Steel and Composite Structures

  • 제45권1호
  • /
  • Pages.119-131
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  • 2022
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Combining different forms of statistical energy analysis to predict vibrations in a steel box girder comprising periodic stiffening ribs

  • Luo, Hao (Department of Bridge Engineering, Southwest Jiaotong University) ;
  • Cao, Zhiyang (Department of Bridge Engineering, Southwest Jiaotong University) ;
  • Zhang, Xun (Department of Bridge Engineering, Southwest Jiaotong University) ;
  • Li, Cong (Department of Bridge Engineering, Southwest Jiaotong University) ;
  • Kong, Derui (Department of Bridge Engineering, Southwest Jiaotong University)
  • 투고 : 2022.05.26
  • 심사 : 2022.10.20
  • 발행 : 2022.10.10
⟨ 이전 논문 다음 논문 ⟩

초록

Due to the complexity of the structure and the limits of classical SEA, a combined SEA approach is employed, with angle-dependent SEA in the low- and mid-frequency ranges and advanced SEA (ASEA) considering indirect coupling in the high-frequency range. As an important component of the steel box girder, the dynamic response of an L-junction periodic ribbed plate is calculated first by the combined SEA and validated by the impact hammer test and finite element method (FEM). Results show that the indirect coupling due to the periodicity of stiffened plate is significant at high frequencies and may cause the error to reach 38.4 dB. Hence, the incident bending wave angle cannot be ignored in comparison to classical SEA. The combined SEA is then extended to investigate the vibration properties of the steel box girder. The bending wave transmission study is likewise carried out to gain further physical insight into indirect coupling. By comparison with FEM and classical SEA, this approach yields good accuracy for calculating the dynamic responses of the steel box girder made of periodic ribbed plates in a wide frequency range. Furthermore, the influences of some important parameters are discussed, and suggestions for vibration and noise control are provided.

키워드

과제정보

The research described in this paper was financially supported by the National Natural Science Foundation of China [grant Nos. 51778534 and 51978580].

참고문헌

  1. Alten, K. and Flesch, K. (2012), "Finite element simulation prior to reconstruction of a steel railway bridge to reduce structureborne noise", Eng. Struct., 53(2), 83-88. https://doi.org/10.1016/j.engstruct.2011.11.001.
  2. Augusztinovicz, F., Marki, F., Gulyas, K., Nagy, A.B., Fiala, P. and Gajdatsy, P. (2006), "Derivation of train track isolation requirement for a steel road bridge based on vibro-acoustic analyses", J. Sound Vib., 293(3-5), 953-964. https://doi.org/10.1016/j.jsv.2005.12.018.
  3. Bosmans, I., Mees, P. and Vermeir, G. (1996), "Structure-borne sound transmission between thin orthotropic plates: Analytical solutions", J. Sound Vib., 191(1), 75-90. https://doi.org/10.1006/jsvi.1996.0107.
  4. Chen, X., Wang, D.F. and Ma, Z.D. (2012), "Simulation on a car interior aerodynamic noise control based on statistical energy analysis", Chin. J. Mech. Eng., 25(5), 1016-1021. https://doi.org/10.3901/CJME.2012.05.1016.
  5. Cremer, L., Heckl, M. and Petersson, B.A.T. (2005), Structureborne Sound: Structure Vibration and Sound Radiation at Audio Frequencies, (3rd edition), Springer-Verlag, Berlin, Germany.
  6. Fahy, F.J. (1994), "Statistical energy analysis: A critical overview", Phil. Trans. R. Soc. London A, 346(1681), 431-437. https://doi.org/10.1098/rsta.1994.0027.
  7. Fang, C. and Zhang, Y.H. (2021), "An improved hybrid FE-SEA model using modal analysis for the mid-frequency vibroacoustic problems", Mech. Syst. Signal Pr., 161, 107957. https://doi.org/10.1016/j.ymssp.2021.107957.
  8. Filippi, P.J.T. (2013), Vibrations and Acoustic Radiation of Thin Structures: Physical Basis, Theoretical Analysis and Numerical Methods, John Wiley and Sons, Hoboken, NJ, USA.
  9. Finnveden, S. (2004), "Evaluation of modal density and group velocity by a finite element method", J. Sound Vib., 273(1-2), 51-75. https://doi.org/10.1016/j.jsv.2003.04.004.
  10. Heron, K.H. (1994), "Advanced statistical energy analysis", Phil. Trans. R. Soc. London A, 346(1681), 501-510. https://doi.org/10.1098/rsta.1994.0032.
  11. Hopkins, C. (2007), Sound Insulation, Butterworth-Heinemann, Oxford, United Kingdom.
  12. Jang, H. and Hopkins, C. (2018) "Prediction of sound transmission in long spaces using ray tracing and experimental Statistical Energy Analysis", Appl. Acoust., 130, 15-33. https://doi.org/10.1016/j.apacoust.2017.09.004.
  13. Jeon, J., Ih, J.G. and Brunskog, J. (2021), "Wave transmission and vibration response in periodically stiffened plates using a free wave approach", J. Acoust. Soc. Am., 149(6), 3694-3702. https://doi.org/10.1121/10.0005125.
  14. Jeong, Y., Kim, W.S., Lee, I. and Park, Y. (2019), "Systematic experimental approach to determine banging noise source and location of a steel box girder using vibroacoustic analysis", J. Perform. Constr. Facil., 33(3), 04019033. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001287.
  15. Langley, R.S. (1992), "A wave intensity technique for the analysis of high frequency vibrations", J. Sound Vib., 159(3), 483-502. https://doi.org/10.1016/0022-460X(92)90754-L.
  16. Langley, R.S. and Cordioli, J.A. (2009), "Hybrid deterministicstatistical analysis of vibro-acoustic systems with domain couplings on statistical components", J. Sound Vib., 321(3-5), 893-912. https://doi.org/10.1016/j.jsv.2008.10.007.
  17. Liu, Q.M., Liu, L.Y., Chen, H.P., Zhou, Y.L. and Lei, X.Y. (2020), "Prediction of vibration and noise from steel/composite bridges based on receptance and statistical energy analysis", Steel Comp. Struct., 37(3), 291-306. https://doi.org/10.12989/scs.2020.37.3.291.
  18. Mace, B.R. (2005) "Statistical energy analysis: Coupling loss factors, indirect coupling and system modes", J. Sound Vib., 279(1-2), 141-170. https://doi.org/10.1016/j.jsv.2003.10.040.
  19. McConnell, K.G. and Varoto, P.S. (1995), Vibration Testing: Theory and Practice, (2nd edition), John Wiley and Sons, Hoboken, USA.
  20. Nilsson, C.M. and Finnveden, S. (2007), "Input power to waveguides calculated by a finite element method", J. Sound Vib., 305(4-5), 641-658. https://doi.org/10.1016/j.jsv.2007.04.025.
  21. Poblet-Puig, J. (2021), "Estimation of the coupling loss factors of structural junctions with in-plane waves by means of the inverse statistical energy analysis problem", J. Sound Vib., 493, 115850. https://doi.org/10.1016/j.jsv.2020.115850.
  22. Soedel, W. (2004), Vibrations of Shells and Plates, (3rd edition), CRC Press, Boca Raton, Florida, USA.
  23. Sun, K.Q., Zhang, N., Liu, X. and Tao, Y.X. (2021), "An equivalent single-layer theory for free vibration analysis of steel-concrete composite beams", Steel Comp. Struct., 38(3), 281-291. https://doi.org/10.12989/scs.2021.38.3.281.
  24. Tomita, S., Nakano, S., Sugiura, H. and Matsumura, Y. (2020), "Numerical estimation of the influence of joint stiffness on free vibrations of frame structures via the scattering of waves at elastic joints", Wave Motion, 96, 102575. https://doi.org/10.1016/j.wavemoti.2020.102575.
  25. Troitsky, M.S. (1976), Stiffened Plates: Bending, Stability and Vibrations, Elsevier Scientific Publish Company, Amsterdam, Netherlands.
  26. Tso, Y.K. and Hansen, C.H. (1998), "The transmission of vibration through a coupled periodic structure", J. Sound Vib., 215(1), 63-79. https://doi.org/10.1006/jsvi.1998.1608.
  27. Wang, X. and Hopkins, C. (2016), "Bending, longitudinal and torsional wave transmission on Euler-Bernoulli and Timoshenko beams with high propagation losses", J. Acoust. Soc. Am., 140(4), 2312-2332. https://doi.org/10.1121/1.4963900.
  28. Wilson, D. and Hopkins, C. (2015), "Analysis of bending wave transmission using beam tracing with advanced statistical energy analysis for periodic box-like structures affected by spatial filtering", J. Sound Vib., 341, 138-161. https://doi.org/10.1016/j.jsv.2014.12.029.
  29. Wu, F., Chen, Y.J., Yao, L.Y. and Hu, M. (2018), "The development of hybrid ES-FE-SEA method for mid-frequency vibration analysis of complex built-up structure", Appl. Math. Model., 64, 298-319. https://doi.org/10.1016/j.apm.2018.07.033.
  30. Yin, J.F. and Hopkins, C. (2013), "Prediction of high-frequency vibration transmission across coupled, periodic ribbed plates by incorporating tunneling mechanisms", J. Acoust. Soc. Am., 133(4), 2069-2081. https://doi.org/10.1121/1.4792361.
  31. Yin, J.F. and Hopkins, C. (2015), "Modelling bending wave transmission across coupled plate systems comprising periodic ribbed plates in the low-, mid-, and High-Frequency ranges using forms of statistical energy analysis", Shock Vib., 2015, 1-19. https://doi.org/10.1155/2015/467875.
  32. Yin, J.F. and Hopkins, C. (2015), "Treating periodic ribbed plates with symmetric ribs as individual subsystems in Statistical Energy Analysis: Models for bending wave transmission across L-junctions in the low- and mid-frequency ranges", J. Sound Vib., 344, 221-241. https://doi.org/10.1016/j.jsv.2015.01.031.
  33. Zhang, X., Cao, Z.Y., Luo, H., Kong, D.R. and Liu, Z.Q. (2022), "Mid-high frequency vibration attenuation properties of periodic U-rib plates: Numerical modeling and scale specimen testing", Thin. Wall. Struct., 171, 108644. https://doi.org/10.1016/j.tws.2021.108644.
  34. Zhang, X., Li, X., Liu, R., Hao, C.X. and Cao, Z.Y. (2020), "Dynamic properties of a steel-UHPC composite deck with large U-ribs: experimental measurement and numerical analysis". Eng. Struct., 213, 110569. https://doi.org/10.1016/j.engstruct.2020.110569.
  35. Zhang, X., Luo, H., Kong, D.R., Chen, T. and Li, X. (2021), "Vibro-acoustic performance of steel-concrete composite and prestressed concrete box girders subjected to train excitations", Rail. Eng. Science, 29(4), 336-349. https://doi.org/10.1007/s40534-021-00250-1.