轨道结构垂向荷载传递与路基附加动应力特性的研究
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摘要
高速铁路轨道结构各部件质量的提高、机车车辆的改进以及严格的轨道管
理维护标准使得轨道结构的荷载传递有别于低速铁路。本文以大量实测数据为基
础结合理论分析对垂向荷载的传递及分配进行研究。高速列车运行对轨道结构产
生的动力效应是不容忽视的，以大系统耦合动力学理论为基础对影响路基附加动
应力的因素进行分析亦是本文研究的主要内容之一。
影响垂向荷载的因素是多方面的，但以速度为各影响因素的综合代表参量
总结其变化规律是可行的。通过对试验数据的统计分析，得出综合动载系数的计
算方法。
通过对轨道结构系统动力响应的分析，认为其在机车车辆荷载作用下处于
弹性工作状态，以此为基础，建立轨枕荷载分配模型及道床中应力扩散模型。模
型应用于道床及路基附加动应力的计算，其结果与实测数据符合较好。为了方便
计算，本文给出轨下及轨枕中心位置路基附加动应力在单位荷载作用下沿深度方
向的计算系数。
针对高速铁路轨道结构系统各组成部件设计荷载取值的不协调性，本文提
出完整的荷载统一协调模式，并提出设计荷载安全系数的概念，使隐含在各荷载
取值计算中的安全储备显式化。
路基的变形控制是保证轨道平顺性的关键因素之一。本文以软土地区路基
为对象，对路基的永久及回弹变形作分析计算，并对应力和变形的影响控制范围
进行了分析讨论。
以编制的平面车辆一轨道结构耦合动力学分析计算程序为基础，从机车运
行速度、路基刚度、路基阻尼及轨道的平顺性（不平顺类型、波长、波深）四个
方面对路基附加动应力的变化规律作模拟计算分析，并对结果进行综合讨论。
Improvement of the track Structure components＇ and＇ vehicle＇ quality
companyting with the strict track irreguarity management and maintennance standard
resulted in the difference of the load transformation and distribution through track
structure between the high-speed railway and regular one. Based on a lot of site
measurement together with theoretical analysis, how the vertical forces transform
through the track structure and its principals are studied. The dynamic resposes of
the track structure caused by high-speed cars and locomotives can't be neglected, so
the additional dynamic stresses of subgrade are analyzed according to the couping
dynamic mechanics.
Many bfactors are the reasons for the change of vertical load, taking the velocity
of vehicles as their representative parameters is suitable from the experience. Method
for calculating the synthesized dynamic additional coeffcient is determined by the
statistic analysis of the site experimental data.
According to the dynamic response analysis of track structure, the conclusion is
made that the track structure is in the elastic work status under dynamic load caused
by cars and locomotives. Taking the conclusion as bases, a transformation and
distribution model for the vertical forces through the ties and ballast is established.
Comparison between the calculating results based on the model and the site
measurement shows tbat the model established can reflect the actual work status of
track structure system. In order to simplify the calculation, coefficients are given for calculating additional dynamic stresses along the direction of depth by unid load
caused by vehicles at the locations under rail and center of subgrade.
The design load for the components of the track structure is not coordinated
with each other according to the conclusion from the high-speed railway study of
china,so a completely harmonized method is given. Safe coefficients of design load
are used in the harmonized method that can make the implicit safe reservs for the
design load visualized.
The deformation control of subgrade is one Of critical factors that guarantee the
track regularity unfor the normal status. The two embankments are selected from the
saturated soft clay area and their permanent and resilient deformations are calculated
according to the calculating model established. The comparison between the
calculating results and the site measurements is discussed in details. Influence scope
Imprvemen of the M for cOmPOnbo ~ and vehicle' quaity
companng with the strict od irregularity Inanagnent and mainienance standard
resulted in the dibo of the load boformedon and .distribution thrOUgh ed
tw betwee the highrpeed railWay and regUlar one. Based on a lot of site
measurem together with thoorecal analySS, hOw the vwhod fOrCes twfbnn
throwi the traCk StrUthe and its Prinops are studied. The tw rerponses of
the od StrUde caused by high-Seed cars and locoInOthes can't be negleCte, so
the additional dynamic theses of SUb~ are analpe accordin tO the coUPlin
~c chcs.
Man hors are the -- for the changr Ofed load, taking the vefocity
of vehicles as thch -- Paramfor is suha1e from the expeence. Methd
fOr calculatin the SyntheSbo wtc addional coefficient is detennind by the
ndaic analySs of the she exPeriInental data.
Accondng to the ~c reSPOnSe analyS8 of od StrUCtUr, the conctheion is
mad tba the od StrUCtUr i8 in the elastic work StatUS Unde ~c load CauSed
by cars and locomOthes. W the conCluson as for, a twforon and
diWon mode for the vwhcal forCeS wt the tieS and bailaSt is est8blished.
cOmParison betWeen the calculating results based on the model and the site
-- bo tbat the model establisb can rebo the actual work statUS of
ed bo ~. In de to bo the ededow coemcients are ~ tor
pe ds ~ stresses aiOn the bo or ~ by nd loat
ca- trr veta8 at the locatri unta ran ana - or sutr~.
The deSgn foad for the COInPOned Of the od strutri is not COOM
with eaCh otber aCCOwi tO the COncha bo tbe highW
理维护标准使得轨道结构的荷载传递有别于低速铁路。本文以大量实测数据为基
础结合理论分析对垂向荷载的传递及分配进行研究。高速列车运行对轨道结构产
生的动力效应是不容忽视的，以大系统耦合动力学理论为基础对影响路基附加动
应力的因素进行分析亦是本文研究的主要内容之一。
影响垂向荷载的因素是多方面的，但以速度为各影响因素的综合代表参量
总结其变化规律是可行的。通过对试验数据的统计分析，得出综合动载系数的计
算方法。
通过对轨道结构系统动力响应的分析，认为其在机车车辆荷载作用下处于
弹性工作状态，以此为基础，建立轨枕荷载分配模型及道床中应力扩散模型。模
型应用于道床及路基附加动应力的计算，其结果与实测数据符合较好。为了方便
计算，本文给出轨下及轨枕中心位置路基附加动应力在单位荷载作用下沿深度方
向的计算系数。
针对高速铁路轨道结构系统各组成部件设计荷载取值的不协调性，本文提
出完整的荷载统一协调模式，并提出设计荷载安全系数的概念，使隐含在各荷载
取值计算中的安全储备显式化。
路基的变形控制是保证轨道平顺性的关键因素之一。本文以软土地区路基
为对象，对路基的永久及回弹变形作分析计算，并对应力和变形的影响控制范围
进行了分析讨论。
以编制的平面车辆一轨道结构耦合动力学分析计算程序为基础，从机车运
行速度、路基刚度、路基阻尼及轨道的平顺性（不平顺类型、波长、波深）四个
方面对路基附加动应力的变化规律作模拟计算分析，并对结果进行综合讨论。
Improvement of the track Structure components＇ and＇ vehicle＇ quality
companyting with the strict track irreguarity management and maintennance standard
resulted in the difference of the load transformation and distribution through track
structure between the high-speed railway and regular one. Based on a lot of site
measurement together with theoretical analysis, how the vertical forces transform
through the track structure and its principals are studied. The dynamic resposes of
the track structure caused by high-speed cars and locomotives can't be neglected, so
the additional dynamic stresses of subgrade are analyzed according to the couping
dynamic mechanics.
Many bfactors are the reasons for the change of vertical load, taking the velocity
of vehicles as their representative parameters is suitable from the experience. Method
for calculating the synthesized dynamic additional coeffcient is determined by the
statistic analysis of the site experimental data.
According to the dynamic response analysis of track structure, the conclusion is
made that the track structure is in the elastic work status under dynamic load caused
by cars and locomotives. Taking the conclusion as bases, a transformation and
distribution model for the vertical forces through the ties and ballast is established.
Comparison between the calculating results based on the model and the site
measurement shows tbat the model established can reflect the actual work status of
track structure system. In order to simplify the calculation, coefficients are given for calculating additional dynamic stresses along the direction of depth by unid load
caused by vehicles at the locations under rail and center of subgrade.
The design load for the components of the track structure is not coordinated
with each other according to the conclusion from the high-speed railway study of
china,so a completely harmonized method is given. Safe coefficients of design load
are used in the harmonized method that can make the implicit safe reservs for the
design load visualized.
The deformation control of subgrade is one Of critical factors that guarantee the
track regularity unfor the normal status. The two embankments are selected from the
saturated soft clay area and their permanent and resilient deformations are calculated
according to the calculating model established. The comparison between the
calculating results and the site measurements is discussed in details. Influence scope
Imprvemen of the M for cOmPOnbo ~ and vehicle' quaity
companng with the strict od irregularity Inanagnent and mainienance standard
resulted in the dibo of the load boformedon and .distribution thrOUgh ed
tw betwee the highrpeed railWay and regUlar one. Based on a lot of site
measurem together with thoorecal analySS, hOw the vwhod fOrCes twfbnn
throwi the traCk StrUthe and its Prinops are studied. The tw rerponses of
the od StrUde caused by high-Seed cars and locoInOthes can't be negleCte, so
the additional dynamic theses of SUb~ are analpe accordin tO the coUPlin
~c chcs.
Man hors are the -- for the changr Ofed load, taking the vefocity
of vehicles as thch -- Paramfor is suha1e from the expeence. Methd
fOr calculatin the SyntheSbo wtc addional coefficient is detennind by the
ndaic analySs of the she exPeriInental data.
Accondng to the ~c reSPOnSe analyS8 of od StrUCtUr, the conctheion is
mad tba the od StrUCtUr i8 in the elastic work StatUS Unde ~c load CauSed
by cars and locomOthes. W the conCluson as for, a twforon and
diWon mode for the vwhcal forCeS wt the tieS and bailaSt is est8blished.
cOmParison betWeen the calculating results based on the model and the site
-- bo tbat the model establisb can rebo the actual work statUS of
ed bo ~. In de to bo the ededow coemcients are ~ tor
pe ds ~ stresses aiOn the bo or ~ by nd loat
ca- trr veta8 at the locatri unta ran ana - or sutr~.
The deSgn foad for the COInPOned Of the od strutri is not COOM
with eaCh otber aCCOwi tO the COncha bo tbe highW
引文
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79 Magee, G.M., (1965b) Calculation of Rail Bending Stresses for 125-ton Track Cars, ARR Research Canter, Chicago, Illinois.
80 Magee, G.M., (1965b) Cooperative Research on Wood Ties of Railroad Tie Association and The Association of American Railroad Research and Test Department, First Progress Report, AAR.
81 TB2034-88 铁路轨道强度检算法，中国铁道出版社．
82 Stresse in Railroad Track-The Talbot Report, American Railway Engineering Associacion 1980.
83 Raymond, G.P., (1977) Railroad Wood Tie Design and Behaviour, Proc., ASCE, Trans. Eng. Journal, V103, TE4, 521.
84 Heath, D.L., Cottram, M., (1966) Stresses Beneath a Railway Track, The Railway Gazette, Vol.124, 1001-1006.
85 Eisenmann, J., (1969a) Stress on The Permanent Way Due to High Axle Loads, Stahle Eisen, Vol.89, No.7, 373.
86 ORE, (1968) Stresses in The Foundation, Question D17, Stresses in The Rails, The Ballast and Formation Resulting From Traffic Loads, Report D71/RPS/E,Utrecht.
87 Robnett, Q.L., Thompson, M.R., Hay, W.W., (1975) Technical Data Bases Report, Ballast and Foundation Materials Research Program, FRA Report No.FRA-OR&D-76-138, National Technical Information Service, Springfied, Virginia, U.S.A.
88 高速铁路轨道理论计算模式与参数建议值，国家“八·五”科技攻关项目高速铁路线桥隧设计参数选择的研究报告之三。铁科院铁建所，北方交大土建系，1995．
89 高速铁路有碴轨道结构设计参数的研究，“九·五”国家重点科技攻关计划专题：高速铁路线桥结构与技术条件(标准)的研究，铁科院铁建所，1996．
90 高速铁路路基设计技术条件研究，国家“八·五”科技攻关项目高速铁路线桥隧设计参数选择的研究报告之七。铁科院铁建所，1995．
91 轨道、路基、桥梁荷载图式协调，京沪高速铁路综合技术研究附报告之六，铁科院铁建所，1998．
92 沈珠江，土体结构性的数学描述模型-21 世纪土力学的核心问题，岩土工程学报，Vol．18，No．1，1996．
93 沈珠江，广义吸力和非饱和土的统一变形理论，岩土工程学报，Vol．18，No．2，1996．
94 沈珠江，土体变形特性的损伤力学模拟，第五届全国岩土力学数值分析及解析方法讨论会论文集，重庆，1994．
95 Matsuda, H. et al., Settlement Calculation of Clay Layers Induced by Earthquake, Proc.2th Int. Couf. on Recent Advances in Geotechnical Earthquake Eng. And Soil Dynamics U.S.A 1991.
96 Baligh, M.M. and Levadoux, J.N., Consolidation Theory for Cyclic Loading, ASCE Vol. 104, GT4, 1978.
97 Edris, E.V., Dynamic Properties of Subgrade Soils, Including Environmental Effects, Texas A&M University, 1976.
98 Shearan D.E. et al., Prediction of Long Term Track Subgrade Settlement Due to Cyclic Wheel Loading, CN Rail Research Centre, Canada, 1980.
99 王云霞，路基基床粘性土动力特性研究，铁道部科学研究院硕士学位论文，1989．9．
100 Fredlund, D.G., Relationship Between Resilient Modulus and Stress Conditions for Cohesive Subgrade Soils, Transp. Res. Rec. 642, 1977.
101 Thompson M.R., Resilient Properties of Subgrade Soils, J. Oeotech. Eng. Div., ASCE, Vol.105, No. 1, 1979.
102 邓安雄，粗颗粒土动力特性的试验研究，铁道部科学研究院硕士学位论文，1995．
103 李江，海洋土在周期荷载下实验研究与边界面模型，中国科学院武汉岩土力学所，硕士学位论文，1989．
104 软土地区路基沉降计算，软土路基下沉规律及整治措施—软土路基下沉规律及控制下沉的技术标准研究报告之七，铁科院铁建所，1992．
105 重复荷载下软粘土变形特性试验研究，软土路基下沉规律及整治措施—软土路基下沉规律及控制下沉的技术标准研究报告之六，铁科院铁建所，1992．
106 杨灿文等，路基填土的压缩沉降，铁科铁科院铁建所，1986．
107 肖甬、长杭等线软土地基铁路路堤调查报告，铁道部上海铁路局等，1992．
108 填土静载及列车动载作用下软土地基沉降观测研究报告，铁道部科学研究院等，1992．
109 常春伟，高速铁路车—线—桥系统动力分析，铁道部科学研究院博士学位论文，1997．
110 翟婉明，车辆轨道耦合动力学，中国铁道出版社，1997．
111 詹裴生，机车动力学，中国铁道出版社，1990．
112 翟婉明，黄志辉，列车动力学的非线性数值分析方法，西南交通大学学报，1991(1)．
113 K.J.Bathe,E.L.Wilson,Numerical Method in Finite Element Analysis,Pretic-Hall，1976．
2 杨灿文，龚亚丽，土压力盒的制造标定和使用，铁道部科学研究院研究报告集，路基土工研究报告第1集，人民铁道出版社，1959．
3 杨灿文，龚亚丽，路基动应力实测报告，铁道部科学研究院研究报告集，路基土工研究报告第2集，人民铁道出版社，1959．
4 郑武线最高时速240Km／h高速列车综合运行试验研究报告，铁道部科学研究院，郑州铁路局，1998．
5 杨春环，周神根执笔，路基动态参数测试报告，广深准高速铁路运营线试验报告之六，铁道部科学研究院铁道建筑研究所，1995．
6 路基变形的观测与分析，重载铁路路基技术条件研究报告(一)，铁道部科学研究院报告，1986．
7 高速铁路软土路基工后沉降标准的研究，铁道部科学研究院铁道建筑研究所，1996．
8 铁路路基技术规范，中国铁道出版社，1994．
9 童大埙主编，铁路轨道，中国铁道出版社，1996．
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27 Talbot, A.N., [Chairman] et al, (1929) Stresses in Railroad Track, Report of the Special Committee to Report on Stresses in Railroad Track; Fifth Progress Peport', AREA Proceedings, Vol.36 69-336.
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29 Talbot, A.N., [Chairman] et al, (1941) Stresses in Railroad Track, Report of the Special Committee to Report on Stresses in Railroad Track; Seventh Progress Peport', AREA Proceedings, Vol.42 753-850.
30 O'Rourko, M.D., (1978) Critique of Conventional Track Design Procedures as Applied to Heavy Axle Load Conditions, BHP, Melb Res. Labs Rep. No. MRL/c77/78/27(1).
31 Magee, G.M., (1971) Cooperative Research on Wood Ties of the Railroad Tie Association and the Association of American Railroads Research and Test Department, Fifth Progress Report, AAR.
32 ORE (1969), Stress in Concrete Sleepers, Question D17, Stresses in the Rails, the Ballast and the Foundation Resulting From Traffic Loads, Report D71/RP9/E Utrecht.
33 Eisenmann, J., (1970) Influence of Sleeper Size and Spacing and Ballast Depth on the Subsoil, ETR, Vol. 19 P307-317, Hestra, Darmstadt.
34 谢天辅，铁路轨道结构静力计算问题，人民铁道出版社，1979．
35 铁路强度专题组，铁路轨道强度计算方法，铁科院铁建所，1979．
36 长沙铁道学院线路构造教研组，钢筋混凝土轨枕弹性系数D的测定方法研究，长院科技，No．2，No．3．，1975．
37 曾树谷，苏小楼，栾承高，道床物理、力学性能的试验研究，中国铁道科学，Vol．5，No．1，1984．
38 王全文，轨道弹性初探，中国铁道学会铁道工程委员会论文集，1982．
39 A.D.Kerr 主编，上海铁道学院译，轨道力学及轨道工程，中国铁道出版社，1983．
40 刘尚文，非线性弹性点支承连续梁的计算，铁科院研究生论文，1981．
41 邢书珍，铁道轨道强度计算的新方法，铁道学报，Vol．7，No．1，1985．
42 Torby, Deflection Results From Moving Loads on a Beam That Rest on an Elastic Foundation Reacting in Compression Only, Journal of Applied Mechanic, Trans. ASME. Vol.42E.
43 S.铁木辛柯，工程中的振动问题，人民铁道出版社，1979．
44 沙湖年慈，铁路线路，人民铁道出版社，1959．
45 左滕裕，轨道力学，中国铁道出版社，1981．
46 左藤吉彦，高周波轨道振动理论解析，铁道技术研究报告，No．1013，1976．
47 邢书珍，铁路轨道振动理论的研究，中国铁道科学，Vol．3，No．1，1980．
48 周宏业，叶翔，钢轨接头强度计算的研究，铁科院研究报告，1963．
49 叶庆佟，钢轨接头处公差引起的附加冲击力计算，铁道标准化，No．6，1978．
50 许实儒，关于P_1力计算问题的讨论，重载运输效率与安全学术会议，中国铁道学会，1991，北京．
51 许实儒，关于轮轨动态作用力P_1、P_2力的计算问题，重载运输效率与安全学术会议，中国铁道学会，1991，北京．
52 吴章江等，车辆通过轨道低扣接头的垂向轮轨作用力计算，铁路机车车辆，No．1，1982．
53 D.Lyon, The Caculation of Track Forces Due to Dipped Rail Joints, Wheel-flats and Rail Welds, British Rail Research Department Track Group, Technical Notes 78.2, February, 1972.
54 D.Lyon, The Effect of Vehicle and Track Parameters Upon the Loads at the Dipped Rail Joint, B.R.B. Research and Development Division Technical Memorandum, TMT36, June. 1974.
55 R.F. Harvey, Results of Caculations of Dynamic Forces at Dipped Rail Joint For Standard and Proposed Semi-supported Joints, BRB Research and Development Division Technical Memoradum, TMTS48, March.1975.
56 R.F. Harvey and VP. Lowdes, Approximate Formulae for Calculating Wheel/rail Forces and Rail Displacement at Rail Welds and for Wheelflats, TMT82, Aug.1977.
57 R.A. Clark, V.P. Lowdes, Discrete Support Track Dynamic Model Theory And Program Guides, BRB Research Department. TMT95, 1979.
58 陈嘉实，赴英国铁路Deby技术中心考察轮轨关系技术总结，铁科院，1982．
59 李定清，轨道接头区轮轨动力效应研究，长沙铁道学院研究生论文，1984．
60 陈道兴，非线性轮轨力效应研究，铁科院研究生论文，1986．
61 Salem, M.T., Hay, W.W., Vertical Pressure Distribution in the Ballast Section and on the Subgrade Beneath Statically Loads Ties, Civil Engineering Studies, Transportation Series No.4, University of Illinois, Urbana, 1970.
62 路基应力的实测与分析，重载铁道路基技术条件研究报告<二>，铁科院研究报告，1986
63 Lundgren, J.R., et al, A Simulation Model of Ballast Support and the Moduls of TrackElasticity, Civil Engineering Studies, Transportation Series No.4, University of Illinois, Urbana, 1970.
64 Meacham, H.C., et al, Studies for Rail Vehicle Track Structure, FRA-OHSGT, FRA-RT-71-45, April 1970.
65 Burmister, D.M., (1943) The Theory of Stresses and Displacement in Layered Systems and Application to Design of Airport Runways, Highway Research Board Proceedings, PP. 126-148.
66 So, W., Martin, G.C., Singh, B., Chang, I.C. and Chang, E.H., (1978) Mathematical Models for Track Structures. Final Report to U.S. DOT/IRA, Report No. DOT FR-30038, Association of American Railroad.
67 Chang, S.C., Adegoke, C.W. and Selig, E.T., (1980) Geotrack Model for Railroad Track Performance. Journal of Geotechnical Engineering, ASCE.
68 ORE (1983b), Question D117-Optimum Adaption of the Conventional Track to Future Traffic, Report No.27-The Behaviour of Track Bed Structure under Repeated Loading, ORE. Utrecht, Netherlands, Report D117/RP27.
69 Shahu, J.J., (1993) Some Analytical And Experimental Ivestigation to Study the Behavior of Soils Under The Railway Track, Ph.D.Thesis, Indian Institute of Technology, Kanpur, India.
70 铁路轨道基础的计算模型及应力变形分析，重载铁路路基技术条件研究报告(五)，铁科院铁建所，1986．
71 Hargis, Louis, L., A Study of Strain Characteristics in a Limestone Gravel Subjected to Repetitive Load, Texas ASM University, College Station, Texas, 1963.
72 Barksdale, R.D., Repeated Loading Test Evaluation of Base Course Materials, Georgin Institute of Technology, 1972.
73 叶阳升，饱和软粘土在单向循环荷载作用下变形特性的研究，铁科院博士学位论文，1996．
74 Monismith, et al., Permanent Deformation Characteristics of. Subgrade Soils Due to Repeated Loading, Transportation Research Record, No.537, 1975.
75 Lane, G.S., Track Deformation at Discrete Vertical Irregularities-Description of a Computer, British Railway Board, Research and Development Division, Track Group Tech. Note TN TS 33.
76 高速铁路养护维修体制的研究，高速铁路线桥结构与技术条件(标准)的研究报告之六，铁科院铁建所，1996．
77 环行线200Km／h以上高速列车综合试验研究报告，铁道部科学研究院，1997
78 广深线200Km／h电动旅客列车组简要试验报告，铁道部科学研究院，铁道部道岔转换中心，铁道部四方车辆研究所，长沙铁道学院，1999．
79 Magee, G.M., (1965b) Calculation of Rail Bending Stresses for 125-ton Track Cars, ARR Research Canter, Chicago, Illinois.
80 Magee, G.M., (1965b) Cooperative Research on Wood Ties of Railroad Tie Association and The Association of American Railroad Research and Test Department, First Progress Report, AAR.
81 TB2034-88 铁路轨道强度检算法，中国铁道出版社．
82 Stresse in Railroad Track-The Talbot Report, American Railway Engineering Associacion 1980.
83 Raymond, G.P., (1977) Railroad Wood Tie Design and Behaviour, Proc., ASCE, Trans. Eng. Journal, V103, TE4, 521.
84 Heath, D.L., Cottram, M., (1966) Stresses Beneath a Railway Track, The Railway Gazette, Vol.124, 1001-1006.
85 Eisenmann, J., (1969a) Stress on The Permanent Way Due to High Axle Loads, Stahle Eisen, Vol.89, No.7, 373.
86 ORE, (1968) Stresses in The Foundation, Question D17, Stresses in The Rails, The Ballast and Formation Resulting From Traffic Loads, Report D71/RPS/E,Utrecht.
87 Robnett, Q.L., Thompson, M.R., Hay, W.W., (1975) Technical Data Bases Report, Ballast and Foundation Materials Research Program, FRA Report No.FRA-OR&D-76-138, National Technical Information Service, Springfied, Virginia, U.S.A.
88 高速铁路轨道理论计算模式与参数建议值，国家“八·五”科技攻关项目高速铁路线桥隧设计参数选择的研究报告之三。铁科院铁建所，北方交大土建系，1995．
89 高速铁路有碴轨道结构设计参数的研究，“九·五”国家重点科技攻关计划专题：高速铁路线桥结构与技术条件(标准)的研究，铁科院铁建所，1996．
90 高速铁路路基设计技术条件研究，国家“八·五”科技攻关项目高速铁路线桥隧设计参数选择的研究报告之七。铁科院铁建所，1995．
91 轨道、路基、桥梁荷载图式协调，京沪高速铁路综合技术研究附报告之六，铁科院铁建所，1998．
92 沈珠江，土体结构性的数学描述模型-21 世纪土力学的核心问题，岩土工程学报，Vol．18，No．1，1996．
93 沈珠江，广义吸力和非饱和土的统一变形理论，岩土工程学报，Vol．18，No．2，1996．
94 沈珠江，土体变形特性的损伤力学模拟，第五届全国岩土力学数值分析及解析方法讨论会论文集，重庆，1994．
95 Matsuda, H. et al., Settlement Calculation of Clay Layers Induced by Earthquake, Proc.2th Int. Couf. on Recent Advances in Geotechnical Earthquake Eng. And Soil Dynamics U.S.A 1991.
96 Baligh, M.M. and Levadoux, J.N., Consolidation Theory for Cyclic Loading, ASCE Vol. 104, GT4, 1978.
97 Edris, E.V., Dynamic Properties of Subgrade Soils, Including Environmental Effects, Texas A&M University, 1976.
98 Shearan D.E. et al., Prediction of Long Term Track Subgrade Settlement Due to Cyclic Wheel Loading, CN Rail Research Centre, Canada, 1980.
99 王云霞，路基基床粘性土动力特性研究，铁道部科学研究院硕士学位论文，1989．9．
100 Fredlund, D.G., Relationship Between Resilient Modulus and Stress Conditions for Cohesive Subgrade Soils, Transp. Res. Rec. 642, 1977.
101 Thompson M.R., Resilient Properties of Subgrade Soils, J. Oeotech. Eng. Div., ASCE, Vol.105, No. 1, 1979.
102 邓安雄，粗颗粒土动力特性的试验研究，铁道部科学研究院硕士学位论文，1995．
103 李江，海洋土在周期荷载下实验研究与边界面模型，中国科学院武汉岩土力学所，硕士学位论文，1989．
104 软土地区路基沉降计算，软土路基下沉规律及整治措施—软土路基下沉规律及控制下沉的技术标准研究报告之七，铁科院铁建所，1992．
105 重复荷载下软粘土变形特性试验研究，软土路基下沉规律及整治措施—软土路基下沉规律及控制下沉的技术标准研究报告之六，铁科院铁建所，1992．
106 杨灿文等，路基填土的压缩沉降，铁科铁科院铁建所，1986．
107 肖甬、长杭等线软土地基铁路路堤调查报告，铁道部上海铁路局等，1992．
108 填土静载及列车动载作用下软土地基沉降观测研究报告，铁道部科学研究院等，1992．
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