Effect of Semi-Rigid Connection on Post-Buckling Behaviour of Frames Using Finite Element Method

Douaa Raheem Mohammed, Murtada A. Ismael

Abstract


It is very important task to estimate the post buckling for structures that have slender elements, since post-buckling state means loss the structures stability related with large displacement and that lead to demolition the structures. On the other hand, in the design and analysis of steel frame, the beam-columns connection is assumed perfect pin or fully rigid, this assumption leads to incorrect estimation of the structural behaviour. Practically, beam-column connection is between these two assumptions and this type of connection is called semi-rigid. This study presents a numerical analysis using finite element method to investigate the effect of semi-rigid connections on post-buckling behaviour of two-dimensional frames with different supporting types and different lateral loading cases. The semi-rigid connections are modelled as rotational spring in linear elastic stage, using COMBIN14 element which has rotational stiffness value.  The numerical results showed that; the effect of changing the beam-column connections from rigid to semi rigid for toggle frame with rotational joint stiffness 25EI/L to 15EI/L and 10EI/L led to decrease the initial peak load of the frames of fixed-fixed supports with percentages 3.36 %, 5.6% and 8.95% respectively as compared with that of the rigid connection frame, While, the frames with fixed-pin and pin-pin supports cases did not affected by this changing. The fixed-fixed support case is more affected by changing the joint stiffness from other cases and the effect of changing the joint stiffness in pin-pin support model is less significant from others. This can be attributed to that, the fixed-fixed supports is restrained in all degree of freedom and will be affected by any rotation and presence the pin in other cases makes the frame less affected by the rotation of semi-rigid connection. The effect of changing the beam-column connection from rigid to semi rigid decreases with presence the lateral load. Thus, the semi-rigid connection should be considered in analysis and design of steel frames to obtain more realistic results.


Keywords


Post-Buckling; Semi-Rigid Connections; Finite Element Method; Steel Frame.

References


Benson, David J., and John O. Hallquist. “A Single Surface Contact Algorithm for the Post-Buckling Analysis of Shell Structures.” Computer Methods in Applied Mechanics and Engineering 78, no. 2 (January 1990): 141–163. doi:10.1016/0045-7825(90)90098-7.

Khalifa, A.J.A., 2011. Design optimization of semi rigid steel framed structures to AISC-LRFD using Harmony search algorithm. Design Optimization of Semi Rigid Steel Framed Structures to AISC-LRFD Using Harmony Search Algorithm.

Van der Neut, A. (1956). Post buckling behaviour of structures (No. AGARD-60). Advisory Group for Aeronautical Research and Development Paris (France).‏

Al-Mahdawi, A.M.I., 2001. Nonlinear Elastic Plastic and Post-Buckling Instability Analysis of Plane Steel Frames with Non Prismatic Members (Doctoral dissertation, Ph. D. Thesis, Civil Engineering Department, College of Engineering Al-Mustansiria University, Baghdad).

Ahmad, A.S., Al-Khafaji, J. and Al-Sarraf, S.Z., 2006. Nonlinear Elastic Analysis and Post-Buckling of Steel Frames with Non-Prismatic Gusseted Plate Members. Journal of Engineering and Sustainable Development, 10(3), pp.1-17.

Novoselac, S., Ergić, T. and Baličević, P., 2012. Linear and nonlinear buckling and post-buckling analysis of a bar with the influence of imperfections. Tehnički vjesnik, 19(3), pp.695-701.

Ismael, M. A., & Salman, W. D. (2015). Post-buckling Behavior of Prismatic Structural Steel Members Using Finite Element Method. Journal of Engineering and Sustainable Development, 19(5), 224-246.

Szymczak, Czesław, and Marcin Kujawa. “Torsional Buckling and Post-Buckling of Columns Made of Aluminium Alloy.” Applied Mathematical Modelling 60 (August 2018): 711–720. doi:10.1016/j.apm.2018.03.040.

Szymczak, Czesław, and Marcin Kujawa. “Flexural Buckling and Post-Buckling of Columns Made of Aluminium Alloy.” European Journal of Mechanics - A/Solids 73 (January 2019): 420–429. doi:10.1016/j.euromechsol.2018.10.006.

Jones, S.W., P.A. Kirby, and D.A. Nethercot. “Effect of Semi-Rigid Connections on Steel Column Strength.” Journal of Constructional Steel Research 1, no. 1 (September 1980): 38–46. doi:10.1016/0143-974x(80)90007-3.

Degertekin, S.O. and Hayalioglu, M.S., 2004. Design of non-linear semi-rigid steel frames with semi-rigid column bases. Electronic journal of structural engineering, 4, pp.1-16.

Öztürk, Ali, and Mutlu Seçer. “An Investigation for Semi-Rigid Frames by Different Connection Models.” Mathematical and Computational Applications 10, no. 1 (April 1, 2005): 35–44. doi:10.3390/mca10010035.

Lim, P.Y., 2007. Non-linear Behaviour of One-bay Steel Frames with Semi-rigid Connections (Doctoral dissertation, Universiti Teknologi Malaysia).

Wang, X.W., 2008. Nonlinear finite element analysis on the steel frame with semi-rigid connections. In 7th International Conference on (pp. 31-36).

Dave, U. V., and G. M. Savaliya. “Analysis and Design of Semi-Rigid Steel Frames.” Structures Congress 2010 (May 18, 2010). doi:10.1061/41130(369)291.

Ibrahim, A. M., & Ismael, M. A. (2016). Post Buckling Behavior of Prismatic Structural Steel Members with Semi Rigid Connections. Engineering and Technology Journal, 34(6 Part (A) Engineering), 1116-1130.‏

Bahaz, A., S. Amara, J.P. Jaspart, and J.F. Demonceau. “Analysis of the Behaviour of Semi Rigid Steel End Plate Connections.” Edited by A. Diouri, A. Boukhari, L. Ait Brahim, L. Bahi, N. Khachani, M. Saadi, J. Aride, and A. Nounah. MATEC Web of Conferences 149 (2018): 02058. doi:10.1051/matecconf/201814902058.‏

Elvin, Alex, and Johnnie Strydom. “Optimizing Structures with Semi-Rigid Connections Using the Principle of Virtual Work.” International Journal of Steel Structures 18, no. 3 (April 30, 2018): 1006–1017. doi:10.1007/s13296-018-0043-9.

Ansys," ANSYS Structural Analysis Guide", Release 12.1, U.S.A., Copyright 2009.

Lightfoot, E. and Le Messurier, A., 1974. Elastic analysis of frameworks with elastic connections. Journal of the Structural Division, 100(Proc. Paper 10632).

Chan, S.L., and P.P.T. Chui. “Non-Linear Solution Techniques.” Non-Linear Static and Cyclic Analysis of Steel Frames with Semi-Rigid Connections (1999): 77–92. doi:10.1016/b978-008042998-4/50005-3.

Williams, F. W. “An Approach to the Non-Linear Behaviour of the Members of a Rigid Jointed Plane Framework with Finite Deflections.” The Quarterly Journal of Mechanics and Applied Mathematics 17, no. 4 (1964): 451–469. doi:10.1093/qjmam/17.4.451.

Kuo Mo Hsiao, and Fang Yu Hou. “Nonlinear Finite Element Analysis of Elastic Frames.” Computers & Structures 26, no. 4 (January 1987): 693–701. doi:10.1016/0045-7949(87)90016-2.


Full Text: PDF

DOI: 10.28991/cej-2019-03091358

Refbacks

  • There are currently no refbacks.




Copyright (c) 2019 Douaa Raheem MOHAMEED

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
x
Message