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Vibration analysis of the continuous beam with the multi-moving-loads
|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:|| Fryba, L., “Vibration of solids and structures under moving loads”, Noordhoff International, Groningen, Netherlands, 1977.  Kenney, J.T., “Steady state vibrations of beam on elastic foundation for moving loads”, J. Appl. Mech. ASME 21 (4), 359-364 (1954).  Achenbach, J.D., Sun, C., “Dynamic response of beam on viscoelastic subgrade”, J. Engng. Mech. ASCE 91,61 (1965).  Florence, A.L., “Traveling force on a Timoshenko beam”, J. Appl. Mech. ASME 32 (2), 351-358 (1965).  Steele, C.R., “The finite beam with a moving load”, J. Appl. Mech. ASME 34 (1), 111 (1967).  Mead D.J., “Vibration response and wave propagation in periodic structures”, J. Eng. Ind. T. ASME, Ser. B 93, 783-792 (1971).  Jezequel L., “Analysis of critical speeds of a moving load on an infinite periodically supported beam”, J. Sound Vib. 73 (4), 606-610 (1980).  Bogacz R., Krzyzynski T., Popp K., “On dynamics of systems modeling continuous and periodic guideways”, Arch. Appl. Mech. 45 (5), 575-593 (1993).  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.  Stokes, G.G., “Discussion of a differential equation relating to the breaking of railway bridges”, Trans. Cambridge Philosophy Soc. 8(5),707-735 (1849).  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).  Yang, Y.B., and Yau, J.D., “Vehicle-bridge interaction element for dynamic analysis”, J. Struct. Engrg., ASCE, 123(11), 1512-1518 (1997).  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.  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.  Y. Cai, S.S. Chen, “Dynamic characteristics of magnetically levitated vehicle Systems”, Applied Mechanics Reviews 50 (11) (1997) 647-670.  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.  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.  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.  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.  M.H. Kargarnovin, D. Younesian, “Dynamics of Timoshenko beams on Pasternak foundation under moving load”, Mechanics Research Communications 31 (2004) 713-723.  Kiyoshi Asanuma, “Ladder Track Structure and Performance”, Railway Technology Avalanche No.6, September 1, 2004.  Dahlberg T., “Dynamic interaction between train and nonlinear railway model”, In: Proc of Fifth Int Conf on Structural Dynamics, Munich, 2002.  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.||摘要:||
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.
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