Earthquakes and Structures

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New vibration control device and analytical method for slender structures

  • Takabatake, Hideo (Department of Architecture, Kanazawa Institute of Technology, Institute of Disaster and Environmental Science) ;
  • Ikarashi, Fumiya (Department of Architecture, Kanazawa Institute of Technology, Institute of Disaster and Environmental Science)
  • Received : 2011.07.15
  • Accepted : 2012.02.14
  • Published : 2013.01.25
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Abstract

Since slender structures such as utility poles, radio masts, and chimneys, are essentially statically determinate structures, they often collapse during earthquakes. Although vibration control is the most logical method for improving the earthquake resistance of such structures, there are many practical problems with its implementation due to their very long natural vibration period. This paper proposes a new vibration control device to effectively prevent the collapse of slender structures subjected to strong earthquakes. The device consists of a pendulum, an elastic restraint and a lever, and is designed such that when it is attached to a slender structure, the second vibration mode of the structure corresponds to the first vibration mode of the same structure without the device attached. This is highly effective in causing the transverse motions of the device and the structure to oppose each other and so reduce the overall transverse vibration during an earthquake. In the present paper, the effectiveness of the vibration control device is first evaluated based on laboratory experiments and numerical studies. An example of applying the device to a tall chimney is then simulated. A new dynamic analytical method for slender structures with abrupt rigidity variations is then proposed.

Keywords

References

  1. Abe, M. and Fujino, Y. (1994), "Dynamic characterization of multiple tuned mass dampers and some design formulas", Earthq. Eng. Struct. D., 23(8), 813-835. https://doi.org/10.1002/eqe.4290230802
  2. Abe, M. (1996), "Semi-active tuned mass dampers for seismic protection of civil structures", Earthq. Eng. Struct. D., 25(7), 743-749. https://doi.org/10.1002/(SICI)1096-9845(199607)25:7<743::AID-EQE579>3.0.CO;2-S
  3. Abe, M. (1996), "Tuned mass dampers for structures with bilinear hysteresis", J. Eng. Mech., 122(8), 797-800. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(797)
  4. Abe, M. and Igusa, T. (1996), "Semi-active dynamic vibration absorbers for controlling transient response", J. Sound Vib., 198(5), 547-569. https://doi.org/10.1006/jsvi.1996.0588
  5. Balendra, T., Wang, C.M. and Cheong, H.F. (1995), "Effectiveness of tuned liquid column dampers for vibration control of towers", Eng. Struct., 17(9), 668-675. https://doi.org/10.1016/0141-0296(95)00036-7
  6. Boley, B.A. (1963), "On the accuracy of the Bernoulli-Euler theory for beams of variable section", J. Appl. Mech., 30(3), 373-378. https://doi.org/10.1115/1.3636564
  7. Chang, J.C.H. and Soong, T.T. (1980), "Structural control using active tuned mass dampers", J. Eng. Mech., 106(6), 1091-1098.
  8. Fujii, K., Tamura, Y., Sato, T. and Wakahara, T. (1990), "Wind-induced vibration of tower and practical applications of tuned sloshing damper", J. Wind Eng. Ind. Aerod., 33(1-2), 263-272. https://doi.org/10.1016/0167-6105(90)90042-B
  9. Fujino, Y. and Abe, M. (1993), "Design formulas for tuned mass dampers based on a perturbation technique", Earthq. Eng. Struct. D., 22(10), 833-854. https://doi.org/10.1002/eqe.4290221002
  10. Gerges, R.R. and Vickery, B.J. (2005), "Optimum design of pendulum-type tuned mass damper", Struct. Des. Tall Spec. Build., 14(4), 353-368. https://doi.org/10.1002/tal.273
  11. Ghosh, A. and Basu, B. (2004), "Seismic vibration control of short period structures using the liquid column damper", Eng. Struct., 26(2004), 1905-1913. https://doi.org/10.1016/j.engstruct.2004.07.001
  12. Ghosh, A. and Basu, B. (2008), "Seismic vibration control of nonlinear structures using the liquid column damper", J. Struct. Eng., 134(1), 146-153. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(146)
  13. Gupta, A.K. (1985), "Vibration of tapered beams", J. Struct. Div.-ASCE, 111(1), 19-36. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:1(19)
  14. Gupta, A.K. (1986), "Frequency-dependent matrices for tapered beams", J. Struct. Eng.-ASCE, 112(1), 85-103. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:1(85)
  15. Igusa, T. and Xu, K. (1994), "Vibration control using multiple tuned mass dampers", J. Sound Vib., 175(4), 491-503. https://doi.org/10.1006/jsvi.1994.1341
  16. Johnston, B.G. (1976), Guide to stability design criteria for metal structures, Chap. II. Tapered structural members, 3rd Ed., John Wiley & Sons, Inc., New York, N.Y., 330-358.
  17. Kareem, A. and Kline, S. (1995), "Performance of multiple mass damper under random loading", J. Struct. Eng., 12(2), 348-361.
  18. Kaynia, A.M., Biggs, J.M. and Veneziano, D. (1981), "Seismic effectiveness of tuned mass dampers", J. Struct. Div.-ASCE, 107(8), 1465-1484.
  19. Kobori, T., Takahashi, M., Nasu, T., Niwa. N. and Ogasawara. K. (1993), "Seismic response controlled structure with Active Variable Stiffness system", Earthq. Eng. Struct. D., 22(11), 925-941. https://doi.org/10.1002/eqe.4290221102
  20. Lin, C.C., Lin, G.L. and Wang, J.F. (2010), "Protection of seismic structures using semi-active friction TMD", Earthq. Eng. Struct. D., 39(6), 635-659.
  21. Nagarajaiah, S. and Sonmez, E. (2007), "Structures with semiactive variable stiffness single/multiple tuned mass dampers", J. Struct. Eng., 133(1), 67-77. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:1(67)
  22. Nagarajaiah, S. and Varadarajan, N. (2004), "Short time fourier transform algorithm for wind response control of buildings with variable stiffness TMD", Eng. Struct., 27(2005), 431-441.
  23. Nagarajaiah, S. and Narasimhan, S. (2007), "Seismic control of smart base isolated buildings with new semiactive variable damper", Earthq. Eng. Struct. D., 36(6), 729-749. https://doi.org/10.1002/eqe.650
  24. Prathap, G. and Varadan, T.K. (1976), "Finite deflection of tapered cantilevers", J. Eng. Mech. Div.-ASCE, 102(3), 549-552.
  25. Roffel, A.J., Lourenco, R., Narasimham, S. and Yarusevych, S. (2011), "Adaptive compensation for detuning in pendulum turned mass dampers", J. Struct. Eng, 137(2), 242-251. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000286
  26. Rohde, F.V. (1953), "Large deflections of cantilever beam with uniformly distributed load", Q. Appl. Math., 11, 337. https://doi.org/10.1090/qam/56438
  27. Setareh, M., Ritchey, J.K., Murray, T.M., Koo, J.H. and Ahmadian, M. (2007), "Semiactive tuned mass damper for floor vibration control", J. Struct. Eng., 133(2), 242-250. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:2(242)
  28. Sun, J.Q., Jolly, M.R. and Norris, M.A. (1995), "Passive, adaptive and active tuned vibration absorbers - A survey", Trans. ASME J. Mech. Des., 117(B), 235-242. https://doi.org/10.1115/1.2826128
  29. Takabatake, H. (1990), "Cantilevered and linearly tapered thin-walled members", J. Eng. Mech., 116(4), 733-750. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:4(733)
  30. Takabatake, H. and Mizuki, A. (1995), "Simplified dynamic analysis of slender tapered thin-walled towers with additional mass and rigidity", J. Eng. Mech., 3(1), 61-74.
  31. Takabatake, H. and Satoh, T. (2006), "A simplified analysis and vibration control to super-high-rise buildings", Struct. Des. Tall Spec. Build., 15(4), 363-390. https://doi.org/10.1002/tal.276
  32. Takabatake, H. and Ikarashi, F. and Matsuoka, M. (2011), "A simplified analysis of super building structures with setback", Earthq. Struct., 2(1), 43-64. https://doi.org/10.12989/eas.2011.2.1.043
  33. Tesar, A. (1999), "Tuned vibration control of slender structures", Int. J. Numer Eng., 45(9), 1243-1255. https://doi.org/10.1002/(SICI)1097-0207(19990730)45:9<1243::AID-NME628>3.0.CO;2-2
  34. Thompson, A.G. (1981), "Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system", J. Sound Vib., 77(3), 403-415. https://doi.org/10.1016/S0022-460X(81)80176-9
  35. Varadarajan, N. and Nagarajaiah, S. (2004), "Wind response control of building with variable stiffness tuned mass damper using empirical mode demoposition/hilbert transform", J. Eng. Mech., 130(4), 451-458. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:4(451)
  36. Wang, T.M. and Lee, C.H. (1973), "Tapered cantilevers with varying distributed loads", J. Eng. Mech. Div.-ASCE, 99(4), 919-925.
  37. Won, A.Y.J., Pires, J.A. and Haroun, M.A. (1996), "Stochastic seismic evaluation of tuned liquid column dampers", Earthq. Eng. Struct. D., 25(11), 1259-1274. https://doi.org/10.1002/(SICI)1096-9845(199611)25:11<1259::AID-EQE612>3.0.CO;2-W
  38. Xu, K. and Igusa, T. (1992), "Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthq. Eng. Struct. D., 21(12), 1059-1070. https://doi.org/10.1002/eqe.4290211203
  39. Xu, L.H. and Li, Z.X. (2008), "Semi-active multi-step predictive control of structures using MR dampers", Earthq. Eng. Struct. D., 37(12), 1435-1448. https://doi.org/10.1002/eqe.822
  40. Yalla, S.K. and Kareem, A. (2000), "Optimum absorber parameters for tuned liquid column dampers", J. Struct. Eng., 126(8), 906-915. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(906)
  41. Yamaguchi, H. and Harnpornchai, N. (1993), "Fundamental characteristics of multiple tuned mass dampers for suppressing harmonically forced oscillations", Earthq. Eng. Struct. D., 22(1), 51-62. https://doi.org/10.1002/eqe.4290220105
  42. Zemp, R., Juan, C. de la Llera and Almazan, J.L. (2011), "Tall building vibration control using a TM-MR damper assembly", Earthq. Eng. Struct. D., 40(3), 339-354. https://doi.org/10.1002/eqe.1033

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