DOI QR코드

DOI QR Code

Random vibration of multispan Timoshenko frames due to a moving load

  • 발행 : 1998.09.25

초록

In this paper, an analytic method to examine the random vibration of multispan Timoshenko frames due to a concentrated load traversing at a constant velocity is presented. A load's magnitude is a stationary process in time with a constant mean value and a variance. Two types of variances of this load are considered: white noise process and cosine process. The effects of both velocity and statistical characteristics of load and span number of the frame on both the mean value and variance of deflection and moment of the structure are investigated. Results obtained from a multispan Timoshenko frame are compared with those of a multispan Bernoulli-Euler frame.

키워드

과제정보

연구 과제 주관 기관 : National Science Council

참고문헌

  1. Blejwas, T.E., Feng, C.C. and Ayre, R.S. (1979), "Dynamic interaction of movmg vehicles and structures", Journal of Sound and Vibration, 67(4), 513-521. https://doi.org/10.1016/0022-460X(79)90442-5
  2. Bolotin, V.V. (1984), Random Vibrations of Elastic Systems, Martinus Nijhoff Publishers, The Hague.
  3. Clough, R.W. (1955), "On the importance of higher modes of vibration in the earthquake response of a tall building", Bulletin of the Seismological Society of America, 45, 389-301.
  4. Dmitriev, A.S. (1982), "Dynamics of continuous multispan beams under a moving force", Soviet Applied Mechanics, 18, 179-186. https://doi.org/10.1007/BF00883326
  5. Fry'ba, L. (1971), Vibration of Solids and Structures under Moving Loads, Noordoff International publishing, Groningen.
  6. Fry'ba, L. (1977), "Non-stationary response of a beam to a moving random force", Journal of Sound and Vibration, 46(3), 323-338.
  7. Iwankiewicz, R. and Sniady, P. (1984), "Vibration of a beam under random stream of moving forces", Journal of Structural Mechanics, 12, 13-26. https://doi.org/10.1080/03601218408907460
  8. Knowles, J.K. (1968), "On the dynamic response of a beam to a random moving load", Journal of Applied Mechanics, 35(1), 1-6. https://doi.org/10.1115/1.3601165
  9. Mackertich, S. (1990), "Moving load on a Timoshenko beam", Journal of the Acoustical Society of America, 88(2), 1175-1178. https://doi.org/10.1121/1.399814
  10. Ricciardi, G. (1994), "Random vibration of beam under moving loads", Journal of Engineering Mechanics, 120(11), 2361-2380. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:11(2361)
  11. Sniady, P. (1984), "Vibration of a beam due to a random stream of moving forces with random velocity", Journal of Sound and Vibration, 97(1), 23-33. https://doi.org/10.1016/0022-460X(84)90464-4
  12. Timoshenko, S.P. (1921), "On the correction for shear of the differential equation for transverse vibration prismatic bars", Philosophical Magazine, 41, 744-746. https://doi.org/10.1080/14786442108636264
  13. Wang, R.T. and Lee, S.F. (1993), "Dynamic analysis of multispan frames subjected to moving loads using the finite element method", Journal of Civil and Hydraulic Engineering (in Chines), 20(1), 7-18.
  14. Wang, R.T. and Lin, J.S. (1997a), "Vibration of multispan frames to moving loads", Journal of the Chinese Society of Mechanical Engineers, 18(2), 151-162.
  15. Wang, R.T. and Lin, J.S. (1997b), "Vibration of T-type Timoshenko frames subjected to moving loads", Structural Engineering and Mechanics, An International Journal, 6(2), 229-243.