DOI QR코드

DOI QR Code

Dynamic response of a beam on multiple supports with a moving mass

  • Lee, H.P. (Department of Mechanical & Production Engineering, National University of Singapore)
  • 발행 : 1996.05.25

초록

The dynamic behavior of an Euler beam with multiple point constraints traversed by a moving concentrated mass, a "moving-force moving-mass" problem, is analyzed and compared with the corresponding simplified "moving-force" problem. The equation of motion in matrix form is formulated using Lagrangian approach and the assumed mode method. The effects of the presence of intermediate point constraints in reducing the fluctuation of the contact force between the mass and the beam and the possible separation of the mass from the beam are investigated. The equation of motion and the numerical results are expressed in dimensionless form. The numerical results presented are therefore applicable for a large combination of system parameters.

키워드

참고문헌

  1. Benedetti, G.A. (1974), "Dynamic stability of a beam loaded by a sequence of moving mass particles", Transaction of the ASME, Journal of Applied Mechanics, 41, 1069-1071. https://doi.org/10.1115/1.3423435
  2. Florence, A.L. (1965), "Traveling force on a Timoshenko beam", Transaction of the ASME, Journal of Applied Mechanics, 32, 351-358. https://doi.org/10.1115/1.3625806
  3. Fryba, L. (1972), Vibration of Solids and Structures Under Moving Loads, Noordhoff International Publishing, Groningen, The Netherlands.
  4. Katz, R., Lee, C. W., Ulsoy, A. G. and Scott, R.A. (1987), "Dynamic stability and response of a beam subject to a deflection dependent moving load", Transaction of the ASME, Journal of Vibration, Acoustics, Stress and Reliability in Design, 109, 361-365. https://doi.org/10.1115/1.3269454
  5. Lee, H. P. (1994), "Dynamic response of a beam with intermediate point constraints subjected to a moving load", Journal of Sound and Vibration, 171, 361-368. https://doi.org/10.1006/jsvi.1994.1126
  6. Nelson, H. D. and Conover, R. A. (1971), "Dynamic stability of a beam carrying moving masses", Transaction of the ASME, Journal of Applied Mechanics, 38, 1003-1006. https://doi.org/10.1115/1.3408901
  7. Sadiku, S. and Leipholz, H. H. E. (1987), "On the dynamics of elastic systems with moving concentrated masses", Ingenieur-Archiv, 57, 223-242. https://doi.org/10.1007/BF02570609
  8. Sloss, J.M., Adali, S., Sadek, I. S. and Bruch, Jr. J. C. (1988), "Displacement feedback control of beams under moving loads", Journal of Sound and Vibration, 122, 457-464. https://doi.org/10.1016/S0022-460X(88)80094-4
  9. Steele, C. R. (1967), "The finite beam with a moving load", Transaction of the ASME, Journal of Applied Mechanics, 34, 111-118. https://doi.org/10.1115/1.3607609
  10. Timoshenko, S. P. (1922), "On the forced vibration of bridges", Philosophical Magazine, 6, 1018.
  11. Timoshenko, S. P., Young, D. H. and Weaver, W. (1974), Vibration problems in Engineering, Wilery, New York.

피인용 문헌

  1. Vibro-acoustic modelling of a railway bridge crossed by a train vol.67, pp.5, 2006, https://doi.org/10.1016/j.apacoust.2005.07.005
  2. The effect of dynamic behavior on surface roughness of ball screw under the grinding force vol.52, pp.5-8, 2011, https://doi.org/10.1007/s00170-010-2731-2
  3. Influence du nombre de vehicules d'un convoi sur le comportement dynamique pont-convoi vol.5, pp.1, 2004, https://doi.org/10.1051/meca:2004008
  4. Dynamic response of a cable-stayed bridge subjected to a moving vehicle load vol.227, pp.10, 2016, https://doi.org/10.1007/s00707-016-1635-0
  5. Closed-form solution for the mode superposition analysis of the vibration in multi-span beam bridges caused by concentrated moving loads vol.119, 2013, https://doi.org/10.1016/j.compstruc.2013.01.003
  6. Dynamic responses of structures to moving bodies using combined finite element and analytical methods vol.43, pp.11, 2001, https://doi.org/10.1016/S0020-7403(01)00054-6
  7. A substructure approach tailored to the dynamic analysis of multi-span continuous beams under moving loads vol.329, pp.15, 2010, https://doi.org/10.1016/j.jsv.2010.02.016
  8. Dynamic amplification of a multi-span, continuous orthotropic bridge deck under vehicular movement vol.100, 2015, https://doi.org/10.1016/j.engstruct.2015.06.044
  9. Vibration analysis of Timoshenko beams under uniform partially distributed moving masses vol.221, pp.4, 2007, https://doi.org/10.1243/14644193JMBD95
  10. Application of Volterra Integral Equations in Dynamics of Multispan Uniform Continuous Beams Subjected to a Moving Load vol.2016, 2016, https://doi.org/10.1155/2016/4070627
  11. VIBRATION ANALYSIS OF THE CONTINUOUS BEAM SUBJECTED TO A MOVING MASS vol.230, pp.3, 2000, https://doi.org/10.1006/jsvi.1999.2625
  12. Dynamic Response of a Spinning Timoshenko Beam with General Boundary Conditions under a Moving Skew Force Using Global Assumed Mode Method vol.49, pp.2, 2006, https://doi.org/10.1299/jsmec.49.401
  13. An Exact Fourier Series Method for the Vibration Analysis of Multispan Beam Systems vol.4, pp.2, 2009, https://doi.org/10.1115/1.3079681