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Influence of some key factors on material damping of steel beams

  • Wang, Yuanfeng (School of Civil Engineering, Beijing Jiaotong University) ;
  • Pan, Yuhua (School of Civil Engineering, Beijing Jiaotong University) ;
  • Wen, Jie (School of Civil Engineering, Beijing Jiaotong University) ;
  • Su, Li (School of Civil Engineering, Beijing Jiaotong University) ;
  • Mei, Shengqi (School of Civil Engineering, Beijing Jiaotong University)
  • Received : 2012.05.12
  • Accepted : 2013.12.09
  • Published : 2014.02.10

Abstract

Material damping affects the dynamic behaviors of engineering structures considerably, but up to till now little research is maintained on influence factors of material damping. Based on the damping-stress function of steel, the material damping of steel beams is obtained by calculating the stress distribution of the beams with an analytical method. Some key influence factors of the material damping, such as boundary condition, amplitude and frequency of excitation, load position as well as the cross-sectional dimension of a steel beam are analyzed respectively. The calculated results show that even in elastic scope, material damping does not remain constant but varies with these influence factors. Although boundary condition affects material damping to some extent, such influence can be neglected when the maximum stress amplitude of the beam is less than the fatigue limit of steel. Exciting frequency, load position and cross-section dimension have great effects on the material damping of the beam which maintain the similar changing trend under different boundary conditions respectively.

Keywords

References

  1. Bert, C.W. (1973), "Material damping: an introductory review of mathematic measures and experimental technique", J. Sound Vib., 29(2), 129-153. https://doi.org/10.1016/S0022-460X(73)80131-2
  2. Bishop, R.E.D. (1956a), "The behavior of damped linear system in steady oscillation", Aeronaut. Quart., 7, 156-168.
  3. Bishop, R.E.D. (1956b), "The general theory of hysteretic damping", Aeronaut. Quart., 7, 60-70.
  4. Chen, K.F. and Zhang, S.W. (2008), "On the impulse response precursor of an ideal linear hysteretic damper", J. Sound Vib., 312(4), 576-583. https://doi.org/10.1016/j.jsv.2007.07.091
  5. Cochardt, A.W. (1954), "A method for determining the internal damping of machine members", J. Appl. Mech., 22, 257-262.
  6. Crandall, S.H. (1970), "The role of damping in vibration theory", J. Sound Vib., 11(1), 3-IN1. https://doi.org/10.1016/S0022-460X(70)80105-5
  7. Gounaris, G.D. and Anifantis, N.K. (1999), "Structural damping determination by finite element approach", Comput. Struct., 73(1), 445-452. https://doi.org/10.1016/S0045-7949(98)00257-0
  8. Gounaris, G.D., Antonakakis, E. and Papadopoulos, C.A. (2007), "Hysteretic damping of structures vibrating at resonance: an iterative complex eigensolution method based on damping-stress relation", Comput. Struct., 85(23), 1858-1868. https://doi.org/10.1016/j.compstruc.2007.02.026
  9. Hart, G.C. and Vasudevan, R. (1975), "Earthquake design of buildings: damping", J. Struct. Div., 101(1), 11-30.
  10. Inaudi, J.A. and Kelly, J.M. (1995), "Linear hysteretic damping and the Hilbert transform", J. Eng. Mech., 121(5), 626-632. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:5(626)
  11. Kume, Y., Hashimoto, F. and Maeda, S. (1982), "Material damping of cantilever beams", J. Sound Vib., 80(1), 1-10. https://doi.org/10.1016/0022-460X(82)90386-8
  12. Lazan, B.J. (1952), Effect of damping constants and stress distribution on the resonance response of members, Minnesota University, Minneapolis.
  13. Lazan, B.J. (1968), Damping of Material and Members in Structural Mechanics, Pergamon Press, London.
  14. Lin, R.M. and Zhu, J. (2009), "On the relationship between viscous and hysteretic damping models and the importance of correct interpretation for system identification", J. Sound Vib., 325(1), 14-33. https://doi.org/10.1016/j.jsv.2009.02.051
  15. Lin, Y.Y. and Chang, K.C. (2003), "Study on damping reduction factor for buildings under earthquake ground motions", J. Struct. Eng., 129(2), 206-214. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:2(206)
  16. Maia, N. (2009), "Reflections on the hysteretic damping model", Shock Vib., 16(5), 529-542. https://doi.org/10.1155/2009/674758
  17. Myklestad, N.O. (1952), "The concept of complex damping", Appl. Mech., 19, 284-286.
  18. Nashif, A.D., Jones, D.I. and Henderson, J.P. (1985), Vibration Damping, John Wiley & Sons, New York.
  19. Osi?ski, Z. (1998), Damping of Vibrations, A.A. Balkema, Netherlands.
  20. Rainieri, C., Fabbrocino, G. and Cosenza, E. (2010), "Some remarks on experimental estimation of damping for seismic design of civil constructions", Shock Vib., 17(4), 383-395. https://doi.org/10.1155/2010/737452
  21. Rayleigh, L. (1877), Theory of Sound, Two Volumes, Dover Publications, NewYork. (Re-issued 1945)
  22. Wang, Y.F. and Li, P. (2008), "Analysis of influence of material damping on the dynamic response of reinforced concrete frame structures", China Civil Eng. J., 41(11), 39-43. (in Chinese)
  23. Wang, Y.F. and Wen, J. (2010), "Computation and formula for material damping of concrete-filled steel tube components under axial cycle load", J. Vib. Shock, 29(4), 12-16. (in Chinese)
  24. Wen, J. and Wang, Y.F. (2008), "Calculation of material damping of reinforced concrete cantilever beams", China Civil Eng. J., 41(2), 77-80. (in Chinese)
  25. Yorgiadis, A. (1954), "Damping capacity of materials", Product Eng., 32, 164-170.

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