Browse > Article

Exact Tangent Stiffness Matrix and Buckling Analysis Program of Plane Frames with Semi-Rigid Connections  

Min, Byoung Cheol (인덕대학 건설환경설계)
Kyung, Yong Soo (성균관대학교 건설환경연구소)
Kim, Moon Young (성균관대학교 건설환경시스템공학과)
Publication Information
Journal of Korean Society of Steel Construction / v.20, no.1, 2008 , pp. 81-92 More about this Journal
Abstract
Generally the connection of members is defined as hinge or rigid. But, real joints on structure have to be considered semi-rigid connections because this permits relative rotation for members on joints. The purpose of this study is to derive a generalized tangential stiffness matrix of frames with semi-rigid connections and to develop a buckling analysis program. For the exact stiffness matrix, an accurate displacement field is introduced using an equilibrium equation for beam-columns under the bending and axial forces. Also, stability functions that consider sway deformation and force-displacement relations with rotational spring on ends were defined. In order to illustrate the accuracy of this study and the characteristics of semi-rigid for system buckling load, samples of angle-, portal- and 3-story frames with semi-rigid connections are presented, where the proposed approach is found to be in excellent agreement with other research results. Meanwhile, the application of codes such as Eurocode 3 and LRFD led to significant inaccuracies.
Keywords
semi-rigid; frame; buckling; stability function; tangent stiffness matrix; elastic and geometric stiffness matrix;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Bathe, K. (1993) Finite element methods, Prentice-Hall, Englewood Cliffs, New Jersey, pp.110-113
2 Mageirou, G.E., and Gantes, C.J. (2006) Buckling strength of multi-story sway, non-sway and partially-sway frames with semi-rigid connections , Journal of Constructional Steel Research, Vol. 62, August, pp.893-905   DOI   ScienceOn
3 Raftoyannis, I.G (2005) The effect of semi-rigid joints and an elastic bracing system on the buckling load of simple rectangular steel frames, Journal of Constructi onal Steel Research, Vol. 61, pp.1205 -1225   DOI   ScienceOn
4 Li, Q.S. and Mativo, J. (2000) Approximate estimation of the maximum load of semi-rigid steel frames, Journal of Constructional Steel Research, Vol. 54, pp.213-238   DOI   ScienceOn
5 Eurocode 3. (2004) Design of steel structures Part 1.1: General rules for buildings. CEN Brussels 2004, CEN Document EN 1993-1-1
6 Kato, S., Mutoh, I., and Shomura, M. (1998) Collapse of semi-rigid jointed reticulated domes with initial geometric imperfections, Journal of Constructional Steel Research, Vol. 48, pp.145-213   DOI   ScienceOn
7 Saffan, S.A. (1963) Non-linear behavior of structual plane frames, Journal of Structural Division, ASCE, Vol.89, No. ST4, August, pp.557-579
8 Essa H.S. (1976) Stability of columns in unbraced frames, Journal of Structural Engineering, ASCE, Vol. 123., pp.952-959   DOI   ScienceOn
9 LRFD (1999), Load and resistance factor design specification for structural steel buildings. Chicago : American Institute of Steel Construction Inc. USA
10 Kishi, N., Chen, W.F. and Goto, Y. (1997) Effective length factor of columns in semi-rigid and unbraced frames, Journal of Structural Engineering, ASCE, Vol. 123, No.3, March, pp.313-320   DOI
11 Sekulovic, M., and Salatic, R. (2001) Nonlinear analysis of frames with flexible connections, Computer & Structures, Vol. 79, pp.1097-1107   DOI   ScienceOn
12 Connor, J.J. (1976) Analysis of structural member systems, the Ronald Press Company, New York, pp.585-603
13 Oran, C. (1973) Tangent stiffness in space frames, Journal of Structural Division, ASCE, Vol.99, No. ST6, June, pp.987-1001
14 Aristizabal-Ochoa, J.D. (2004) Column stability and minimum lateral bracing : effects of shear deformations, Journal of Engineering Mechanics, ASCE, Vol. 130., pp.1223-1232   DOI   ScienceOn