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標題: 複移動荷重之連續樑振動分析
Vibration analysis of the continuous beam with the multi-moving-loads
作者: 顏千智
Yan, Qian-Zhi
關鍵字: ladder track;梯型軌道;continuous beam;multi-moving-loads;acceleration;連續樑;複移動荷重;加速度
出版社: 應用數學系所
引用: [1] Fryba, L., “Vibration of solids and structures under moving loads”, Noordhoff International, Groningen, Netherlands, 1977. [2] Kenney, J.T., “Steady state vibrations of beam on elastic foundation for moving loads”, J. Appl. Mech. ASME 21 (4), 359-364 (1954). [3] Achenbach, J.D., Sun, C., “Dynamic response of beam on viscoelastic subgrade”, J. Engng. Mech. ASCE 91,61 (1965). [4] Florence, A.L., “Traveling force on a Timoshenko beam”, J. Appl. Mech. ASME 32 (2), 351-358 (1965). [5] Steele, C.R., “The finite beam with a moving load”, J. Appl. Mech. ASME 34 (1), 111 (1967). [6] Mead D.J., “Vibration response and wave propagation in periodic structures”, J. Eng. Ind. T. ASME, Ser. B 93, 783-792 (1971). [7] Jezequel L., “Analysis of critical speeds of a moving load on an infinite periodically supported beam”, J. Sound Vib. 73 (4), 606-610 (1980). [8] Bogacz R., Krzyzynski T., Popp K., “On dynamics of systems modeling continuous and periodic guideways”, Arch. Appl. Mech. 45 (5), 575-593 (1993). [9] Willis, R., “Appendix to the report of the commissioners appointed to inquire into the application of iron to railway structures”, H.M. Stationary Office, London, England, 1849. [10] Stokes, G.G., “Discussion of a differential equation relating to the breaking of railway bridges”, Trans. Cambridge Philosophy Soc. 8(5),707-735 (1849). [11] Yang, Y.B., Yau, J.D., and Hsu, L.C., “Vibration of simple beams due to trains moving at high speeds”, Engrg. Struct., 19(11), 936-944 (1997). [12] Yang, Y.B., and Yau, J.D., “Vehicle-bridge interaction element for dynamic analysis”, J. Struct. Engrg., ASCE, 123(11), 1512-1518 (1997). [13] Y. Cai, S.S. Chen, D.M. Rote, “Vehicle/guideway dynamic interaction in maglev Systems”, Journal of Dynamic Systems Measurement and Control-Transactions of the ASME 18 (5) (1996) 526-530. [14] Y. Cai, S.S. Chen, D.M. Rote, “Vehicle/guideway interaction for high speed vehicles on a flexible guideway”, Journal of Sound and Vibration 175 (5) (1994) 625-646. [15] Y. Cai, S.S. Chen, “Dynamic characteristics of magnetically levitated vehicle Systems”, Applied Mechanics Reviews 50 (11) (1997) 647-670. [16] C.F. Zhao, W.M. Zhai, “Dynamics of maglev vehicle/guideway system(II)-modeling and simulation” , Chinese Journal of Mechanical Engineering 41 (8) (2005) 163-175. [17] X.J. Zheng, J.J. Wu, Y.-H. Zhou, “Numerical analyses on dynamic control of five-degree-of freedom maglev vehicle moving on flexible guideways”, Journal of Sound and Vibration 235 (2000) 43-61. [18] X.J. Zheng, J.J. Wu, Y.-H. Zhou, “Effect of spring non-linearity on dynamic stability of a controlled maglev vehicle and guideway system”, Journal of Sound and Vibration 279 (2005) 201-215. [19] H.P. Wang, J.Li, K.Zhang, “Vibration analysis of the maglev guideway with the moving load”, Journal of Sound and Vibration 305 (2007) 621-640. [20] M.H. Kargarnovin, D. Younesian, “Dynamics of Timoshenko beams on Pasternak foundation under moving load”, Mechanics Research Communications 31 (2004) 713-723. [21] Kiyoshi Asanuma, “Ladder Track Structure and Performance”, Railway Technology Avalanche No.6, September 1, 2004. [22] Dahlberg T., “Dynamic interaction between train and nonlinear railway model”, In: Proc of Fifth Int Conf on Structural Dynamics, Munich, 2002. [23] Wu TX, Thompson DJ, “The effects of track non- linearity on wheel/rail impact”, Proc Inst Mech Eng Part F: J Rail Rapid Transit 2004;218: 1-12.

Dynamic responses of the ladder track system subjected to moving train loads are investigated in this paper. The ladder track system is considered as a continuous beam rested on the visco-elastic foundation with evenly distributed spring and damper. The moving train loads are simplified as a combination of two-axle multi-moving-loads. The dynamics response of the ladder track system as continuous beam is simplified as a Euler-Bernoulli beam. Different responses of the continuous beam under various type of multi-moving-loads with constant acceleration are obtained by numerical analysis.
其他識別: U0005-2806201010374400
Appears in Collections:應用數學系所

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