Torsion Analysis of High-Rise Buildings using Quadrilateral Panel Elements with Drilling D.O.F.s

Document Type : Research Article

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Abstract

Generally, the finite element method is a powerful procedure for analysis of tall buildings. Yet, it should be noted that there are some problems in the application of many finite elements to the analysis of tall building structures. The presence of artificial flexure and parasitic shear effects in many lower order plane stress and membrane elements, cause the numerical procedure to converge in a low rate. Nevertheless, very large hardware memory storage is needed because of using fine meshes. Hence, it should be better to develop and use elements which can model the structural system of tall buildings in coarse finite element meshes and converge fast. The panel type finite elements presented in this study, have vertical and horizontal degrees of freedom similar to those of wide column analogy in the frame method. There are two rotational degrees of freedom to be defined at the two end of the panel element, which denote the rotational freedom equal to the first derivative of lateral displacement. The proposed elements can simply be used in tall building analysis. The application of the proposed elements can be performed without using a fine mesh. Examples are given to denote the accuracy and efficiency of the presented panel elements. 

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References

[1]     B.S. Smith, B. Taranath, “The analysis of tall core supported structure subject to torsion”, Proceedings of the Institution of Civil Engineers, 53(2), 173-188, 1972.
[2]     S.A. Meftah et al, "A simplified approach for seismic calculation of a tall building braced by shear walls and thin-walled open section structures", Engineering Structures, vol. 29, pp. 2576–2585, 2007.
[3]     N.K. Oztorun, "A rectangular finite element formulation", Finite Element in Analysis and Design, Vol. 42, No. 12, pp. 1031-1052, 2006.
[4]     V.Z. Vlasov, “Thin Walled Elastic Beams”, 1st Edition, National Science Foundation, WashingtonD.C., 1961.
[5]     R.D. Steenbergen, J. Blaauwendraad, "Closed form element method for tall buildings of irregular geometry", Int. J. of Solids and Structures,2007, (Accepted- ID:10.1016/j.ijsolstr.2007.10.017).
[6]     B.J. Goodno, J.M. Gere, “Analysis of shear cores using super elements”, Journal of Structural Engineering, ASCE, 102(ST1), 267-283, 1976.
[7]     J.S. Kuang, S.C. Ng, “Coupled vibration of asymmetric core walls in tall buildings”, World Conference Advances in Structural Dynamics, Vol.1, Hong Kong, 2000.
[8]     B. Taranath, “Structural Analysis and Design of Tall Buildings”, 2nd Edition, McGraw Hill, 1998.
[9]     Y.K. Cheung, “Handbook of Structural Concrete Tall Buildings”, Chapter38,1st Edition, Pitman, 1983.
[10]  H. Haji-Kazemi, M. Company, “Exact method of analysis of shear lag in framed tube structures”, The Structural Design of Tall and Special Buildings, Vol. 11, 375-388, 2002.
[11]  A. Coull, B.S. Smith, “TallBuilding Structures: Analysis and Design”,1st Edition, John Wiley and Sons, New York, 1991.
[12]  J.S. Kuang, S.C. Ng, “Coupled vibration of tall building structures”, The Structural Design of Tall and Special Buildings, Vol. 13, 291-303, 2004
[13]  O.C. Zienkiewicz, C.J. Parekh, B. Teply, “Three dimensional analysis of buildings composed of floor and wall panels”, Proceedings of the Institution of Civil Engineers, 49(2), 319-332, 1971.
[14]  A. Nadjai, D. Johnson, “Torsion in tall buildings by a discrete force method”, The Structural Design of Tall Buildings, Vol.7, 217-231, 1998
[15]  O.A. Pekau, Z.A. Zielinski, L. Lin, “Displacement and natural frequencies of tall building structures by finite story method”, Computers and Structures, 54(1), 1-13, 1995.
[16]  K.H. Ha, “Orthotropic membrane for tall building analysis”, Journal of Structural Engineering, ASCE, 104(9), 1495-1505, 1978.
[17]  A.K.H. Kwan, “Analysis of buildings using strain based element with rotational d.o.f.s”, Journal of Structural Engineering, ASCE, 118(5), 1119-1212, 1992.
[18]  H.S. Kim, D.G. Lee, “Analysis of shear wall with opening using super elements”, Engineering Structures, Vol. 25, 981-991, 2003.
[19]  O.A. Pekau, L. Lim, Z.A. Zielinski, “Static and dynamic analysis of tall tube in tube structures by finite story method”, Engineering Structures, Vol. 18, 515-527, 1996.
[20]  K.H. Ha, M. Desbois, “Finite elements for tall building analysis”, ‍Computers and Structures, 33(1), 249-255, 1989.
[21]  I.A. Macleod, H. Hosney, “Frame analysis of shear wall cores”, Journal of Structural Engineering, ASCE, 103(10), 2037-2047, 1977.
[22]  A.K.H. Kwan, W.T. Chan, "Effective stiffness of coupling beams connected to walls on out-of-plane directions", Comput. and Struct, Vol.75,  pp. 385-394, 2000.     
[23]  A.B. Sabir, A. Sfendji, “Triangular and rectangular plane elasticity finite elements”, Thin Walled Structures, Vol. 21, 225-232, 1995.
[24]  M. Paknahad, et al; "Analysis of shear wall structures using optimal membrane triangle element", Finite elements in Analysis and Design, 2007,(Accepted-ID:10.1016/j.finel.2007.05.010).
[25]  A.K.H. Kwan, Y.K. Cheung, “Analysis of coupled shear core walls using a beam type element, Engineering Structures”, 16(2), 111-118, 1994.
[26]  H. Haji-Kazemi, A. Meshkat-Dini, “Improved method of analysis of structural members”, Journal of School of Engineering, Ferdowsi Univ. of Mashad, IRAN, 13(2), 33-43, 2002.
[27]  M. Tehranizadeh, A. Meshkat-Dini, “Response of tall building structures using panel elements with in-plane rotational stiffness”, Australian Earthquake Engineering Society Conference (AEES 2007), Wollongong, Australia, November 2007.
[28]  A. Meshkat-Dini, M. Tehranizadeh, “Modelling of torsional behavior of shear cores in tall buildings using strain based and displacement based finite elements”, 5th International Conference on Seismology and Earthquake Engineering (SEE5), Paper No.SC194N, Tehran, IRAN, 2007.
[29]  A.K.H. Kwan, “Resolving the artificial flexure problem in the frame method”, Proceedings of the Institution of Civil Engineers, Vol. 99, 1-14, 1993
[30]  M. Tehranizadeh, A. Meshkat-Dini, “Analysis of tall buildings using strain based quadrilateral elements with in-plane rotational d.o.f.s”, 11th  International Conference on Civil, Structural and Environmental Engineering Computing, Paper No. 435, St. Julians, Malta, September 2007.
[31]  J.N. Reddy, C.M. Wang, K.H. Lee, “Relationships between bending solutions of classical and shear deformation beam theories”, International Journal of Solids and Structures, 34(26), 3373-3384, 1997.
[32]  R.E. Nickel, G.A. Secor, “Convergence of consistently derived Timoshenko beam finite elements”, International Journal for Numerical Methods in Engineering, Vol. 5, 243-253, 1972.
[33]  K. Arvidsson, “Non-planar coupled shear walls in multi-story buildings”, Proceedings of the Institution of Civil Engineers, Vol. 122, 326-333, 1997. 
[34]  A. Coull, “Torsion of structural cores on deformable foundations”, Building Science, 10(1), 57-64, 1975.   
[35]  A. Rutenberg, M. Shtarkman, M. Eisenberger, “Torsional analysis methods for perforated cores”,  Journal of Structural Engineering, ASCE, 112(6), 1207-1227, 1986.
[36]مشکوةالدینی، افشین؛ تهرانی زاده، محسن؛ "تبیین رفتار پیچشی هسته‌های برشی در ساختمان‌های بلند با کاربرد المان‌های محدود ساخته شده بر مبنای توابع کرنش" ، نشریه علمی پژوهشی امیرکبیر، دانشگاه صنعتی امیرکبیر، 1386 (مقاله پذیرفته شده CMM-85-547  و در نوبت چاپ شماره 69) .
[37] V. Koumousis, G.A. Peppas, "Stiffness matrices for simple analogous frames for shear wall analysis", Comput. and Struct, Vol.43, No. 4, pp. 613-633, 1992.

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