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FREQUENCY VARIATION IN VEHICLE–BRIDGE INTERACTION SYSTEMS

Y. B. YANG

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, Taiwan

National Yunlin University of Science and Technology, Yunlin, Taiwan 64002, Taiwan

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M. C. CHENG

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, Taiwan

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, and

K. C. CHANG

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, Taiwan

Corresponding author.

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https://doi.org/10.1142/S0219455413500193Cited by:116 (Source: Crossref)

Abstract

The variation of the instantaneous frequencies of bridges under moving vehicles is a problem not well studied in the literature. A theoretical framework is presented for the problem, considering the variation in frequencies for both the bridge and moving vehicle. First, the equations of motion are written for the two sub-systems. By solving the eigenvalue problem, analytical solutions in closed-form are derived from the frequencies of the vehicle and bridge that are coupled with each other. Based on this, the variation pattern, range, and dominating factors involved are studied, along with the special cases of moving mass and moving load. The results reveal that, if a moving vehicle is to be used as a tool for measuring the bridge frequencies or for detecting the bridge damages, the frequency variation caused by moving vehicles should be taken into account. Such an effect will be crucial when the vehicle mass is not negligible compared with the bridge mass or when the resonance condition is approached.

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References

J. M. Biggs , Introduction to Structural Dynamics ( McGraw-Hill , New York , 1964 ) . Google Scholar
J. Q. Bu, S. S. Law and X. Q. Zhu, J. Eng. Mech. 132, 1372 (2006), DOI: 10.1061/(ASCE)0733-9399(2006)132:12(1372). Crossref, Web of Science, Google Scholar
R. D. Cooket al., Concepts and Applications of Finite Element Analysis, 4th edn. (John Wiley and Sons, Inc, New York, 2002). Google Scholar
C. R. Farraret al., Variability of modal parameters measured on the Almosa Cayon Bridge, Proc. 15th Int. Modal Analysis Conf. (IMAC15) (1997) pp. 257–263. Google Scholar
C. Y. Kimet al., Earthq. Eng. Eng. Vib. 2(1), 109 (2003), DOI: 10.1007/BF02857543. Crossref, Google Scholar
J. Li, M. Su and L. Fan, J. Bridge Eng. 8(4), 199 (2003), DOI: 10.1061/(ASCE)1084-0702(2003)8:4(199). Crossref, Web of Science, Google Scholar
C. W. Lin and Y. B. Yang, Eng. Struct. 27, 1865 (2005), DOI: 10.1016/j.engstruct.2005.06.016. Crossref, Web of Science, Google Scholar
J. H. G. Macdonald and W. E. Daniell, Eng. Struct. 27, 1916 (2005), DOI: 10.1016/j.engstruct.2005.06.007. Crossref, Web of Science, Google Scholar
H. Sohn, Philos. T. Roy. Soc. 365, 539 (2007), DOI: 10.1098/rsta.2006.1935. Crossref, Web of Science, Google Scholar
J. D. Turner and A. J. Pretlove, J. Sound Vib. 122(1), 31 (1988), DOI: 10.1016/S0022-460X(88)80004-X. Crossref, Web of Science, Google Scholar
Z. Xianget al., Int. Multiscale Mech. 3(2), 173 (2010). Crossref, Web of Science, Google Scholar
Y. B. Yang and K. C. Chang, Eng. Struct. 31(10), 2448 (2009), DOI: 10.1016/j.engstruct.2009.06.001. Crossref, Web of Science, Google Scholar
Y. B. Yang, C. W. Lin and J. D. Yau, J. Sound Vib. 272(5), 471 (2004), DOI: 10.1016/S0022-460X(03)00378-X. Crossref, Web of Science, Google Scholar
Y. B. Yang and K. C. Chang, J. Sound Vib. 322, 718 (2009), DOI: 10.1016/j.jsv.2008.11.028. Crossref, Web of Science, Google Scholar
J. D. Yau and Y. B. Yang, Finite Elem. Anal. Des. 40, 341 (2004), DOI: 10.1016/S0168-874X(03)00051-9. Crossref, Web of Science, Google Scholar
Q. W. Zhang, L. C. Fan and W. C. Yuan, Earthq. Eng. Struct. Dyn. 31, 2015 (2002), DOI: 10.1002/eqe.204. Crossref, Web of Science, Google Scholar