行车的安全性和舒适性、线桥结构的运用安全性问题也越发突出,而这在我国尚缺乏足够的理论研究和工程实践。因此,快速及高速运行条件下的列车、线路、桥梁动态相互作用问题已成为我国铁路实现跨越式发展亟需开展的基础性研究课题之一。
本文在简要回顾国内外高速铁路技术发展以及车辆-轨道动力学、车桥振动研究的历史与现状的基础上,针对高速铁路列车、线路、桥梁动力相互作用问题,提出了将机车车辆、轨道及桥梁作为一个耦合大系统,以车辆动力学、轨道动力学、桥梁动力有限元方法为基础,以轮轨关系、线桥关系为联系纽带,应用数值仿真的方法来研究高速行车条件下轨道及桥梁结构的动力特性、行车的安全性和舒适性的研究思路。
列车-线路-桥梁耦合动力学模型的正确性和完善程度对仿真结果的可靠性和准确性起着决定性的作用。为此,本文首先建立了比较完善的高速铁路四轴机车车辆以及六轴机车的动力学分析模型。模型中将机车车辆视为多刚体系统,充分考虑了车体、构架、轮对的横向、垂向、侧滚、摇头、点头自由度以及车辆悬挂系统的各种非线性因素。本文在国内首次针对高速铁路桥上有碴轨道、长枕埋入式无碴轨道、板式轨道、弹性支承块式轨道结构以及各种轨道的路桥过渡段建立了系统全面的动力学模型。模型中将钢轨模拟成离散弹性点支承基础上的无限长Euler梁,轨道板视为弹性地基上的等厚度矩形薄板,轨枕、支承块以及离散后的道床视为刚性质量块。同时,本文还根据离散系统动力问题的Hamilton变分原理,建立了桥梁结构的动力有限元方程,给出了桥梁结构动力分析中常用的空间杆单元、空间梁单元以及矩形受弯板单元的力学特性矩阵,并简要讨论了桥梁结构的阻尼矩阵以及特征值问题。
轮轨关系和桥轨关系是机车车辆、轨道和桥梁之间相互作用的联系纽带。本文详细论述了应用轮轨空间接触几何关系、轮轨法向Hertz非线性弹性接触理论、轮轨切向蠕滑理论、桥轨相互作用关系进行车线桥耦合动力学分析的原理,并简要介绍了列车-线路-桥梁动力学仿真通用软件TTBSIM。
高速铁路列车、线路、桥梁的动态安全性和行车舒适性的评价标准将直接影响线桥结构设计的质量和经济性。本文对国内外有关机车车辆、轨道及
With its comprehensive advantages such as the high speed, large transport capacity, low energy consumption, light pollution, less occupation of the land, high safety and comfort performance, the high-speed railway has been developed rapidly all over the world. C hina h as i mproved t he t rain s peed greatly b y following a nd s tudying t he technology of high-speed railway abroad, positive planning high-speed railway, building new fast passenger traffic special line and strengthening technological alteration of existing railway. However, the corresponding problems like the interaction forces between trains and tracks, the safety and comfort of the runnine train, the reliability of tracks and bridges are even more conspicuous and these problems still lack enough theoretical research and engineering practice i n China. Therefore, the study on the dynamic interaction between trains, tracks and bridges under the fast and high-speed running train is one of the basic research subjects to meet the need of achieving great-leap-forward development of railway in China. This thesis briefly reviews the domestic and abroad technical development o f the high-speed railway, the history and the current situation of the vehicle-track dynamics and the vehicle-bridge vibration, on the basis of which, directed at the train-track-bridge coupling dynamical system of the high-speed railway, the thesis proposes the following thinking of research: regarding the vehicle dynamics, track dynamics, finite element method of bridge vibration as the foundation, regarding the interaction of wheels and rails, the interaction of track and bridge as the relation, and regarding the rolling stocks , tracks and bridges as a whole system, the dynamic characteristics of the track and bridge structure and the safety and comfort of the running train can be studied by the numerical simulation method. The validity and perfection degree of the train-track-bridge coupling dynamics model plays a decisive role in the dependability and accuracy of the simulation result. At first, a relative perfect four-axle rolling stock and six-axle locomotive dynamics model of the high-speed railway is set up in this thesis. In this model, the rolling stock is regarded as the multiple rigid body system, and all kinds of movements of the car body, bogie and wheel-set and various sorts of non-linear factors in vehicle suspension system are fully considered. In this thesis, a detailed dynamics model of various kinds of tracks laid on the bridge such as ballast track, REHDA track, slab track, elasticity supported block track and all kinds of roadbed-bridge transition structure of the high-speed railway is established for the
引文
1.钱仲候.高速铁路概论.第二版.北京:中国铁道出版社,1999
2.铁道部工程管理中心,铁道科学研究院.高速铁路技术.北京,2003
3.钱立新.世界高速铁路技术.北京:中国铁道出版社,2003
4.董志洪.高技术铁路与钢轨.北京:冶金工业出版社,2003
5.华茂崑.中国铁路提速之路.北京:中国铁道出版社,2002
6.中华人民共和国铁道部.京沪高速铁路设计暂行规定.北京:中国铁道出版社,2003
7.杨广庆,刘树山,刘田明.高速铁路路基设计与施工.北京:中国铁道出版社,1999
8. Timoshenko S.: Method of Analysis Static and Dynamical Stresses in Rail. Proc. of the 2nd International Congress of Applied Mechanics, Zurich(1927)
9. Criner H E. & McCann, G. D.: Rails on Elastic Foundation under the Influence of High Speed Traveling Loads. JAM 20-1(1953)
10. Sauvage R.: La Flexion des Rails sous Charge Roulants. Doctoral Theses (Universite de Paris)(1961)
11. Effect of Flat Wheels on Track and Equipment. Proc. of AREA, 53(1952)
12. Betzhold C.: Erhohung der Beanspruchchung des Eisenbahnoberbaues durch Wechselwwirkung zwischen Fahrzeug und Oerbau. Glaser Annalen(1957.4)
13. Meier H.: Das Sicherheitsproblem beim Luckenlosen Gleis. Verkehr und Technik 16-8(1963.8)
14.佐藤裕,豊田昌羲.高速列车轨道燮形.铁研报告.492(1965.8)
15.佐藤裕.轨道加垂直衝擊压力.铁研報告.16(1958.7)
16.佐藤裕.軌道車軸落下試驗.铁道技術研究资料.14—14(1958.2)
17. Lyon D. The calculation of track forces due to dipped rail joints, wheel flats and rail welds. The Second ORE Colloquium on Technical Computer Programs, May 1972
18. Jenkins H H, et al. The effect of track and vehicle parameters on wheel/rail vertical dynamic forces. Railway Engineering Journal, 1974, 3(1):2～16
19. Newton S G, Clark R A. An investigation into the dynamic effects on the track of wheel flats on railway vehicles. Journal of Mechanical Engineering Science, 1979, 21(4):287～297
20. Clark R A, Dean P A, Elkins J A & Newton S G. An investigation into the dynamic effects of railway vehicle running on corrugated rails. Journal of Mechanical Engineering Science, 1982, 24(2):65～76
21. Sato Y. Abnormal wheel load of test train. Permanent Way(Tokyo), 1973, (14):1～8
22. Ahlbeck D R, et al. The development of analytical models for railroad track dynamics. Railroad Track Mechanics & Technology, Pergamon Press 1978
23.佐藤裕 著,卢肇英 译.轨道力学.北京:中国铁道出版社,1981
24.吴章江,王浦强,李湘敏等.车辆通过低接头的垂向轮轨作用力计算.铁道机车车辆,1982,(1):24～30
25.李定清.轮轨垂向相互动力作用及其动力响应.铁道学报,1987,9 (1):1～8
26.许实儒,徐维杰,仲延禧.钢轨接头处轮轨冲击力的模拟分析.铁道学报,工务工程专集,1989
27.王澜.轨道结构随机振动理论及其在轨道结构减振中的应用.铁道科学研究院博士学位论文,北京,1988
28.翟婉明.车辆—轨道垂向耦合动力学[D].成都:西南交通大学博士学位论文.1991.
29.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[J].铁道学报,1992,14(3):10—21.
30.翟婉明,孙翔.低动力作用轮轨系统垂向动力参数研究与设计[J].铁道学报,1993,15(3):1—10.
31.翟婉明,严隽耄,孙翔.大型货车对线路的动力影响研究[J].西南交通大学学报,1993,(5):37—41.
32.翟婉明,孙翔,詹斐生.机车车辆与轨道垂向相互作用的计算机仿真研究[J].中国铁道科学,1993,14(1):42—50.
33. Zhai Wanming, Sun Xiang. A Detailed Model for Investigating Vertical Interact ion between Railway Vehicle and T rack [J]. Vehicle System Dynamics, 1994, 23(Supplement):603—615.
34.翟婉明.高速铁路轮轨系统的最优动力设计原则[J].中国铁道科学,1994,15(2):16—21.
35.翟婉明.铁道车辆在刚性及弹性轨道模型上的振动模拟分析[J].铁道车辆,1994,(1):15—20.
36.翟婉明.高速铁路轮轨冲击振动的特征及其控制原理[J].铁道学报,1995,17(3):28—33.
37.翟婉明,蔡成标,史炎,王其昌.车辆—轨道相互作用统一模型及软件的试验验证[J].铁道学报,1996,18(4):42—46.
38. Zhai W M, Cai C B, Guo S Z. Coupling Model of Vertical and Lateral Vehicle/track Interactions [J]. Vehicle System Dynamics, 1996, 26(1):61—79.
39. Zhai W, Cai Z. Dynamic Interaction between a Lumped Mass Vehicle and a Discretely Supported Continuous Rail Track [J]. Computers & Structures, 1997, 63(5):987—997.
40.翟婉明,任尊松.提速列车与道岔的垂向相互作用研究[J].铁道学报,1998,20(3):33—38.
41. Zhai W M. Wheel/rail Dynamic Interactions on Turnouts[C]. Proceedings of 12th International Wheelset Congress, Qingdao, September 1998, pp. 447—451.
42.翟婉明.铁路轮轨冲击振动模拟与试验[J].计算力学学报,1999,16(1):93—99.
43.翟婉明,韩卫军,蔡成标,王其昌.高速铁路板式轨道动力特性研究[J].铁道学报,1999,21(6):65—69.
44.翟婉明,蔡成标,王开云.轨道刚度对列车走行性能的影响[J].铁道学报,2000,22(6):80—83.
45. Zhai W M, True H. Vehicle/track Dynamics on a Ramp and on the Bridge: Simulation and Measurements [J]. Vehicle System Dynamics, 1999, 33 (Supplement): 604—615.
46.翟婉明,蔡成标,王其昌,卢祖文,吴细水.列车提速对线路的动力影响研究与对策[J].中国铁道科学,2000,21(3):11—20.
47.翟婉明,陈果.根据车轮抬升量评判车辆脱轨的方法与准则[J].铁道学报,2001,23(2):17—26.
48. Zhai W M, Cai C B, Wang Q C, Lu Z W and Wu X S. Dynamic Effects of Vehicles on Tracks in the case of Raising Train Speed [J]. Journal of Rail and Rapid Transit. 2001, 215(F2):125—135.
49.翟婉明著.车辆—轨道耦合动力学[M].第一版,北京:中国铁道出版社,1997.
50.翟婉明著.车辆—轨道耦合动力学[M].第二版,北京:中国铁道出版社,2002.
51. Ripke B, Knothe K. Simulation of High Frequency Vehicle-track Interactions [J]. Vehicle System Dynamics, 1995, 24 (Supp 1.):72—85.
52. Oscarsson J, Dahlberg T. Dynamic Train/Track/Ballast Interaction computer Models and Full-scale Experiments[]]. Vehicle System Dynamics, 1998, 28(Supp 1.):73—84.
53. Auersch L. Vehicle-track interaction and Soil Dynamics [J]. Vehicle System Dynamics, 1998, 28(Supp 1.):553—558.
54. Drozdziel J, Sowinski B, Groll W. The Effect of Railway Vehicle-track System Geometric Deviation on its Dynamics in the Turnout Zone [J]. Vehicle System Dynamics, 1999, 33(Supp 1.):641—652.
55. Gurule S, Wilson N. Simulation of Wheel/rail Interaction in Turnouts and Special Track work [J]. Vehicle System Dynamics, 1999, 33(Supp 1.):143—154.
56. Oscarsson J. Dynamic Train-track-ballast Interaction with Unevenly Distributed Track Properties [C]. 17th IAVSD Symposium on Dynamics of Vehicles on Roads and on Tracks, Lyngby, Denmark, 2001.
57.胡用生,谭复兴,陆正刚.TBDS轮轨耦合模型的仿真验证及其应用[J].铁道学报,1996,18(3).
58.李德建,曾庆元.列车—直线轨道空间耦合时变系统振动分析[J].铁道学报,1997,19(1):101—107.
59.金玉云.机车车辆/轨道系统垂向耦合动力学有限元分析的研究[D].北京:铁道部科学研究院博士学位论文,2000.
60.刘学毅,印洪.钢轨波形磨耗的影响因素及减缓措施[J].西南交通大学学报,2002,37(5):483—487.
61.王小文,章欣,冯文相.广深准高速铁路钢轨波状磨耗特点和发展规律[J].中国铁道科学,1998,19(2):28—34.
62.王平.道岔区轮轨系统动力学的研究[D].成都:西南交通大学博士学位论文,1997.
63.任尊松.车辆—道岔系统动力学研究[D].成都:西南交通大学博士学位论文,2000.
64.陈果.车辆—轨道耦合系统随机振动分析[D].成都:西南交通大学博士学位论文,2000.
65.王开云,翟婉明,蔡成标.车辆在弹性轨道结构上的横向稳定性分析[J].铁道车辆,2001(7):1—4.
66.梁波,蔡英,朱东生.车—路垂向耦合系统的动力分析[J].铁道学报,2000,22(5):65—71.
67.苏谦,蔡英.高速铁路路基结构空间时变系统耦合动力分析[J].西南交通大学 学报,2001,36(5):509—513.
68.王其昌,蔡成标,罗强,蔡英.高速铁路路桥过渡段轨道折角限值分析[J].铁道学报,1998,20(3):109—113.
69.罗强,蔡英,翟婉明.高速铁路路桥过渡段的动力学性能分析[J].工程力学,1999,16(5):65—70.
70.罗强,蔡英.高速铁路路桥过渡段变形限值与合理长度研究[J].铁道标准设计,2000,(6～7):2—4.
71.蔡成标,翟婉明,赵铁军,田利民,王志朋.列车通过路桥过渡段时的动力作用研究[J],交通运输工程学报,2001,1(1):17—19.
72.蔡成标,翟婉明,王其昌.不同轨下基础轨道连接的动力特性分析[J],铁道学报,2002,24(2):79—82.
73.毛得军,雷晓燕,杜厚智.提速线路轨道过渡段动力响应分析[J].华尔交通大学学报,2001,18(1):35—40.
74.王于,翟婉明,王其昌,林良明.一种确定轨道过渡段长度的新方法[J].铁道工程学报,1999(4):25—28.
75. Cooperider N K, Law E H, Hull R, Kadala P S, Tuten J M. Analytical and Experimental Determination of Nonlinear Wheel/Rail Geometric Constraints. Symposium on Railroad Equipment Dynamics, Trans. ASME, April 1976
76. Hull R, Cooperider N K. Influence of Nonlinear Wheel/Rail Contact Geometry on Stability of Rail Vehicle. Journal of Engineering for Industry, Trans. ASME, 99(1), 1977
77.杨国桢.磨耗形踏面轮轨几何参数[J].铁道车辆,1980 (10—12)
78.徐昭鑫.直轨道对对称轮对的几何约束兼及等效斜度和重力刚度[J].西南交通大学学报,1980(4)
79.严隽耄.具有任意轮廓形状的轮轨空间几何约束的研究[J].西南交通大学学报,1983(3)
80.严隽耄,王开文.锥形及磨耗形踏面轮对的空间轮轨接触几何约束特点[J].铁道学报,1985(6)
81.王开文.车轮接触点迹线及轮轨基础几何参数的计算[J].西南交通大学学报,1984(1)
82.严隽耄,尹作忠,郭宝立,王开文.轮轨接触几何关系实验研究[J].铁道车辆,1983 (6)
83.杨国桢.车轮踏面形状的初步研究[J].铁道车辆,1978 (11—12)
84.杨国桢,张孝珂.对磨耗形踏面的研究[J].铁道学报,1983 (6)
85.金鼎昌.磨耗形踏面研究[J].西南交通大学学报,1984(1)
86.鲍维千,金鼎昌.对机车磨耗形踏面定型的一些看法[J].西南交通大学学报,1984(4)
87.孙翔,金鼎昌.磨耗形踏面与钢轨的两点接触[J].西南交通大学学报,1985(2)
88.罗赟,金鼎昌.轮轨三维接触的快速算法[J].铁道学报,1989,11(3)
89.郭仕章,蔡成标,翟婉明,王其吕.车辆—轨道系统横向耦合动力学的研究.铁道学报,1994,16(增刊)
90. Carter F W. On the action of a Locomotive driving wheel. Pro. R. Soc. London. A, 112, 1926:151-157
91. Johnson K L. The effect of a tangential contact force upon the rolling motion of an elastic sphere on a plane. J. Appl. Mech. Vol. 25 1958:339-346
92. Vermeulen P J, Johnson K L. Contact of non-spherical bodies transmitting tangential forces. J. Appl. Mech. Vol. 31 1964:338-340
93. Kalker J J. On the rolling contact of two elastic bodies in the presence of dry friction. Ph. D Thesis, Delft, The Netherland, 1967
94. Kalker J J. Simplified theory of rolling contact. Delft Progress Report 1, 1973
95. Kalker J J. Three-dimensional elastic bodies in rolling contact. Kluwer Acadmic Publishers, Dordrecht, 1990
96. Kalker J J. Wheel-rail rolling contact theory. Wear 144, 1991:243-281
97. Garg V K, Dukkipati R V.[加拿大]著.沈利人译.铁道车辆系统动力学[M].成都:西南交通大学出版社,1998
98. Shen Z Y, Hedric J K, Elkins J A. A comparison of alternative creep-force models for rail vehicle dynamic analysis. Proc. 8th IAVSD Symp., Cambridge, MA, 1984:591-605
99.孔祥安,江晓禹,金学松.固体接触力学.北京:中国铁道出版社,1999
100.金学松,张立民.轮轨蠕滑力分析计算中几种蠕滑力模型的比较.铁道学报,1998,20(增刊):56—61
101. Willis R. The effect produced by causing weights to travel over elastic bars. Appendix to the Report of the Commissioners Appointed to Inquire into the Application of Iron to Railway Structures. H M Stationery Office. London, 1849
102. Stokes G G. Discussion of a differential equation relating to the breaking of railway bridge. Transactions of the Cambridge Philosophical Society, Part 5(85), 1849
103. Robinson S W. Vibration of bridges. ASCE Transactions Vol. 16, 1887
104. Krylov A N. Mathematical Collection of Papers of the Academy of Sciences. St. Petersburg, Russia, Vol. 61, 1905
105. Timoshenko S. On the forced Vibrations of Bridges. Philosophical Magazine Series 6(43), 1922
106. Timoshenko, S. Vibrations of Bridges. Transaction ASME, 53, 1928
107. Inglis C E. A Mathematical Treatise on Vibration of Railway Bridges. Cambridge University Press, Cambridge, 1934
108. Schallenkamp A. Schwingungen Von Tragern bei Bewegten Lasten. Ingenieur Archly 8, 1937
109. Muchnikov V M. Some methods of computing vibration of elastic systems subjected moving loads. Gosstroiizdat, Moscow, 1953
110. Mise K, Kunii S. A theory for the forced vibration of a railway bridge under the action of moving loads. Quarterly Journal of Mechanics & Applied Mathematics, Vol. 9, 1956
111. Wen R K. Dynamic response of beams traversed by two-axle loads. Journal of Engineering, Mechanics Division, ASCE Vol. 86(5), 1960
112. Hiral A., Ito M. dynamic effects produced by trains upon suspension bridges. Symposium on Suspension Bridges, Lisbon, 1966
113. HiralA., Ito M. Response of suspension bridges to moving vehicles. Journal of the Faculty of Engineering, University of Tokyo, Vol. ⅩⅩⅨ, No. 1, 1967
114. Biggs J M. Introduction to structures dynamics, McGraw-Hill Book Co., Inc., NewYork, 1964
115. Fryba L. Vibration of solids and structures under moving loads. Noordhoff International Publishing, Groningen, the Netherlands, 1972
116.何度心.桥梁振动研究.北京:地震出版社,1989
117.鲍达尔编,胡人礼译.铁路桥梁与机车车辆相互作用.铁道部专业设计院工程建设标准规范管理处印,1987
118.李国豪著.桁梁桥的扭转、稳定和振动.北京:人民交通出版社,1978
119.松浦章夫.高速铁路车辆与桥梁相互作用.铁道技术研究资料,1974,31 (5):14—17
120.松浦章夫.新干线铁路桥梁竖向允许挠度.铁道技术研究报告,1974,31 (10):445—449
121.松浦章夫.高速铁路桥梁动力问题的研究.日本土木学会论文报告集,1976,12,No.256:35-47
122.松浦章夫.二轴货车走行性长大吊桥折角限度.铁道技术研究报告(日),1978,1806:1—44
123. Dhar C L. A method of computing bridge impact. Ph. D. Thesis, Illinois Institute of Technology, Chicago, Illinois, 1978
124. Wiriyachai A. Impact and fatigue in open-deck railway truss bridge. Ph. D. Thesis, Illinois Institute of Technology, Chicago, Illinois, 1980
125. Chu R H, Garg V K, Dhar C L. Railway-bridge Impact: simplified train and bridge model, Journal of the Structure Division, ASCE, 1979, 105(9):1823-1844
126. Chu K H, Garg V K, Wiriyachai A. Dynamic interaction of railway train and bridge, Vehicle System Dynamics, 1980, 9(4):207-236
127. Garivaltis D S, Garg V K. Dynamic response of a six-axle locomotive to random irregurities, Vehicle System Dynamics, 1980, 9(3):117-147
128. Bhatti M H. Vertical and Lateral Dynamic Response of Railway Bridge due to Nonlinear Vehicle and Track Irregularities. Ph. D. Thesis, Illinois Institute of Technology, Chicago, Illinois, 1982
129. Diana G, et al. A Numerical Method of Define the Dynamic Behavior of a Train Running on a Deformable Structure. MECCANICA, Special Issue, 1988:27-42
130. Diana G, et al. Dynamic Interaction between Railway Vehicle and Track. Report Dip. Di. Meccanica Politecnico di Milano, 1986
131. Diana G, Cheli F. Dynamic Interaction of Railway Systems with Large Bridges. Vehicle System Dynamics 1989, 18(1-3):71-106
132. Diana G, et al. Wind Effects on the Dynamic Behavior of Suspension Bridge. International Report, Milano, 1986
133. Olsson M. Finite Element Model Coordinate Analysis of Structure Subjected to Moving Loads. Journal of Sound & Vibration, 1985, 99(1):1-12
134. Olsson M. On the Foundational Moving Load Problems. Journal of Sound & Vibration, 1991, 145(2):299-307
135. Tanabe M, Yamada Y. Model Method for Interaction of Train and Bridge. Journal of Computers & Structures, 1987, 27(1):119-127
136. Bogaert Van. Dynamic Response of Trains Crossing Large Span Double-track Bridges. Journal of Constructional Steel Research, 1993, 24(1):57-74
137. Green M F, Cebon D. Dynamic Response of Highway Bridges to Heavy Vehicles Loads: Theory and Experimental Validation. Journal of Sound & Vibration, 1994, 170(1):51-78
138. Green M F, et al. Effects of Vehicle Suspension Design on Dynamics of Highway Bridges. Journal of Structure Engineering, ASCE, 1995, 121(2): 272-282
139. Yang Y B, et al. Vehicle-Bridges Interaction Analysis by Dynamic Condensation Method. Journal of Structure Engineering, ASCE, 1995, 121(11): 1636-1643
140. Yang Y B, et al. Impact Formulas for Vehicle Moving over Simple and Continuous Beams. Journal of Structure Engineering, ASCE, 1995, 121(11): 1644-1650
141. Yang Y B, et al. Vehicle-Bridges Interaction Element for Dynamic Analysis. Journal of Structure Engineering, ASCE, 1997, 123(11): 1512-11518
142. Yang Y B, et al. Vibration of Simple Beams due to Trains Moving at High Speeds. Journal of Structure Engineering, ASCE, 1997, 19(11): 936-944
143.Manfred Zacher.铁路桥梁动力学及其对线路上部建筑的影响.铁路工程师,2001,7(2):29—33.
144.李国豪著.桥梁结构稳定与振动.北京:中国铁道出版社,1992年
145.李国豪著.桥梁结构稳定与振动(修订版).北京:中国铁道出版社,1996年
146.陈英俊.车辆荷载下桥梁振动基本理论的演变.桥梁建设,1975,(2):21—35
147.胡人礼.普通桥梁结构振动.北京:中国铁道出版社,1988年
148.胡人礼.桥梁力学.北京:中国铁道出版社,1999年
149.何度心.列车动载.地震工程与工程振动,1988,8(4):78-98
150.何度心.桥梁振动研究.北京:地震出版社,1989
151.曾庆元等.桁梁行车空间振动计算的桁段有限元法.桥梁建设,1985,(4):1-16
152.曾庆元,杨平.形成矩阵的“对号入座”法则与桁梁空间分析的桁段有限元法.铁道学报,1986,8 (2):48—58
153.曾庆元,郭向荣.列车桥梁时变系统振动分析理论及应用.北京:中国铁道出版社,1999年
154.曾庆元,骆宁安等.桥上列车横向摇摆力的初步研究.桥梁建设,1989,(2):28-36
155.曾庆元.关于铁路桥梁的刚度问题.长沙铁道学院学报,1991,9(3):1—15
156.曾庆元等.列车—桥梁时变系统的横向振动分析.铁道学报,1991,13(2):38-46
157.曾庆元.弹性系统动力学总势能不变值原理.华中理工大学学报,2000,28(1):1-3
158.朱汉华.列车—桥梁时变时变系统振动能量随机分析理论[D].长沙:长沙铁道学院博士学位论文,1991.
159.王荣辉,郭向荣.高速列车—钢桁梁桥系统横向振动随机分析.铁道学报,1996,18 (1):90—95
160.郭向荣,曾庆元.高速铁路钢桁梁桥横向刚度限值研究.长沙铁道学院学报,1998,16 (2):1—6
161.郭向荣.高速铁路桥梁—列车时变系统空间振动分析[D].长沙:长沙铁道学院博士学位论文,1999.
162.张麟,曾庆元.钢桁梁桥横向刚度控制指标的探讨.桥梁建设,1998,(1):1-4
163.郭文华,郭向荣等.大跨度斜拉桥空间振动计算分析.振动与冲击,1998.17(1):30-33
164.郭文华,郭向荣,曾庆元.京沪高速铁路南京长江大桥斜拉桥方案车桥系统振动分析.土木工程学报,1999,32 (3):23—27
165.郭向荣,曾庆元.高速铁路多∏形预应力混凝土梁桥动力特性及列车走行性分析.铁道学报,2000,22 (1):72—78
166.郭向荣,曾庆元.高速铁路结合梁桥与列车系统振动分析模型.华中理工大学学报,2000,28(3):60-62
167.程庆国,许慰平.大跨度铁路斜拉桥列车走行性探讨.92’全国桥梁结构学术大会论文,武汉,41-51
168.程庆国,潘家英.大跨度铁路斜拉桥竖向刚度分析.92’全国桥梁结构学术大会论文,武汉,1163-1168
169.潘家英,程庆国.高速列车、桥梁耦合系统动力学研究.国家自然科学基金重点项目“高速铁路运行系统动力学与运行控制”研究报告之二,1998
170.潘家英,余振声,辛学忠,高芒芒.大跨径独塔斜拉桥全桥空间模型试验与分析.土木工程学报,1998,31 (5)
171.张健峰.大跨度铁路钢斜拉桥刚度问题的研究[M].北京:铁道部科学研究院硕士学位论文,1981.
172.许慰平.大跨度铁路桥梁车桥空间耦合振动研究[D].北京:铁道部科学研究院博士学位论文,1988.
173.孙建林.大跨度斜拉桥横向振动特性分析[D].北京:铁道部科学研究院博士学位论文,1988.
174.杨岳民.大跨度铁路桥梁车桥动力响应理论分析及试验研究[D].北京:铁道部科学研究院博士学位论文,1995.
175.王贵春.大跨度铁路斜拉桥车激空间振动线性及非线性分析[D].北京:铁道部科学研究院博士学位论文,1981.
176.高芒芒.高速铁路列车—线路—桥梁耦合振动及列车走行性研究[D].北京:铁道部科学研究院博士学位论文,2001.
177.高芒芒,李永强,许兆军,潘家英.高速列车作用下的芜湖长江大桥车桥耦合振动分析.中国铁道科学,2001,22 (5)
178.张煅,柯在田.既有线提速至160km/h桥梁评估的研究.中国铁道科学,1996,17 (1):9—20
179.刘汉夫,杨孚衡等.对铁路上承式钢板梁横摆振动的剖析.中国铁路,1999,(5):29—32
180.谢毅,严普强等.准高速行车条件下铁路桥梁振动特性的试验研究.振动与冲击,1998,17 (1):53—57
181.夏禾,陈英俊.车—梁—墩体系动力相互作用分析.土木工程学报,1992,25(2):3—12
182.夏禾,陈英俊等.风和列车荷载共同作用下刚梁柔拱组合桥的动力响应分析.92’全国桥梁结构学术大会论文,武汉,1063—1070
183.夏禾,阎贵平等.列车—斜拉桥系统在风载作用下的动力响应.北方交通大学学报,1995,19 (2):131—136
184.夏禾,陈英俊.风和列车荷载同时作用下车桥系统的动力可靠度.土木工程学报,1994,27 (2):14—21
185.夏禾,陈英俊.列车提速情况下铁路双线简支钢桁梁动力响应分析.铁道学报,1996,18 (5):75—82
186.夏禾.高速铁路连续梁桥动力响应分析.北方交通大学学报,1997,21 (4):339-404
187.夏禾.钢板梁桥横向振动加固及其试验研究.工程力学增刊,1998,473—478
188.夏禾,张宏杰等.车桥耦合系统在随机激励下的动力分析及其应用.工程力学,2003,20(6):99—105
189.夏禾,张楠等.300km/h高速铁路PC槽型梁动力试验研究.工程力学,2003,20(3):142～149
190.夏禾.车辆与结构动力相互作用.北京:科学出版社,2002
191.阎贵平,夏禾.列车与刚梁柔拱组合系桥系统的地震响应分析.北方交通大学学报,1994,18 (1):9—16
192.阎贵平,夏禾.铁路斜拉桥的地震响应特性研究.北方交通大学学报,1995,9(2):137—142
193.张楠.高速铁路铰接式列车车桥动力耦合问题的理论分析与实验研究[D].北京:北方交通大学博士学位论文,2002
194.曹雪琴.列车通过时桥梁结构竖向振动分析.上海铁道学院学报,1981,2 (3):1—15
195.曹雪琴.钢桁梁桥横向振动.北京:中国铁道出版社,1991
196.曹雪琴,陈晓.轮轨蛇行引起桥梁横向振动随机分析.铁道学报,1986,8 (1):89—97
197.曹雪琴,刘必胜,吴鹏贤.桥梁结构动力分析.北京:中国铁道出版社,1997
198.曹雪琴,顾萍.沪宁线限速钢梁桥提速试验与分析.上海铁道科技,2000,3:14—16
199.曹雪琴等.列车过桥箱形钢梁空间振动分析.上海铁道学院学报,1982,3 (3):17—35
200.王刚,曹雪琴.高速铁路大跨度斜拉桥车桥动力分析.上海铁道大学学报,2000,21 (8):7—11
201.凌知民,曹雪琴等.铁路高墩连续梁桥车桥耦合振动响应分析.铁道学报,2002,24 (5):98—102
202.沈锐利.列车过桥时桁梁桥的空间振动分析[M].成都:西南交通大学硕士学位论文,1987
203.沈锐利.高速铁路桥梁与车辆耦合振动研究[D].成都:西南交通大学博士学位论文,1998
204.沈锐利.高速铁路线上简支梁桥车桥共振问题初探.西南交通大学学报,1995,30 (3):275—282
205.沈锐利.高速铁路简支梁桥竖向振动响应研究.中国铁道科学,1996,17 (3):24—34
206.李小珍,强士中等.高速列车—大跨度钢斜拉桥空间耦合振动响应研究.桥梁建设,1998 (4):65—68
207.李小珍,强士中.京沪高速南京越江钢斜拉桥车桥耦合振动分析.西南交通大学学报,1999,34 (2):153—157
208.李小珍,王应良,强士中.大跨度连续拱桁组合钢桥空间振动分析.振动与冲击,1999,18 (4):35—39
209.李小珍,喻璐,强士中.不同主梁竖曲线下大跨度斜拉桥的车桥耦合振动分析.振动与冲击,2003,22 (2):43—46
210.李小珍.高速铁路列车—桥梁系统耦合振动理论及应用研究[D].成都:西南交通大学博士学位论文,2000
211.袁向荣.考虑约束扭转效应时桥梁的振动分析[D].成都:西南交通大学博士学位论文,1992
212.葛玉梅.斜拉桥在考虑风效应时的车—桥耦合振动[D].成都:西南交通大学博士学位论文,2001.
213.何发礼.高速铁路中小跨度曲线梁桥耦合振动研究[D].成都:西南交通大学博士学位论文,1999
214.单德山.高速铁路曲线梁桥车桥耦合振动分析及大跨度曲线梁桥设计研究[D].成都:西南交通大学博士学位论文,1999
215.李小珍,强士中.列车—桥梁耦合振动研究的现状与发展趋势.铁道学报,2002,24 (5):112—120
216.Garg V K. Dukkipati R V. Dynamics of Railway Vehicle System. New York: 6Academic Press, 1984
217.德国联邦铁路城际特别快车ICE技术任务书.铁道部科技司,西南交通大学,1993
218.Prud' hommme A. La Voie. RGCF Speciale, 1970
219.池守昌幸.轨道狂.铁道缐路,1981,Vol.29,No.9
220.罗林.轨道随机干扰函数.中国铁道科学,1982,13 (1):74—110
221.长沙铁道学院随机振动研究室.关于机车车辆/轨道系统随机激励函数的研究.长沙铁道学院学报,1985,(2):1～36
222.铁道部科学研究院铁道建筑研究所.我国干线轨道不平顺功率谱的研究.TY-1215,北京:铁道部科学研究院,1999
223.王澜.轨道结构随机振动理论及其在轨道结构减振中的应用[D].北京:铁道部科学研究院博士学位论文,1988
224.张格明.中高速条件下车线桥动力分析模型与轨道不平顺影响[D].北京:铁道部科学研究院博士学位论文,2001
225.王其昌主编.高速铁路土木工程.成都:西南交通大学出版社,1999
226.王其昌,韩启孟编译.板式轨道设计与施工.成都:西南交通大学出版社,2002
227.铁道科学研究院铁道建筑研究所.桥上无碴轨道综合试验研究报告.北京,2003
228. Tanabe M, Wakui H, et al. Computational model of a Shinkansen train running on the railway structure and the industrial applications. Journal of Materials Processing Technology, 2003, (140):705-710
229.中华人民共和国铁道部.京沪高速铁路设计暂行规定(上册).北京:中国铁道出版社,2003
230.王福天.车辆动力学.北京:中国铁道出版社,1981
231.曹志远.板壳振动理论.北京:中国铁道出版社,1989
232.范立础.桥梁抗震.上海:同济大学出版社,1997
233.刘更.结构动力学有限元程序设计.北京:国防工业出版社,1993
234.朱伯芳.有限单元法原理与应用(第二版).北京:中国水利水电出版社,1998
235.王勖成.有限单元法.北京:清华大学出版社,2003
236.(美)巴斯.K.J著,傅子智译.工程分析中的有限元法.北京:机械工业出版社,1991
237.薛弼一.脱轨机理及试验研究[D].成都:西南交通大学博士学位论文,1998
238.孙翔.确定轮轨接触椭圆的直接方法.西南交通大学学报,1985,(4)
239. Kalker J J. On the rolling contact of two elastic bodies in the presence of dry friction. Ph. D. Dissertation, Delft University of Technology, Delft, Netherlands, 1967
240.中华人民共和国铁道部.铁路线路维修规则.北京:中国铁道出版社,2001
241. Newmark NM. A method of Computation for Structural Dynamics. J. Engng Mech. Div. ASCE. Vol. 85 No. EM3, 1959
242.GB 5599—85,铁道车辆动力学性能评定和试验鉴定规范,1985
243.TB/T 2360—93,铁道机车动力学性能试验鉴定方法及评定标准,1993
244.95J01—L,高速试验列车动力车强度及动力学性能规范,1995
245.95J01—M,高速试验列车客车强度及动力学规范,1995
246.铁道部科学研究院机辆所译.既有线铁路运营提速试验手册·解释.国外高速列车译文集,1997
247.铁道部科学研究院译.脱轨研究专集.铁路行车安全译文集,1998
248.俞展猷,李富达等.车轮脱轨及其评价.铁道学报,1999,21 (3):33—38
249.翟婉明.货物列车动力学性能评定标准的研究与建议方案.铁道车辆,2002,40(1—3)
250.曾宇清,王卫东等.车辆脱轨安全评判的动态限度.中国铁道科学,1999,20(4):70—76
251.石田 弘明等(日).铁道车辆脱轨安全性评定标准.国外铁道车辆,1996,No.5
252.石田 诚等(日).铁道车辆脱轨评估的安全标准.国外铁道车辆,2000,No.4
253.(波兰).车辆在曲线区段运行安全性的评价.国外铁道车辆,2000,No.4
254.宫本昌幸.机车车辆的脱轨机理.铁道总研报告,1996,10 (3):31—38
255. Weinstock H. Wheel Climb Derailment Criteria for Evaluation of Rail Vehicle