Advanced SearchSearch Tips
Lateral stability analysis of multistory buildings using the differential transform method
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Lateral stability analysis of multistory buildings using the differential transform method
Aydin, Suleyman; Bozdogan, Kanat Burak;
The determination of the critical buckling load of multistory structures is important since this load is used in second order analysis. It is more realistic to determine the critical buckling load of multistory structures using the whole system instead of independent elements. In this study, a method is proposed for designating the system critical buckling load of torsion-free structures of which the load-bearing system consists of frames and shear walls. In the method presented, the multistory structure is modeled in accordance with the continuous system calculation model and the differential equation governing the stability case is solved using the differential transform method (DTM). At the end of the study, an example problem is solved to show the conformity of the presented method with the finite elements method (FEM).
stability;differential transform method;continuous system;multistory structure;wall-frame;
 Cited by
Aristizabal-Ochoa, J.D. (1997), "Story stability of braced, partially braced and unbraced frames; classical approach", J. Struct. Eng., ASCE, 123(6), 799-807. crossref(new window)

Aristizabal-Ochoa, J.D. (2002), "Classic buckling of three-dimensional multi-column systems under gravity loads", J. Struct. Eng., ASCE, 128(6), 613-624.

Aristizabal-Ochoa, J.D. (2003), "Elastic stability and second-order analysis of three dimensional frames: effects of column orientation", J. Struct. Eng., ASCE, 129(11), 1254-1267.

Bozdogan, K.B. and Ozturk, D. (2010), "An approximate method for lateral stability analysis of wall-frame buildings including shear deformations of walls", Sadhana, 35(3), 241-253. crossref(new window)

Chai, Y.H. and Chen, Yanfei. (2009), "Reexamination of the vibrational period of coupled shear walls by differential transformation", J. Struct. Eng., ASCE, 135(11), 1330-1339 crossref(new window)

Chen, C. and Liu, Y. (1998), "Solution of two point boundary value problems using the differential transformation method", J. Opt. Theor. Appl., 99(1), 23-35. crossref(new window)

Colunga, T.C. and Hernandez, G.R. (2015), "Assessment of the lateral stiffness of walls with openings", COMPYDY, Crete island, Greece, May.

Ellwanger, R.J. (2013), "Floors number influence on the instability parameter of reinforced concrete wall-or core-braced buildings", IBRACON Estrut. Mater., 6(5), 783-810. crossref(new window)

Gantes, C.J. and Mageirou, G.E. (2005), "Improved stiffness distribution factors for evaluation of effective buckling lengths in multi-story sway frames", Eng. Struct., 27(7), 1113-1124. crossref(new window)

Gengshu, T., Pi, Y.L., Bradford, M.A. and Tin-Loi, F. (2008), "Buckling and second order effects in dual shear-flexural Systems", J. Struct. Eng., ASCE, 134(11), 1726-1732. crossref(new window)

Gengshu, T. and Yun, W. (2008), "A simplified method for the buckling of outrigger-shear wall braced Structures", Adv. Struct. Eng., 11(1), 1-15. crossref(new window)

Girgin, K., Ozmen, G. and Orakdogen, E. (2006), "Buckling lengths of irregular frame columns", J. Const. Steel Res., 62, 605-613. crossref(new window)

Girgin, K. and Ozmen, G. (2007), "Simplified procedure for determining buckling loads of threedimensional framed structures", Eng. Struct., 29(9), 2344-2352. crossref(new window)

Gomes, F.C., e Costa, P.M.P., Rodrigues, J.P.C. and Neves, I.C. (2007), "Buckling length of a steel column for fire design", Eng. Struct., 29(10), 2497-2502. crossref(new window)

Gustafsson, D. and Hehir J. (2005), "Stability of tall buildings", MSc. Dissertation, Chalmers University of Technolog, Goteborg.

Hoenderkamp, J.C.D. (2002), "Critical loads of lateral load resisting structures for tall buildings", Struct. Des. Tall Build., 11(3), 221-232. crossref(new window)

Kaveh, A. and Salimbahrami, B. (2006), "Buckling load of symmetric plane frames using canonical forms", Comput. Struct., 85, 1420-1430.

Kaveh, A. (2013), Optimal Analysis of Structures by Concepts of Symmetry and Regularity, Springer Verlag, GmbH, Wien-NewYork.

Keskin, Y., Kurnaz, A., Kiris, M. and Oturanc, G. (2007), "Approximate solutions of generalized pantograph equations by the differential transform method", Int. J. Nonlin. Sci., 8, 159-164.

Kollar, L. (2008), "Second order effects on building structures-an approximate evaluation", 17th Congress of IABSE, Chicago, September.

Lal, R. and Ahlawat, N. (2015), "Axisymmetric vibrations and buckling analysis of functionally graded circular plates via differential transform method", Eur. J. Mech. A Solid., 52, 85-94. crossref(new window)

Li. Q.S. (2001), "Stability of tall buildings with shear wall structures", Eng. Struct., 23, 1177-1185. crossref(new window)

Liu, Z., Yin, Y., Wang, F., Zhao, Y. and Cai, L. (2013), "Study on modified differential transform method for free vibration analysis of uniform Euler-Bernoulli beam", Struct. Eng. Mech., 48(5), 697-709. crossref(new window)

Mageirou, G.E. and Gantes, C.J. (2006), "Buckling strength of multi-story sway, non-sway and partially sway frames with semi rigid connections", J. Const. Steel Res., 62, 893-905. crossref(new window)

Nadjai, A. and Johnson, D. (1998), "Elastic and elasto-plastic analysis of planar coupled shear walls with flexible bases", Comput. Struct., 68, 213-229. crossref(new window)

Orumu, S.T. (2013), "Approximate elastic model for determination of critical loads and effective lengths for simple sway frames", IJES, 2(8), 113-120.

Ozgumus, O.O. and Kaya, M.O. (2006), "Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method", Meccanica, 41(6), 661-670. crossref(new window)

Ozmen, G. and Girgin, K. (2005), "Buckling lengths of unbraced multi-storey frame columns", Struct. Eng. Mech., 19(1), 55-71. crossref(new window)

Potzta, G. and Kollar, L.P. (2003), "Analysis of building structures by replacement sandwich beams", Int. J. Solid. Struct., 40, 535-553. crossref(new window)

Pukhov, G.E. (1981), "Expanison formulas for differential transforms", Cybern. Syst. Anal., 17(4), 460-464.

Rajasekaran, S. (2009), Structural Dynamics of Earthquake Engineering: Theory and Application using Mathematica and Matlab, Woodhead Publishing in Materials, CRC Press India.

Rajasekaran, S. (2008), "Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods", Struct. Eng. Mech., 28(2), 221-238. crossref(new window)

Rosman, R. (1974), "Stability and dynamics of shear-wall frame structures", Build. Sci., 9, 55-63. crossref(new window)

Rosman, R. (1981), "Buckling and vibrations of spatial building structures", Eng. Struct., 3, 194-202. crossref(new window)

Rutenberg, A., Levithian, I. and Decalo, M. (1988), "Stability of shear-wall structures", J. Struct. Eng., ASCE, 114(3), 707-716. crossref(new window)

Syngellakis, S. and Kameshki, E.S. (1994), "Elastic critical loads for plane frames by transfer matrix method" J. Struct. Eng., ASCE, 120(4), 1140-1157. crossref(new window)

Tong, G.S. and Ji, Y. (2007), "Buckling of frames braced by flexural bracing", J. Const. Steel Res., 63, 229-236. crossref(new window)

Wang, C.M., Ang, K.K. and Quek, S.T. (1991), "Stability formulae for shear-wall frame structures", Build. Env., 26(2), 217-222. crossref(new window)

Wang, S.K. (1997), "Stiffness, stability and fundamental period of coupled shear walls of variable thickness", Proc. Instn Civ. Eng. Struct. Build., 122(3), 334-338. crossref(new window)

Wood, R.H. (1974a), "Effective lengths of columns in multi-story buildings. part 1 Effective lengths of Single columns and allowances for continuity", Struct. Eng., 52(7), 235-244.

Wood, RH. (1974b), "Effective lengths of columns in multi-story buildings. part 2 effective lengths of multiple columns in tall buildings with sidesway", Struct. Eng., 52(7), 295-302.

Wood, R.H. (1974c), "Effective lengths of columns in multi-story buildings.part 3 features which increase the stiffness of tall frames against sway collapse, and recommendations for designers", Struct. Eng., 52(7), 341-346.

Xenidis, H. and Makarios, T. (2004), "Critical buckling load of multi-story r/c buildings", 13th World Conference on Earthquake Engineering, Vancouver, Canada, August.

Xu, L. and Wang, X.H. (2007), "Stability of multi-storey unbraced steel frames subjected to variable loading", J. Const. Steel Res., 63(10), 1506-1514. crossref(new window)

Zalka, K.A. (1999), "Full-height buckling of frameworks with cross-bracing", Proc. Instn. Civ. Eng. Struct. Build., 134(2), 181-191. crossref(new window)

Zalka, K.A. (2000), Global Structural Analysis of Buildings, Taylor & Francis Group, Boca Raton, FL, USA.

Zalka, K.A. (2002a), "Global stability analysis and structural performance of buildings braced by infilled frames", Proc. Instn. Civ. Eng. Struct. Build., 152(3), 213-224. crossref(new window)

Zalka, K.A. (2002b), "Buckling analysis of buildings braced by frameworks, shear walls and cores", Struct. Des. Tall Build., 11(3), 197-219. crossref(new window)

Zalka, K.A. (2003), "A hand method for predicting the stability of regular buildings, using frequency measurements", Struct. Des. Tall Build., 12(4), 273-281. crossref(new window)

Zalka, K.A. (2013), Structural analysis of regular multi-storey buildings, Taylor & Francis Group, Boca Raton, FL, USA.

Zhang, L., Tong, G.S. and Ji, Y. (2015), "Buckling of flexural-shear bracing system and its braced steel frames", Adv. Struct. Eng., 18(11), 1831-1844. crossref(new window)