动载荷识别若干前沿理论及及应用研究
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摘要
由于工程中结构的复杂性及激励形式的千差万别，工作状态下激励载荷常常难以测量，甚至因载荷作用点的不可达等原因而使实际载荷不可测量。为此，人们发展了种种载荷识别(或称载荷重构)理论与方法。本文就动态载荷的非平稳特性对有关前沿理论作了系统研究，着眼于结构响应输出与频率响应函数间的关系，建立了一类单独利用响应数据进行动载荷及其位置识别的新颖理论体系与方法。
本文首先对动载荷识别的模态模型法及其精度作了详细分析，提出了基于广义域模态模型的动载荷识别方法。以系统中的其他点作激励位置以代替常常为结构上不可达的实际载荷作用点，通过系统辨识得到系统的模态参数并在模态和物理两种坐标下对动态载荷作出估算，从而避免了通常需作的对系统结构的修改或改变边界条件而导致的识别误差。指出了重构冲击型载荷的技术关键和应该避免的问题。
在动载荷识别的模态模型法理论基础上，通过引入控制领域业已应用的空间滤波概念，提出利用离散模态滤波器的正交特性以分离出各阶模态对系统响应的独立贡献，构造的动载荷识别模型减少了算法实现的计算量。通过对离散模态滤波器的改进，避免了载荷重构阶段模态向量误差引起的载荷识别误差积累，从而实现了对经典载荷识别模态模型的校正。
鉴于时间一频率分析在信号处理多种场合下的种种成功应用，本文讨论了应用小波变换构造动载荷识别模型的可行性。利用小波变换作时域内的解卷积计算，分析了结构在冲击载荷作用下的弹性波的散射特性，结合非线性优化方法实现了载荷冲击位置的识别。本文还通过构造基于p-范数的模糊推理神经网络对高速铁路轮轨耦合系统作了辨识。
利用上述动载荷识别模型，本文分别对超音速歼击机模型和高速铁路轮轨耦合系统作了动载荷识别实验验证。结果表明，本文提出的方法能有效地进行未知激励下的动态载荷识别及作用位置识别，从而验证了本文理论的有效性。
本文研究工作获国家航空“九五”预研基金资助。
It is generally very difficult to measure excitation in operating environment in the case of the complexity of the structure or the variant forms of the excitations, sometimes it is even immeasurable for the impact location is usually inaccessible. Nevertheless, certain theories and techniques were developed for force identification or so-called force reconstruction. Aiming at the nonstationary characteristic of the dynamic loads and the relation between the responses and the frequency response functions, by use of the responses only, some novel theories are conducted to develop force identification and impact location approaches in this dissertation.
The modal-model-based method for force identification and the error propagation of the method are analyzed, and an approach is presented based on the modal model within a general domain. By exciting at the other sites of the structure rather than the actual input points which are usually inaccessible, the modal parameters of the system and the dynamic loads are estimated through computations under both modal and physical coordinates. The errors of identification caused by the usual modification of the structure or boundary conditions are consequently evitable. The kernel for the development of impact identification techniques and the means for error elimination are proposed.
On the basis of the modal model theory and the conception of spatial filtering which is derived from the field of control, a more precise force identification model is developed based on the discrete modal filter. The error accumulation caused by the errors of modal vectors is banished and an emendation to the classical modal model is conducted, due to the extraction of the independent contribution of each mode by means of the orthogonality of the modal filter. The computation size is reduced with the technique as well.
In the light of the applications of time-frequency analysis hi many cases of the signal processing, the possibility of constructing a force identification model by wavelet transfer is discussed. By means of the wavelet transformation the deconvolution is done in the time domain. The dispersive properties of the elastic wave within the impacts acted are analyzed, and with the nonlinear optimization method concerned the impact location is identified. On the other hand, by the p-norm based fuzzy inference neural network as proposed in this dissertation, a wheel-rail coupled nonlinear system identification is addressed.
Utilizing the force identification approaches above mentioned, experiments on the model of a supersonic fighter and on a wheel-rail coupled system are performed respectively, in order to verify the validity of the proposed theories in this dissertation. The results show that unknown inputs as well as their locations can be identified feasibly by these developed methods.
This project is sponsored by the Aeronautics Prospective Research Fund of the National "Ninth Five-year Plan" of China.
本文首先对动载荷识别的模态模型法及其精度作了详细分析，提出了基于广义域模态模型的动载荷识别方法。以系统中的其他点作激励位置以代替常常为结构上不可达的实际载荷作用点，通过系统辨识得到系统的模态参数并在模态和物理两种坐标下对动态载荷作出估算，从而避免了通常需作的对系统结构的修改或改变边界条件而导致的识别误差。指出了重构冲击型载荷的技术关键和应该避免的问题。
在动载荷识别的模态模型法理论基础上，通过引入控制领域业已应用的空间滤波概念，提出利用离散模态滤波器的正交特性以分离出各阶模态对系统响应的独立贡献，构造的动载荷识别模型减少了算法实现的计算量。通过对离散模态滤波器的改进，避免了载荷重构阶段模态向量误差引起的载荷识别误差积累，从而实现了对经典载荷识别模态模型的校正。
鉴于时间一频率分析在信号处理多种场合下的种种成功应用，本文讨论了应用小波变换构造动载荷识别模型的可行性。利用小波变换作时域内的解卷积计算，分析了结构在冲击载荷作用下的弹性波的散射特性，结合非线性优化方法实现了载荷冲击位置的识别。本文还通过构造基于p-范数的模糊推理神经网络对高速铁路轮轨耦合系统作了辨识。
利用上述动载荷识别模型，本文分别对超音速歼击机模型和高速铁路轮轨耦合系统作了动载荷识别实验验证。结果表明，本文提出的方法能有效地进行未知激励下的动态载荷识别及作用位置识别，从而验证了本文理论的有效性。
本文研究工作获国家航空“九五”预研基金资助。
It is generally very difficult to measure excitation in operating environment in the case of the complexity of the structure or the variant forms of the excitations, sometimes it is even immeasurable for the impact location is usually inaccessible. Nevertheless, certain theories and techniques were developed for force identification or so-called force reconstruction. Aiming at the nonstationary characteristic of the dynamic loads and the relation between the responses and the frequency response functions, by use of the responses only, some novel theories are conducted to develop force identification and impact location approaches in this dissertation.
The modal-model-based method for force identification and the error propagation of the method are analyzed, and an approach is presented based on the modal model within a general domain. By exciting at the other sites of the structure rather than the actual input points which are usually inaccessible, the modal parameters of the system and the dynamic loads are estimated through computations under both modal and physical coordinates. The errors of identification caused by the usual modification of the structure or boundary conditions are consequently evitable. The kernel for the development of impact identification techniques and the means for error elimination are proposed.
On the basis of the modal model theory and the conception of spatial filtering which is derived from the field of control, a more precise force identification model is developed based on the discrete modal filter. The error accumulation caused by the errors of modal vectors is banished and an emendation to the classical modal model is conducted, due to the extraction of the independent contribution of each mode by means of the orthogonality of the modal filter. The computation size is reduced with the technique as well.
In the light of the applications of time-frequency analysis hi many cases of the signal processing, the possibility of constructing a force identification model by wavelet transfer is discussed. By means of the wavelet transformation the deconvolution is done in the time domain. The dispersive properties of the elastic wave within the impacts acted are analyzed, and with the nonlinear optimization method concerned the impact location is identified. On the other hand, by the p-norm based fuzzy inference neural network as proposed in this dissertation, a wheel-rail coupled nonlinear system identification is addressed.
Utilizing the force identification approaches above mentioned, experiments on the model of a supersonic fighter and on a wheel-rail coupled system are performed respectively, in order to verify the validity of the proposed theories in this dissertation. The results show that unknown inputs as well as their locations can be identified feasibly by these developed methods.
This project is sponsored by the Aeronautics Prospective Research Fund of the National "Ninth Five-year Plan" of China.
引文
1 曾义方，张彦仲编．信号处理名词术语集．北京：航空工业出版社，1992
2 鲍明．振动冲击与噪声测试技术．见：现代测量与控制技术词典．北京：中国标准出版社，1999．12
3 Gladwell G.M. L. Inverse problems in vibration.Martinus Nijhoff publishers,1986
4 Marchuk G.I. Methods of numerical mathematics,Springer,1975.
5 Stevens K.K.Force Identification Problems:an overview.Proc.1987 SEM Spring Conf.On Exp.Mech., pp838-844
6 胡海岩．机械振动与冲击．北京：航空工业出版社，1998
7 李方泽，刘馥清，王正．工程振动测试与分析．北京：高等教育出版社，1992
8 吴三灵．实用振动实验技术．北京：兵器工业出版社，1993
9 周传荣，赵淳生．机械振动参数识别及其应用．北京：科学出版社，1989
10 张成乾，张国强．系统辨识与参数估计．北京：机械工业出版社，1986
11 张令弥．振动测试与动态分析．北京：航空工业出版社，1992．11
12 傅志方．振动模态分析与参数辨识．北京：机械工业出版社，1990．9
13 傅志方，华宏星．模态分析理论与应用．上海：上海交通大学出版社，2000．7
14 管迪华．模态分析技术．北京：清华大学出版社，1996
15 杨景义，王信义．试验模态分析．北京：北京理工大学出版社，1990
16 方远乔，陈安宁．振动模态分析技术．北京：国防工业出版社，1993
17 Ville J.Theorie et applications de la notion de signal analytique.Cables et Transmission,1948,2A:pp61-74
18 Page C.H.Instantaneous power spectra.J. Appl.Phys.,1952,23:pp103-106
19 Yang Q.J., Zhang P.Q., Li C.Q.A System Theory Approach to Multi-Input Multi-Output Modal Parameters Identification Methods.Mechanical Systems and Signal Processing,1994,8(2), pp.159-174.
20 Cafeo J.A.,De Clerck J.P. An Assessment Function for Improving the Accuracy of Estimated Modal Parameters. Modal Analysis: the International Journal of Analytical and Experimental Modal Analysis,1995,10(4): pp.236-259.
21 Blaschke P.G., Ewins D.J.The MAC Revisited and Updated. Proceedings of the 15th SEM International Modal Analysis Conference,1997, pp.147-154.
22 Bartlett F.D., Flannelly W.D.Modal verification of force determination for measuring
vibration loads, Journal of the American Helicopter Society, 1979, pp10-18
23 Giansamte N., Jones R., Calapodas N.J. Determination of in-flight helicopter loads, Journal of the American Helicopter Society, 1982, pp58-64
24李万新，张景绘等．载荷确定方法及直升飞机六力素识别．航空工业部飞行试验 中心，1984
25 Hillary B., Ewins D.J. The use of strain gauges in force determination and frequency response fuction measurements, Proceedings of the 2nd International Modal Analysis Conference, 1984,pp627-634
26 Okubo N., Tanabe S., Tatsuno T. Identification of force generated by a machine under operating condition, Proceedings of the 3rd MAC, 1985, pp920-927
27 Starkey J.M., Merrill GL. On the ill-conditioned nature of indirect force measurement techniques, International Journal of Analytic and Experimental Modal Analysis, 1989, 4(3) ,pp103-108
28 Hollandsworth P.E., Busby H.R. Impact force identification using the general inverse technique, International Journal of Impact Engineering, 1989, 8( 4) : pp 315-322
29 Hansen M., Starkey J.M. On predicting and improving the condition of Modal-Model-based indirect force measurement algorithms, Proceedings of the 8th MAC, 1990, pp115-120
30 Karlsson S.E.S. Identification of external structural loads from measured harmonic responses, Journal of Sound and Vibration, 1996, 196(1) , pp59-74
31 Desanghere G, Snoeys R. Indirect identification of excitation forces by modal coordinate transformation, Proceedings of the 3rd IMAC, 1985, pp685-690
32 Ory H., Glaser H., Holzdeppe D. The reconstruction of forcing function based on aeroelasticity and structural dynamics, Proceedings of 2nd Int Symp. On Aeroelasticity and Structural Dynamics, Aschen, FRG, 1985． 4
33 Ory H., Glaser H., Holzdeppe D. Quality of modal analysis and reconstruction of forcing function based on measured output data, Proceedings of 4th IMAC, 1986, Pp350-357
34唐秀近．动态力识别的时域方法．大连工学院学报，1987，26(4) ：21-27
35唐秀近．时域识别动态载荷的精度问题．大连理工大学学报，1990，30(1) ：31-37
36时 战，许士斌，初良成，李桂华．利用脉冲响应函数识别载荷的时序法．振动 工程学报， 1995，8(3) ：235-242
37 da Silva L.A., Rade D.A. Tune domain-based identification of mechanical characteristics of supporting elements, Proceedings of the 17th International Modal
Analysis Conference-IMAC,1999,v2, pp1616-1621
38 Genaro G,Rade D.A.Input force identification in the time domain,Proceedings of the 16th International Modal Analysis Conference-IMAC 1998,1998 SEM v1 pp124-129
39 Kreitinger T.J.Non-parametric force identification from structural response.Soil Dynamics and Earthquake Engineering,1992,11(5): pp269-277
40 Law S.S.,Chan T.H.T,Zeng Q.H. Moving force identification:A time domain method,Journal of Sound and Vibration,1997,201(1): pp1-22
41 Law S.S.,Chan T.H.T,Zeng Q.H. Moving Force Identification-A Frequency and Time Domains Analysis.Journal of Vibration and Acoustics.Transactions of the ASME,1999,121:pp394-401
42 张方，朱德懋．基于广义正交域的一种动载荷时域识别方法研究．南京航空航天大学学报，1996，28(6)：755-760
43 张方，朱德懋．动态载荷时域识别的级数方法．振动工程学报，1996，9(1)：1-8
44 张方，朱德懋，张福祥．动载荷识别的时间有限元模型理论及其应用．振动与冲击，1998，17(2)：1-4
45 宋斌，郑效忠，魏星原．载荷识别的逆系统方法．三省振动学术交流会论文集．山东：长岛，1993．10：486-491
46 张贤达，保铮．非平稳信号分析与处理．北京：国防工业出版社，1998．9
47 杨福生．小波变换的工程分析与应用．北京：科学出版社，1999．2
48 徐佩霞，孙功宪．小波分析与应用实例．合肥：中国科学技术大学出版社，1996
49 彭玉华．小波变换与工程应用．北京：科学出版社，1999．9
50 李建平，小波分析与信号处理——理论、应用及软件实现，重庆：重庆出版社，1997．1-392
51 Gabor D.Theory of communication.J.IEE,1946,93:pp429-457
52 Meyer Y.Pseudodifferential operators.Proc.Symp.Pure Math.,1985,43:pp215-235
53 Meyer Y.Ondelettes et operateurs.Paris:Hermann Press.1990. pp1-200
54 Morlet J.,Arens G,Fourgeau E.,et al.Wave propagation and sampling theory.Geophysics,1982,47(2): pp222-236
55 Daubechies I.Orthonormal bases of compactly supported wavelets.Comm.on Pure and Appl.Math.,1988,41(7): pp909-996
56 Daubechies I.The wavelets transform, time-frequency localization and signal analysis.IEEE Trans.on Information Theory.1990, 36(5): pp961-1005
57 Mallat S.G A Theory for Multiresolution Signal Decomposition: The Wavelet
Reprentation. IEEE Trans. On Pattern Analysis and Machine Intelligence, 1989,11(7) : pp674-693
58 Mallat S.G Multiresolution Approximation and Wavelet Orthonormal Bases of L2(R). Transactions of the American Mathematical Society, 1989, 315(1) : pp68-87
59 Grossman A., Morlet J. Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape. SIAM J. Mth. Anal., 1984,15(4) : pp723-736
60 Jones D.L., Baraniuk R.G Efficient approximation of continuous wavelet transforms. Electronics Letters, 1991, 27(9) : pp748-750
61 Coifinan R.R., Wickerhauser M.V. Entropy-Based Algorithms for Best Basis Selection. IEEE Trans. On Information Theory, 1992, 38(2) : pp
62 Steffen P., Heller P.N., Ramesh A. et al. Theory of Regular M-Band Wavelet Basis. IEEE Trans. On Signal Processing, 1993,41(12) : pp3480-3496
63 Thierry Blu. Iterated Filter Banks with Rational Rate Changes Connection with Discrete Wavelet Transform. IEEE Trans, on Signal Processing, 1993,41(12) : pp3232-3244
64 Chui C.K. An introduction to wavelets. New York: Academic Press, 1992． pp1-200
65 Chui C.K. Wavelet: a tutorial theory and applications. New York: Academic Press, 1992． pp1-432
66 Vetterli M., Herley C. Wavelets and Filter Banks: Theory and Design. IEEE Trans, on Signal Processing, 1992,40(9) : pp2207-2232
67 Cohen A., Daubechies I. Biorthogonal Bases of Compactly Supported Wavelets. Communications on Pure and Applied Mathematics, 1992, XLV: pp485-560
68 Jones D.L., Baraniuk R.G Efficient approximation of continous wavelet transforms. Electronics Letters, 1991,27(9) : pp748-750
69 Inoue H., Kishimoto K., Shibuya T. Experimental wavelet analysis of flexural waves in beams, Experimental Mechanics, 1996,36(3) : pp212-217
70 Doyle J.F. A wavelet deconvolution method for impact force identification, Experimental Mechanics, 1997,37(4) , pp403-408
71 Johnson C.D. Identification of unknown, time-varying forces/moments in dynamics and vibration problems vising a new approach to deconvolution, Shock and Vibration, 1998, 5 (3) :pp 181-187
72 Baik S.H., Kim K.J. Transient operational deflection shape analysis via wavelet transform, Proceedings of 15th MAC, 1997, pp1844-1850
73 Gaul L., Hurlebaus S. Identification of the impact location on a plate using wavelets,
Mechanical Systems and Signal Processing, 1997,12(6) , pp783-795
74 Doyle J.F. A genetic algorithm for determing the location of structural impacts, Experimental Mechanics, 1994, 34(1) : pp37-43
75 Granger S., Perotin L. An inverse method for the identification of a distributed random excitation acting on a vibrating structure, Part 1: Theory, Mechanical Systems and Signal Processing, 1999,13(1) : pp53-65
76 Perotin L., Granger S. An inverse method for the identification of a distributed random excitation acting on a vibrating structure, Part 2: Flow-induced vibration application, Mechanical Systems and Signal Processing, 1999,13(1) : pp67-81
77 dos Santos, Marcelo A, Varoto Paulo. Identification of dynamic loads: A comparative analysis between time and frequency domain techniques, Proceedings of SPIE-The International Society for Optical Engineering, Society of Photo-Optical Instrumentation Engineers, 2000,I: pp 271-277
78 Kujath M.R, Liu K.F. On vibrations of a class of linear time-varying systems, Journal of Sound and Vibration, 1992,156(3) : pp 481-504
79 Meirovitch L., Baruh H. Control of self-adjoint distributed-parameter systems, Journal of Guidance, Control and Dynamics, 1982, 5(1) : pp60-66
80 Meirovitch L., Baruh H. The Implementation of modal filters for control of structures. Journal of Guidance, Control and Dynamics, 1985,8(6) : pp707-716
81 Zhang Q., Allemang R.J., Brown D.L. Modal Filter: Concept and Application, Proceedings of the 8th MAC, 1990, pp487-496
82 Wei J.C., Zhang Q.,Allemang R.J. Correlation of finite element models and experimental modal models based on reciprocal vectors. Proceedings of the 8th IMAC, 1990,
83 Shih C.Y, Zhang Q., Allemang R.J. Force identification by using principle and modal coordinate transformation method, American Society of Mechanical Engineers, Design Engineering Division(Publication), 18(4) : pp 303-309
84 Shelley S.J., Allemang R.J. Calculation of discrete modal filter using the modified reciprocal modal vector method. Proceedings of the 10th IMAC, 1992, pp37-45
85 Allemang R.J., Brown D.L., Fladung W. Modal parameter estimation: a unified matrix polynomial approach. Proceedings of the 12th IMAC, 1994, pp501-514
86 Shelley S.J., Pickrel C.R. New concepts for flight flutter parameter estimation, Proceedings of the 15th IMAC, 1997, pp490-496
87 Kim Y.R., Kim K.J. Indirect input identification by modal model technique,
Proceedings of the 15th IMAC,1997, pp1263-1269
88 刘福强．柔性智能桁架结构振动主动控制及相关问题研究．<博士学位论文>，南京航空航天大学，1999
89 Wornell G.Signal Processing with Fractals:A Wavelet-Based Approach,Prentice Hall PTR,1996, pp1-177
90 Shin K.,Hammond J.K. Force-state mapping method of a chaotic dynamical system,Journal of Sound and Vibration, 1998, 218(3): pp405-418
91 Liang Y.-C.,Zhou C.-G, Wang Z.-S.Identification of restoring forces in non-linear vibration systems based on neural networks,Journal of Sound and Vibration,1997,206(1): pp103-108
92 Omkar S.N., Nagabhushanam J. Neural network controller for minimizing hub shear forces in helicopter,IEEE Proceedings of the International Symposium on Intelligent Control,1998, pp354-358
93 John C.,Tse M.-K. Impact force identification using extracted modal parameters and pattern matching Briggs,International Journal of Impact Engineering,1992,12(3): pp361-372
94 Varoto P.S., McConnell K.G. On the identification of interface forces and motions in coupled structures, Proceedings of the 17th International Modal Analysis Conference,1999, v2, pp2031-2035
95 Zhao Y.,Pang S.S.,Griffin S.A.Force-identification study of composite materials using a conical-tip indenter,American Society of Mechanical Engineers, Petroleum Division (Publication), 1991, 37: pp117-123
96 Wu, E., Yeh, J.C., Yen, C.S. Identification of impact forces at multiple locations on laminated plates, AIAA Journal, 1994, 32:pp2433-2439
97 Doyle J.F. Determining the contact force during the transverse impact of plates.Experimental Mechanics,1987,27(1): pp68-72
98 Doyle J.F. Experimentally Determining the Contact Force During the Transverse impact of Orthotropic Plates.J. Sound & Vib.,1987, pp441-448
99 汪根杰．从响应信号中提取模态参数方法的研究．<硕士学位论文>，南京航空航天大学，1998
100 郑敏．工作状态下的模态测试方法研究．<博士学位论文>，南京航空航天大学，2000
101 王荣辉，郭向荣，曾庆元．车桥振动系统中的车辆分析模型．振动与冲击，1997，16(3)：18-25
102 何万龙，任伟新，吴建基．柔性梁上高速移动质量动力响应分析．振动与冲击．1998，17(1)：67-72
103 孙璐，邓学钧．移动的车辆随机荷载作用下梁桥的瞬态响应．振动与冲击．1997，16(1)：62-68
104 王庆波，汪胜，许克宾，夏禾．高速铁路连续梁桥支力响应分析．北方交通大学学报，1997，21(4)：399-404
105 Lindner D.K.,Twitty C.& Goff R. Damage Detection, Location and Estimation for Large Space Structure. Proc. AIAA-93-1486-CP, pp1539-1548
106 Gopalakrishnan S., Matin M., Doyle J.F. A Matrix Methodology for Spectral Analysis of Wave Propagation in Multiple Connected Timoshenko Beams.J.Sound & Vib.,1992, pp11-24
107 Doyle J. F. An Experimental Method for Deterning the Location and Time of Initiation of an Unknown Dispersing Pulse.Experimental Mechanics,1987, 27(3): pp229-233
108 Doyle J.F. Determining the size and location of transverse cracks in beams,Experimental Mechanics, 1995, 35(3): pp272-280
109 Whiston G.S.Remote Impact Analysis by Use of Propagated Acceleration Signals,I:Theoretical Method. J. Sound & Vib.,1984, 97(1): pp35-51
110 Whiston G.S. Remote Impact Analysis by Use of Propagated Acceleration Signals, Ⅱ:Comparison between Theory and Experiment. J. Sound & Vib., 1984, 97(1): pp53-63
111 郝瀛．铁道工程．北京：中国铁道出版社，2000
112 宝音贺喜格，黄文虎，姜兴渭．神经网络在轨道动力学中的应用．振动与冲击．1999，18(3)：67-70
113 许锋，鲍明，苏向辉，刘俊标．ρ-范数模糊推理神经网络及其在滚动轴承诊断中的应用．振动工程学报2001：14(1)：19-22
114 Sugeno M., Takagi T. Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. on SMC, 1985;15(1):116～132
115 袁向荣，陈思利，杨绍普．由梁的响应识别移动荷载．振动、测试与诊断．1995，15(3)：30-42
116 袁向荣，陈思利，杨绍普．由正交异性板的响应识别移动荷载．振动、测试与诊断．1998，18(3)：201-205
117 沈全锋，李桂华，綦宝晖等．吊车动态载荷识别研究．振动与冲击．1997，16(3)：55-60
118 Koss L.L., He Y.Y., Wang X. Bridge and Beam Response to Harmonic Spatial and Time Loads.Proceedings of the 15th International Modal Analysis Conference,1997,pp901-904
119 Lamonaca B.G., Valente C.,Brancaleoni F.Crack Identification in Nonlinear Vibrating Beam. Proceedings of the 15th International Modal Analysis Conference,1997 pp1808-1814
120 Chou K.C.,Guthart G.S. Representation of Green's Function Integral Operators Using Wavelet Transforms.Journal of Vibration and Control,6:pp19-48
121 Zheng G.T., McFadden P.D. A Time-Frequency Distribution for Analysis of Signals with Transient Components and Its Application to Vibration Analysis.Journal of Vibration and Acoustics. Transactions of the ASME,1999,121:pp328-333
122 Newland D.E.Ridge and Phase Identification in the Frequency Analysis of Transient Signals by Harmonic Wavelets.Journal of Vibration and Acoustics.Transactions of the ASME,1999,121:pp.149-155
123 Pesterer A.V.,Bergman L.A. A Contribution to the Moving Mass Problem.Journal of Vibration and Acoustics.Transactions of the ASME,1998,120:pp.824-826
124 郑海起，张一星，栾军英．冲击载荷识别中的相干修正．振动与冲击，1998，17(1)：34-37
125 姜涛，孙守光，李强等．车轮扁疤引起的车轴附加载荷的仿真研究．北方交通大学学报，1998，22(4)：61-65
126 李成辉，万复光．轨道结构随机振动．铁道学报．1998，20(3)：98-101
127 胡用生，陆正刚，张辉．高速列车与轨道垂向动力耦合仿真模型的开发．铁道学报，1997，19(增刊)：15-21
128 谭复兴．轨道结构与车辆垂向耦合振动模型及轨道试验研究．铁道学报，1997，19(增刊)：115-121
129 李德建，曾庆元．列车—直线轨道空间耦合时变系统振动分析．铁道学报，1997，19(1)：101-107
130 梁波，蔡英，朱东生．车—路垂向耦合系统的动力分析．铁道学报，2000，22(5)：65-71
131 翟婉明．高速列车—轨道垂向耦合动力学的研究．铁道学报，1997，19(4)：16-21
132 Rao Z.,Shi Q.,Hagiwara I.Optimal Estimation of Dynamic Loads for Multiple-Input System.Journal of Vibration and Acoustics.Transactions of the ASME,1999,121(2):pp.397-401
133 Wu E.,Tsai T.D.,Yen C.S.Two Methods for Determining Impact-force History on Elastic Plates.Experimental Mechanics,1995, 35(1): pp.11-48
134 Fladung B.Windows Used for Impact Testing.Proceedings of the 15th International Modal Analysis Conference,1997, pp1662-1666
135 Van Karsen C.D.,Little E.F.The Strengths of Impact Testing. Proceedings of the 15th International Modal Analysis Conference,1997, pp1667-1671
136 Shin E.S. Real-time recovery of impact force based on finite element analysis.Computers and Structures, 2000,76:pp621-635
137 McConnell K.G.From Field Vibration Data to Laboratory Simulation.Experimental Mechanics,1994, 34(3): pp.181-193
138 Angrisani L.,Daponte P., D'Apuzzo M. A method for the automatic detection and measurement of transients,Part Ⅰ: the measurement method.Measurement, 1999,25:pp19-30
139 Angrisani L.,Daponte P., D'Apuzzo M.A method for the automatic detection and measurement of transients.Part Ⅱ: applications.Measurement,1999,25:pp31-40
140 Granger S.,Perotin L. An Inverse Method for the Identification of a Distributed Random Excitation Acting on a Vibrating Structure, Part 1:Theory. Mechanical Systems and Signal Processing,1999,13(1): pp53-65
141 Perotin L.,Granger S. An Inverse Method for the Identification of a Distributed Random Excitation Acting on a Vibrating Structure, Part 2:Flow-Induced Vibration Application. Mechanical Systems and Signal Processing, 1999,13(1): pp67-81
142 Newton S.G., Clark R.A. An Investigation into the Dynamic Effects on the Track of Wheelflats on Railway Vehicles. Proc. of the Institution of Mechanical Engineers,1979,2(4): pp287-297
143 刘继，冯铭．车轮踏面擦伤在线自动检测方法的研究和试验．铁道车辆，1995，33(2)：28-31
144 黄耀志．铁道车辆平轮在线监测技术初探．振动、测试与诊断，1997，17(1)：43-49
145 姜涛，孙守光，缪龙秀等．车轮扁疤动力冲击的仿真研究及其检测原理．铁道车辆，1998，36(5)：25-26
146 翟婉明．铁路轮轨冲击振动模拟与试验．计算力学学报，1999，16(1)：93-99
147 冯铭，潘建壮．广深线准高速客车的垂向抗冲击性能研究．铁道车辆，1995，33(12)：153-155
148 Bathe K.J.,Wilson E.L.Numerical Methods in Finite Element Analysis.Prentice-Hall,Inc.,1976
149 王国强．实用工程数值模拟技术及其在ANSYS上的实践．西安：西北工业大学出版社，1999
150 李衍达，常迥．信号重构理论及其应用．北京：清华大学出版社，1991．7
151 邹谋炎．反卷积和信号复原．北京：国防工业出版社．2001．3
152 施阳，李俊等．MATLAB语言工具箱——TOOLBOX实用指南．西安：西北业大学出版社，1998，100-123
153 张志勇，刘瑞桢，杨祖樱．掌握和精通MATLAB．北京航空航天大学出版社．1997．
154 Vinay K.Ingle.& John G.Proakis.数字信号处理及其MATLAB实现．电子工业出版社．1998．
155 陈桂明，张明照，戚红雨．应用MATLAB语言处理数字信号与数字图像．北京：科学出版社．2000．1
156 清源计算机工作室．MATLAB高级应用．北京：机械工业出版社，2000
157 张贤达．信号处理中的线性代数．北京：科学出版社，1997．7
158 谢和平，薛秀谦．分形应用中的数学基础与方法．北京：科学出版社，1997
159 汪富泉，李后强．分形几何与动力系统．哈尔滨：黑龙江教育出版社，1993
160 敖力布．分形与声振动．见：辛厚文．分形理论及其应用，合肥：中国科学技术大学出版社，1993；146-148
161 陈衍仪．图像压缩的分形理论和方法．北京：国防工业出版社，1997．10
162 安世全，孙佑民．线性算子的谱分析．北京：科学出版社，1995
163 张韵华，奚梅成，陈长松．数值计算方法和算法．北京：科学出版社，2000．1
2 鲍明．振动冲击与噪声测试技术．见：现代测量与控制技术词典．北京：中国标准出版社，1999．12
3 Gladwell G.M. L. Inverse problems in vibration.Martinus Nijhoff publishers,1986
4 Marchuk G.I. Methods of numerical mathematics,Springer,1975.
5 Stevens K.K.Force Identification Problems:an overview.Proc.1987 SEM Spring Conf.On Exp.Mech., pp838-844
6 胡海岩．机械振动与冲击．北京：航空工业出版社，1998
7 李方泽，刘馥清，王正．工程振动测试与分析．北京：高等教育出版社，1992
8 吴三灵．实用振动实验技术．北京：兵器工业出版社，1993
9 周传荣，赵淳生．机械振动参数识别及其应用．北京：科学出版社，1989
10 张成乾，张国强．系统辨识与参数估计．北京：机械工业出版社，1986
11 张令弥．振动测试与动态分析．北京：航空工业出版社，1992．11
12 傅志方．振动模态分析与参数辨识．北京：机械工业出版社，1990．9
13 傅志方，华宏星．模态分析理论与应用．上海：上海交通大学出版社，2000．7
14 管迪华．模态分析技术．北京：清华大学出版社，1996
15 杨景义，王信义．试验模态分析．北京：北京理工大学出版社，1990
16 方远乔，陈安宁．振动模态分析技术．北京：国防工业出版社，1993
17 Ville J.Theorie et applications de la notion de signal analytique.Cables et Transmission,1948,2A:pp61-74
18 Page C.H.Instantaneous power spectra.J. Appl.Phys.,1952,23:pp103-106
19 Yang Q.J., Zhang P.Q., Li C.Q.A System Theory Approach to Multi-Input Multi-Output Modal Parameters Identification Methods.Mechanical Systems and Signal Processing,1994,8(2), pp.159-174.
20 Cafeo J.A.,De Clerck J.P. An Assessment Function for Improving the Accuracy of Estimated Modal Parameters. Modal Analysis: the International Journal of Analytical and Experimental Modal Analysis,1995,10(4): pp.236-259.
21 Blaschke P.G., Ewins D.J.The MAC Revisited and Updated. Proceedings of the 15th SEM International Modal Analysis Conference,1997, pp.147-154.
22 Bartlett F.D., Flannelly W.D.Modal verification of force determination for measuring
vibration loads, Journal of the American Helicopter Society, 1979, pp10-18
23 Giansamte N., Jones R., Calapodas N.J. Determination of in-flight helicopter loads, Journal of the American Helicopter Society, 1982, pp58-64
24李万新，张景绘等．载荷确定方法及直升飞机六力素识别．航空工业部飞行试验 中心，1984
25 Hillary B., Ewins D.J. The use of strain gauges in force determination and frequency response fuction measurements, Proceedings of the 2nd International Modal Analysis Conference, 1984,pp627-634
26 Okubo N., Tanabe S., Tatsuno T. Identification of force generated by a machine under operating condition, Proceedings of the 3rd MAC, 1985, pp920-927
27 Starkey J.M., Merrill GL. On the ill-conditioned nature of indirect force measurement techniques, International Journal of Analytic and Experimental Modal Analysis, 1989, 4(3) ,pp103-108
28 Hollandsworth P.E., Busby H.R. Impact force identification using the general inverse technique, International Journal of Impact Engineering, 1989, 8( 4) : pp 315-322
29 Hansen M., Starkey J.M. On predicting and improving the condition of Modal-Model-based indirect force measurement algorithms, Proceedings of the 8th MAC, 1990, pp115-120
30 Karlsson S.E.S. Identification of external structural loads from measured harmonic responses, Journal of Sound and Vibration, 1996, 196(1) , pp59-74
31 Desanghere G, Snoeys R. Indirect identification of excitation forces by modal coordinate transformation, Proceedings of the 3rd IMAC, 1985, pp685-690
32 Ory H., Glaser H., Holzdeppe D. The reconstruction of forcing function based on aeroelasticity and structural dynamics, Proceedings of 2nd Int Symp. On Aeroelasticity and Structural Dynamics, Aschen, FRG, 1985． 4
33 Ory H., Glaser H., Holzdeppe D. Quality of modal analysis and reconstruction of forcing function based on measured output data, Proceedings of 4th IMAC, 1986, Pp350-357
34唐秀近．动态力识别的时域方法．大连工学院学报，1987，26(4) ：21-27
35唐秀近．时域识别动态载荷的精度问题．大连理工大学学报，1990，30(1) ：31-37
36时 战，许士斌，初良成，李桂华．利用脉冲响应函数识别载荷的时序法．振动 工程学报， 1995，8(3) ：235-242
37 da Silva L.A., Rade D.A. Tune domain-based identification of mechanical characteristics of supporting elements, Proceedings of the 17th International Modal
Analysis Conference-IMAC,1999,v2, pp1616-1621
38 Genaro G,Rade D.A.Input force identification in the time domain,Proceedings of the 16th International Modal Analysis Conference-IMAC 1998,1998 SEM v1 pp124-129
39 Kreitinger T.J.Non-parametric force identification from structural response.Soil Dynamics and Earthquake Engineering,1992,11(5): pp269-277
40 Law S.S.,Chan T.H.T,Zeng Q.H. Moving force identification:A time domain method,Journal of Sound and Vibration,1997,201(1): pp1-22
41 Law S.S.,Chan T.H.T,Zeng Q.H. Moving Force Identification-A Frequency and Time Domains Analysis.Journal of Vibration and Acoustics.Transactions of the ASME,1999,121:pp394-401
42 张方，朱德懋．基于广义正交域的一种动载荷时域识别方法研究．南京航空航天大学学报，1996，28(6)：755-760
43 张方，朱德懋．动态载荷时域识别的级数方法．振动工程学报，1996，9(1)：1-8
44 张方，朱德懋，张福祥．动载荷识别的时间有限元模型理论及其应用．振动与冲击，1998，17(2)：1-4
45 宋斌，郑效忠，魏星原．载荷识别的逆系统方法．三省振动学术交流会论文集．山东：长岛，1993．10：486-491
46 张贤达，保铮．非平稳信号分析与处理．北京：国防工业出版社，1998．9
47 杨福生．小波变换的工程分析与应用．北京：科学出版社，1999．2
48 徐佩霞，孙功宪．小波分析与应用实例．合肥：中国科学技术大学出版社，1996
49 彭玉华．小波变换与工程应用．北京：科学出版社，1999．9
50 李建平，小波分析与信号处理——理论、应用及软件实现，重庆：重庆出版社，1997．1-392
51 Gabor D.Theory of communication.J.IEE,1946,93:pp429-457
52 Meyer Y.Pseudodifferential operators.Proc.Symp.Pure Math.,1985,43:pp215-235
53 Meyer Y.Ondelettes et operateurs.Paris:Hermann Press.1990. pp1-200
54 Morlet J.,Arens G,Fourgeau E.,et al.Wave propagation and sampling theory.Geophysics,1982,47(2): pp222-236
55 Daubechies I.Orthonormal bases of compactly supported wavelets.Comm.on Pure and Appl.Math.,1988,41(7): pp909-996
56 Daubechies I.The wavelets transform, time-frequency localization and signal analysis.IEEE Trans.on Information Theory.1990, 36(5): pp961-1005
57 Mallat S.G A Theory for Multiresolution Signal Decomposition: The Wavelet
Reprentation. IEEE Trans. On Pattern Analysis and Machine Intelligence, 1989,11(7) : pp674-693
58 Mallat S.G Multiresolution Approximation and Wavelet Orthonormal Bases of L2(R). Transactions of the American Mathematical Society, 1989, 315(1) : pp68-87
59 Grossman A., Morlet J. Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape. SIAM J. Mth. Anal., 1984,15(4) : pp723-736
60 Jones D.L., Baraniuk R.G Efficient approximation of continuous wavelet transforms. Electronics Letters, 1991, 27(9) : pp748-750
61 Coifinan R.R., Wickerhauser M.V. Entropy-Based Algorithms for Best Basis Selection. IEEE Trans. On Information Theory, 1992, 38(2) : pp
62 Steffen P., Heller P.N., Ramesh A. et al. Theory of Regular M-Band Wavelet Basis. IEEE Trans. On Signal Processing, 1993,41(12) : pp3480-3496
63 Thierry Blu. Iterated Filter Banks with Rational Rate Changes Connection with Discrete Wavelet Transform. IEEE Trans, on Signal Processing, 1993,41(12) : pp3232-3244
64 Chui C.K. An introduction to wavelets. New York: Academic Press, 1992． pp1-200
65 Chui C.K. Wavelet: a tutorial theory and applications. New York: Academic Press, 1992． pp1-432
66 Vetterli M., Herley C. Wavelets and Filter Banks: Theory and Design. IEEE Trans, on Signal Processing, 1992,40(9) : pp2207-2232
67 Cohen A., Daubechies I. Biorthogonal Bases of Compactly Supported Wavelets. Communications on Pure and Applied Mathematics, 1992, XLV: pp485-560
68 Jones D.L., Baraniuk R.G Efficient approximation of continous wavelet transforms. Electronics Letters, 1991,27(9) : pp748-750
69 Inoue H., Kishimoto K., Shibuya T. Experimental wavelet analysis of flexural waves in beams, Experimental Mechanics, 1996,36(3) : pp212-217
70 Doyle J.F. A wavelet deconvolution method for impact force identification, Experimental Mechanics, 1997,37(4) , pp403-408
71 Johnson C.D. Identification of unknown, time-varying forces/moments in dynamics and vibration problems vising a new approach to deconvolution, Shock and Vibration, 1998, 5 (3) :pp 181-187
72 Baik S.H., Kim K.J. Transient operational deflection shape analysis via wavelet transform, Proceedings of 15th MAC, 1997, pp1844-1850
73 Gaul L., Hurlebaus S. Identification of the impact location on a plate using wavelets,
Mechanical Systems and Signal Processing, 1997,12(6) , pp783-795
74 Doyle J.F. A genetic algorithm for determing the location of structural impacts, Experimental Mechanics, 1994, 34(1) : pp37-43
75 Granger S., Perotin L. An inverse method for the identification of a distributed random excitation acting on a vibrating structure, Part 1: Theory, Mechanical Systems and Signal Processing, 1999,13(1) : pp53-65
76 Perotin L., Granger S. An inverse method for the identification of a distributed random excitation acting on a vibrating structure, Part 2: Flow-induced vibration application, Mechanical Systems and Signal Processing, 1999,13(1) : pp67-81
77 dos Santos, Marcelo A, Varoto Paulo. Identification of dynamic loads: A comparative analysis between time and frequency domain techniques, Proceedings of SPIE-The International Society for Optical Engineering, Society of Photo-Optical Instrumentation Engineers, 2000,I: pp 271-277
78 Kujath M.R, Liu K.F. On vibrations of a class of linear time-varying systems, Journal of Sound and Vibration, 1992,156(3) : pp 481-504
79 Meirovitch L., Baruh H. Control of self-adjoint distributed-parameter systems, Journal of Guidance, Control and Dynamics, 1982, 5(1) : pp60-66
80 Meirovitch L., Baruh H. The Implementation of modal filters for control of structures. Journal of Guidance, Control and Dynamics, 1985,8(6) : pp707-716
81 Zhang Q., Allemang R.J., Brown D.L. Modal Filter: Concept and Application, Proceedings of the 8th MAC, 1990, pp487-496
82 Wei J.C., Zhang Q.,Allemang R.J. Correlation of finite element models and experimental modal models based on reciprocal vectors. Proceedings of the 8th IMAC, 1990,
83 Shih C.Y, Zhang Q., Allemang R.J. Force identification by using principle and modal coordinate transformation method, American Society of Mechanical Engineers, Design Engineering Division(Publication), 18(4) : pp 303-309
84 Shelley S.J., Allemang R.J. Calculation of discrete modal filter using the modified reciprocal modal vector method. Proceedings of the 10th IMAC, 1992, pp37-45
85 Allemang R.J., Brown D.L., Fladung W. Modal parameter estimation: a unified matrix polynomial approach. Proceedings of the 12th IMAC, 1994, pp501-514
86 Shelley S.J., Pickrel C.R. New concepts for flight flutter parameter estimation, Proceedings of the 15th IMAC, 1997, pp490-496
87 Kim Y.R., Kim K.J. Indirect input identification by modal model technique,
Proceedings of the 15th IMAC,1997, pp1263-1269
88 刘福强．柔性智能桁架结构振动主动控制及相关问题研究．<博士学位论文>，南京航空航天大学，1999
89 Wornell G.Signal Processing with Fractals:A Wavelet-Based Approach,Prentice Hall PTR,1996, pp1-177
90 Shin K.,Hammond J.K. Force-state mapping method of a chaotic dynamical system,Journal of Sound and Vibration, 1998, 218(3): pp405-418
91 Liang Y.-C.,Zhou C.-G, Wang Z.-S.Identification of restoring forces in non-linear vibration systems based on neural networks,Journal of Sound and Vibration,1997,206(1): pp103-108
92 Omkar S.N., Nagabhushanam J. Neural network controller for minimizing hub shear forces in helicopter,IEEE Proceedings of the International Symposium on Intelligent Control,1998, pp354-358
93 John C.,Tse M.-K. Impact force identification using extracted modal parameters and pattern matching Briggs,International Journal of Impact Engineering,1992,12(3): pp361-372
94 Varoto P.S., McConnell K.G. On the identification of interface forces and motions in coupled structures, Proceedings of the 17th International Modal Analysis Conference,1999, v2, pp2031-2035
95 Zhao Y.,Pang S.S.,Griffin S.A.Force-identification study of composite materials using a conical-tip indenter,American Society of Mechanical Engineers, Petroleum Division (Publication), 1991, 37: pp117-123
96 Wu, E., Yeh, J.C., Yen, C.S. Identification of impact forces at multiple locations on laminated plates, AIAA Journal, 1994, 32:pp2433-2439
97 Doyle J.F. Determining the contact force during the transverse impact of plates.Experimental Mechanics,1987,27(1): pp68-72
98 Doyle J.F. Experimentally Determining the Contact Force During the Transverse impact of Orthotropic Plates.J. Sound & Vib.,1987, pp441-448
99 汪根杰．从响应信号中提取模态参数方法的研究．<硕士学位论文>，南京航空航天大学，1998
100 郑敏．工作状态下的模态测试方法研究．<博士学位论文>，南京航空航天大学，2000
101 王荣辉，郭向荣，曾庆元．车桥振动系统中的车辆分析模型．振动与冲击，1997，16(3)：18-25
102 何万龙，任伟新，吴建基．柔性梁上高速移动质量动力响应分析．振动与冲击．1998，17(1)：67-72
103 孙璐，邓学钧．移动的车辆随机荷载作用下梁桥的瞬态响应．振动与冲击．1997，16(1)：62-68
104 王庆波，汪胜，许克宾，夏禾．高速铁路连续梁桥支力响应分析．北方交通大学学报，1997，21(4)：399-404
105 Lindner D.K.,Twitty C.& Goff R. Damage Detection, Location and Estimation for Large Space Structure. Proc. AIAA-93-1486-CP, pp1539-1548
106 Gopalakrishnan S., Matin M., Doyle J.F. A Matrix Methodology for Spectral Analysis of Wave Propagation in Multiple Connected Timoshenko Beams.J.Sound & Vib.,1992, pp11-24
107 Doyle J. F. An Experimental Method for Deterning the Location and Time of Initiation of an Unknown Dispersing Pulse.Experimental Mechanics,1987, 27(3): pp229-233
108 Doyle J.F. Determining the size and location of transverse cracks in beams,Experimental Mechanics, 1995, 35(3): pp272-280
109 Whiston G.S.Remote Impact Analysis by Use of Propagated Acceleration Signals,I:Theoretical Method. J. Sound & Vib.,1984, 97(1): pp35-51
110 Whiston G.S. Remote Impact Analysis by Use of Propagated Acceleration Signals, Ⅱ:Comparison between Theory and Experiment. J. Sound & Vib., 1984, 97(1): pp53-63
111 郝瀛．铁道工程．北京：中国铁道出版社，2000
112 宝音贺喜格，黄文虎，姜兴渭．神经网络在轨道动力学中的应用．振动与冲击．1999，18(3)：67-70
113 许锋，鲍明，苏向辉，刘俊标．ρ-范数模糊推理神经网络及其在滚动轴承诊断中的应用．振动工程学报2001：14(1)：19-22
114 Sugeno M., Takagi T. Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. on SMC, 1985;15(1):116～132
115 袁向荣，陈思利，杨绍普．由梁的响应识别移动荷载．振动、测试与诊断．1995，15(3)：30-42
116 袁向荣，陈思利，杨绍普．由正交异性板的响应识别移动荷载．振动、测试与诊断．1998，18(3)：201-205
117 沈全锋，李桂华，綦宝晖等．吊车动态载荷识别研究．振动与冲击．1997，16(3)：55-60
118 Koss L.L., He Y.Y., Wang X. Bridge and Beam Response to Harmonic Spatial and Time Loads.Proceedings of the 15th International Modal Analysis Conference,1997,pp901-904
119 Lamonaca B.G., Valente C.,Brancaleoni F.Crack Identification in Nonlinear Vibrating Beam. Proceedings of the 15th International Modal Analysis Conference,1997 pp1808-1814
120 Chou K.C.,Guthart G.S. Representation of Green's Function Integral Operators Using Wavelet Transforms.Journal of Vibration and Control,6:pp19-48
121 Zheng G.T., McFadden P.D. A Time-Frequency Distribution for Analysis of Signals with Transient Components and Its Application to Vibration Analysis.Journal of Vibration and Acoustics. Transactions of the ASME,1999,121:pp328-333
122 Newland D.E.Ridge and Phase Identification in the Frequency Analysis of Transient Signals by Harmonic Wavelets.Journal of Vibration and Acoustics.Transactions of the ASME,1999,121:pp.149-155
123 Pesterer A.V.,Bergman L.A. A Contribution to the Moving Mass Problem.Journal of Vibration and Acoustics.Transactions of the ASME,1998,120:pp.824-826
124 郑海起，张一星，栾军英．冲击载荷识别中的相干修正．振动与冲击，1998，17(1)：34-37
125 姜涛，孙守光，李强等．车轮扁疤引起的车轴附加载荷的仿真研究．北方交通大学学报，1998，22(4)：61-65
126 李成辉，万复光．轨道结构随机振动．铁道学报．1998，20(3)：98-101
127 胡用生，陆正刚，张辉．高速列车与轨道垂向动力耦合仿真模型的开发．铁道学报，1997，19(增刊)：15-21
128 谭复兴．轨道结构与车辆垂向耦合振动模型及轨道试验研究．铁道学报，1997，19(增刊)：115-121
129 李德建，曾庆元．列车—直线轨道空间耦合时变系统振动分析．铁道学报，1997，19(1)：101-107
130 梁波，蔡英，朱东生．车—路垂向耦合系统的动力分析．铁道学报，2000，22(5)：65-71
131 翟婉明．高速列车—轨道垂向耦合动力学的研究．铁道学报，1997，19(4)：16-21
132 Rao Z.,Shi Q.,Hagiwara I.Optimal Estimation of Dynamic Loads for Multiple-Input System.Journal of Vibration and Acoustics.Transactions of the ASME,1999,121(2):pp.397-401
133 Wu E.,Tsai T.D.,Yen C.S.Two Methods for Determining Impact-force History on Elastic Plates.Experimental Mechanics,1995, 35(1): pp.11-48
134 Fladung B.Windows Used for Impact Testing.Proceedings of the 15th International Modal Analysis Conference,1997, pp1662-1666
135 Van Karsen C.D.,Little E.F.The Strengths of Impact Testing. Proceedings of the 15th International Modal Analysis Conference,1997, pp1667-1671
136 Shin E.S. Real-time recovery of impact force based on finite element analysis.Computers and Structures, 2000,76:pp621-635
137 McConnell K.G.From Field Vibration Data to Laboratory Simulation.Experimental Mechanics,1994, 34(3): pp.181-193
138 Angrisani L.,Daponte P., D'Apuzzo M. A method for the automatic detection and measurement of transients,Part Ⅰ: the measurement method.Measurement, 1999,25:pp19-30
139 Angrisani L.,Daponte P., D'Apuzzo M.A method for the automatic detection and measurement of transients.Part Ⅱ: applications.Measurement,1999,25:pp31-40
140 Granger S.,Perotin L. An Inverse Method for the Identification of a Distributed Random Excitation Acting on a Vibrating Structure, Part 1:Theory. Mechanical Systems and Signal Processing,1999,13(1): pp53-65
141 Perotin L.,Granger S. An Inverse Method for the Identification of a Distributed Random Excitation Acting on a Vibrating Structure, Part 2:Flow-Induced Vibration Application. Mechanical Systems and Signal Processing, 1999,13(1): pp67-81
142 Newton S.G., Clark R.A. An Investigation into the Dynamic Effects on the Track of Wheelflats on Railway Vehicles. Proc. of the Institution of Mechanical Engineers,1979,2(4): pp287-297
143 刘继，冯铭．车轮踏面擦伤在线自动检测方法的研究和试验．铁道车辆，1995，33(2)：28-31
144 黄耀志．铁道车辆平轮在线监测技术初探．振动、测试与诊断，1997，17(1)：43-49
145 姜涛，孙守光，缪龙秀等．车轮扁疤动力冲击的仿真研究及其检测原理．铁道车辆，1998，36(5)：25-26
146 翟婉明．铁路轮轨冲击振动模拟与试验．计算力学学报，1999，16(1)：93-99
147 冯铭，潘建壮．广深线准高速客车的垂向抗冲击性能研究．铁道车辆，1995，33(12)：153-155
148 Bathe K.J.,Wilson E.L.Numerical Methods in Finite Element Analysis.Prentice-Hall,Inc.,1976
149 王国强．实用工程数值模拟技术及其在ANSYS上的实践．西安：西北工业大学出版社，1999
150 李衍达，常迥．信号重构理论及其应用．北京：清华大学出版社，1991．7
151 邹谋炎．反卷积和信号复原．北京：国防工业出版社．2001．3
152 施阳，李俊等．MATLAB语言工具箱——TOOLBOX实用指南．西安：西北业大学出版社，1998，100-123
153 张志勇，刘瑞桢，杨祖樱．掌握和精通MATLAB．北京航空航天大学出版社．1997．
154 Vinay K.Ingle.& John G.Proakis.数字信号处理及其MATLAB实现．电子工业出版社．1998．
155 陈桂明，张明照，戚红雨．应用MATLAB语言处理数字信号与数字图像．北京：科学出版社．2000．1
156 清源计算机工作室．MATLAB高级应用．北京：机械工业出版社，2000
157 张贤达．信号处理中的线性代数．北京：科学出版社，1997．7
158 谢和平，薛秀谦．分形应用中的数学基础与方法．北京：科学出版社，1997
159 汪富泉，李后强．分形几何与动力系统．哈尔滨：黑龙江教育出版社，1993
160 敖力布．分形与声振动．见：辛厚文．分形理论及其应用，合肥：中国科学技术大学出版社，1993；146-148
161 陈衍仪．图像压缩的分形理论和方法．北京：国防工业出版社，1997．10
162 安世全，孙佑民．线性算子的谱分析．北京：科学出版社，1995
163 张韵华，奚梅成，陈长松．数值计算方法和算法．北京：科学出版社，2000．1