Structural Engineering and Mechanics

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Vibration analysis of asymmetric shear wall and thin walled open section structures using transfer matrix method

  • Received : 2009.02.03
  • Accepted : 2009.06.22
  • Published : 2009.09.10
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Abstract

A method for vibration analysis of asymmetric shear wall and Thin walled open section structures is presented in this paper. The whole structure is idealized as an equivalent bending-warping torsion beam in this method. The governing differential equations of equivalent bending-warping torsion beam are formulated using continuum approach and posed in the form of simple storey transfer matrix. By using the storey transfer matrices and point transfer matrices which consider the inertial forces, system transfer matrix is obtained. Natural frequencies can be calculated by applying the boundary conditions. The structural properties of building may change in the proposed method. A numerical example has been solved at the end of study by a program written in MATLAB to verify the presented method. The results of this example display the agreement between the proposed method and the other valid method given in literature.

Keywords

References

  1. Balendra, T., Swaddiwudhipong, S. and Quek, S.T. (1984), "Free vibration Od asymmetric shear wall-frame buildings", Earthq. Eng. Struct. Dyn., 12, 629-650. https://doi.org/10.1002/eqe.4290120505
  2. Basu, A., Nagpal, A.K., Bajaj, R.S. and Guliani, A. (1979), "Dynamic characteristics of coupled shear walls", J. Struct. Div., ASCE, 105, 1637-1651.
  3. Bilyap, S. (1979), "An approximate solution for high-rise reinforced concrete panel buildings with combined diaphragms", Int. J. Housing Sci., 3(6), 477-481.
  4. Boutin, C., Hans, S., Ibraim, E. and Roussilon, P. (2005), "In situ experiments and seismic analysis of existing buildings, Part II: Seismic integrity treshold", Earthq. Eng. Struct. Dyn., 34(12), 1531-1546. https://doi.org/10.1002/eqe.503
  5. Bozdogan, K.B. (2008), "An approximate method for static and dynamic analyses of symmetric wall-frame buildings", Struct. Des. Tall Spec. Build. (in press)
  6. Bozdogan, K.B. and Ozturk, D. (2008), "A method for static and dynamic analyses of stiffened multi-bay coupled shear walls", Struct. Eng. Mech., 28(4), 479-489. https://doi.org/10.12989/sem.2008.28.4.479
  7. Georurgoussis, K.G. (2006), "A simple model for assessing and modal response quantities in symmetrical buildings", Struct. Des. Tall Spec. Build., 15, 139-151. https://doi.org/10.1002/tal.286
  8. Heidebrecht, A.C. and Stafford Smith, B. (1973), "Approximate analysis of tall wall-frame buildings", J. Struct. Div., ASCE, 99(2), 199-221.
  9. Hoenderkamp, D.C.J. (2000), "Approximate analysis of high-rise frames with flexible connections", Struct. Des. Tall Build., 9, 233-248. https://doi.org/10.1002/1099-1794(200006)9:3<233::AID-TAL156>3.0.CO;2-O
  10. Hoenderkamp, D.C.J. (2001), "Elastic analysis of asymmetric tall buildings", Struct. Des. Tall Build., 10, 245-261. https://doi.org/10.1002/tal.183
  11. Hoenderkamp, D.C.J. (2002), "A simplified analysis of high-rise structures with cores", Struct. Des. Tall Build., 11, 93-107. https://doi.org/10.1002/tal.192
  12. Inan, M. (1968), "The method of initial values and carry-over matrix in elastomechanics", Middle East Technical University, Publication 20, 130.
  13. Kaviani, P., Rahgozar, R. and Saffari, H. (2008), "Approximate analysis of tall buildings using sandwich beam models with variable cross-section", Struct. Des. Tall Build., 17(2), 401-418. https://doi.org/10.1002/tal.360
  14. Kuang, J.S. and Ng, S.C. (2008), "lateral shear -st. venant Torsion Coupled Vibration of Assymmetric -Plan Frame Structures", Struct. Des. Tall Spec. Build. (in press)
  15. Kuang, J.S. and Ng, S.C. (2000), "Coupled lateral vibration of asymmetric shear wall structures", Thin Wall. Struct., 38(2), 93-104. https://doi.org/10.1016/S0263-8231(00)00033-1
  16. Laier, J.E. (2008), "An improved continuous medium technique for structural frame analysis", Struct. Des. Tall Build., 17, 25-38. https://doi.org/10.1002/tal.309
  17. Li, G.Q. and Choo, B.S. (1996), "A continuous discrete approach to the free vibration analysis of stiffened pierced walls on flexible foundations", Int. J. Solids Struct., 33(2), 249-263. https://doi.org/10.1016/0020-7683(95)00028-9
  18. Mancini, E. and Savassi, W. (1999), "Tall buildings structures unified plane panels behaviour", Struct. Des. Tall Build., 8, 155-170. https://doi.org/10.1002/(SICI)1099-1794(199906)8:2<155::AID-TAL125>3.0.CO;2-6
  19. Meftah, S.A. and Tounsi, A. (2008), "Vibration characteristics of tall buildings braced by shear walls and thinwalled open-section structures", Struct. Des. Tall Build., 17, 203-216. https://doi.org/10.1002/tal.346
  20. Michel, C., Hans, S., Guegen, P. and Boutin, C. (2006), In Situ Experiment and Modeling of Rc Structure Using Ambient Vibration and Timoshenko Beam, First European Conference on Earthquake Engineering and Seismology Geneva-Switzerland.
  21. Miranda, E. (1999), "Approximate lateral drift demands in multi-story buildings subjected to earthquakes", J. Struct. Div., ASCE, 125(4), 417-425. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:4(417)
  22. Miranda, E. and Reyes, J.C. (2002), "Approximate lateral drift demands in multi-story buildings with nonuniform stiffness", J. Struct. Div., ASCE, 128(7), 840-849. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:7(840)
  23. Miranda, E. and Taghavi, S. (2005), "Approximate floor acceleration demands in multistorey buildings I fourmulation", J. Struct. Div., ASCE, 131(2), 203-211. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:2(203)
  24. Nollet, J.M. and Stafford Smith, B. (1993), "Behavior of curtailed wall-frame structures", J. Struct. Div., ASCE, 119(10), 2835-2853. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:10(2835)
  25. Pestel, E. and Leckie, F. (1963), Matrix Methods in Elastomechanics, Mcgraw-Hill Book Company, 435.
  26. Potzta, G. and Kollar, L.P. (2003), "Analysis of building structures by replacement sandwich beams", Int. J. Solids Struct., 40, 535-553. https://doi.org/10.1016/S0020-7683(02)00622-4
  27. Rafezy, B. and Howson, W.P. (2008), "Vibration analysis of doubly assymmetric, three dimensional structures comprising wall and frame assemblies with variable cross section", J. Sound Vib. (in press)
  28. Rafezy, B., Zare, A. and Howson, P.W. (2007), "Coupled lateral-torsional frequencies of asymmetric, three dimensional frame structures", Int. J. Solids Struct., 44, 128-144. https://doi.org/10.1016/j.ijsolstr.2006.04.019
  29. Reinoso, E. and Miranda, E. (2005), "Estimation of floor acceleration demands in high rise buildings during earthquakes", Struct. Des. Tall Spec. Build., 14, 107-130. https://doi.org/10.1002/tal.272
  30. Rosman, R. (1964), "Approximate analysis of shear walls subject to lateral loads", Proc. Am. Concr. Inst., 61(6), 717-734.
  31. Savassi, W. and Mancini, E. (2004), One-dimensional finite element solution for tall building structures unified plane panels formulation", Struct. Des. Tall Spec. Build., 13(4), 315-333. https://doi.org/10.1002/tal.256
  32. Savassi, W. and Mancini, E. (2008), "One-dimensional finite element solution for non-uniform tall building structures and loading", Struct. Des. Tall Spec. Build. (in press)
  33. Stafford Smith, B. and Crowe, E. (1986), "Estimating periods of vibration of tall buildings", J. Struct. Div., ASCE, 112(5), 1005-1019. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:5(1005)
  34. Swaddiwudhipong, S., Lee, L.S. and Zhou, Q. (2001), "Effect of the axial deformation on vibration of tall buildings", Struct. Des. Tall Build., 10, 79-91. https://doi.org/10.1002/tal.175
  35. Tarjan, G. and Kollar, P.L. (2004), "Approximate analysis of building structures with identical stories subjected to earthquakes", Int. J. Solids Struct., 41(5-6), 1411-1433. https://doi.org/10.1016/j.ijsolstr.2003.10.021
  36. Toutanji, H. (1997), "The effect of foundation flexibility on the interaction of walls and frames", Eng. Struct., 19(12), 1036-1042. https://doi.org/10.1016/S0141-0296(97)00046-1
  37. Wang, Y., Arnaouti, C. and Guo, S. (2000), "A simple approximate formulation for the first two frequencies of asymmetric wall-frame multi-storey building structures", J. Sound Vib., 236(1), 141-160. https://doi.org/10.1006/jsvi.2000.2984
  38. Zalka, K. (1994), "Mode coupling in the torsional flexural buckling of regular multistorey buildings", Struct. Des. Tall Build., 3, 227-245. https://doi.org/10.1002/tal.4320030403
  39. Zalka, K. (2003), "A hand method for predicting the stability of regular buildings, using frequency measurements", Struct. Des. Tall Spec. Build., 12, 273-281. https://doi.org/10.1002/tal.221
  40. Zalka, K.A. (2001), "A simplified method for calculation of natural frequencies of wall-frame buildings", Eng. Struct., 23, 1544-1555. https://doi.org/10.1016/S0141-0296(01)00053-0
  41. Zalka, K.A. (2002), "Buckling analysis of buildings braced by frameworks, shear walls and cores", Struct. Des. Tall Build., 11, 197-219. https://doi.org/10.1002/tal.194
  42. Zalka, K.A. (2008), "A simple method for the deflection analysis of tall-wall-frame building structures under horizontal load", Struct. Des. Tall Spec. Build. (in press)

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