Share:


Analysis of the global and local imperfection of structural members and frames

Abstract

Stresses of a structure are determined with a first or a second order analysis. The choice of the method is guided by the potential influence of the structure’s deformation. In general, considering their low rigidity with regard to those of buildings, scaffolding and shoring structures quickly reach buckling failure. Imperfections, such as structural defects or residual stresses, generate significant second order effects which have to be taken into account. The main challenge is to define these imperfections and to include them appropriately in the calculations. The present study suggests a new approach to define all the structure’s imperfections as a unique imperfection, based on the shape of elastic critical buckling mode of the structure. This study proposes a method allowing to determine the equation of the elastic critical buckling mode from the eigenvectors of the second order analysis of the structure. Subsequently, a comparative study of bending moments of different structures calculated according to current Eurocode 3 or 9 methods or according to the new method is performed. The obtained results prove the performance of the proposed method.

Keyword : geometrical imperfections, second order analysis, scaffolding

How to Cite
Mercier, C., Khelil, A., Khamisi, A., Al Mahmoud, F., Boissiere, R., & Pamies, A. (2019). Analysis of the global and local imperfection of structural members and frames. Journal of Civil Engineering and Management, 25(8), 805-818. https://doi.org/10.3846/jcem.2019.10434
Published in Issue
Oct 1, 2019
Abstract Views
1072
PDF Downloads
2149
Creative Commons License

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

References

Agüero, A., Pallarés, L., & Pallarés, F. J. (2015). Equivalent geometric imperfection definition in steel structures sensitive to flexural and/or torsional buckling due to compression. Engineering Structures, 96, 160-177. https://doi.org/10.1016/j.engstruct.2015.03.065

Baguet, S. (2001). Stability thin structures and imperfection sensitivity by the asymptotic numerical method (PhD Dissertation). University of Aix-Marseille. Aix-Marseille, France.

Chladný, E., & Štujberová, M. (2013a). Frames with unique global and local imperfection in the shape of the elastic buckling mode (Part 1). Stahlbau, 82(8), 609-617. https://doi.org/10.1002/stab.201310080

Chladný, E., & Štujberová, M. (2013b). Frames with unique global and local imperfection in the shape of the elastic buckling mode (Part 2). Stahlbau, 82(9), 684-694. https://doi.org/10.1002/stab.201310082

Eindhoven University of Technology. (2006). Physical background to beam-column formulae in EC3 (TC8).

Elishakoff, I. (1978). Axial impact buckling of a column with random initial imperfections. Journal of Applied Mechanics, 45, 361-365. https://doi.org/10.1115/1.3424302

European Committee for Standardization (CEN). (2005). NF EN 1993-1-1 Eurocode 3: Design of steel structures. Part 1-1: General rules and rules for buildings. Brussels, Belgium.

European Committee for Standardization (CEN). (2010). NF EN 1999-1-1/A1 Eurocode 9: Design of aluminium structures. Part 1-1: General structural rules. Brussels, Belgium.

Frey, F. (2014). Analysis of structural and continuum. Treaty of Civil Engineering from the Polytechnic School of Lausanne, 2.

Girão Coelho, A. M., Simão, P. D., & Wadee, M. A. (2013). Imperfection sensitivity of column instability revisited. Journal of Constructional Steel Research, 90, 265-282. https://doi.org/10.1016/j.jcsr.2013.08.006

Gonçalves, R., & Camotim, D. (2005). On the incorporation of equivalent member imperfections in the in-plane design of steel frames. Journal of Constructional Steel Research, 61, 1226-1240. https://doi.org/10.1016/j.jcsr.2005.01.006

Hassan, M. S., Salawdeh, S., & Goggins, J. (2018). Determination of geometrical imperfection models in finite element analysis of structural steel hollow sections under cyclic axial loading. Journal of Constructional Steel Research, 141, 189-203. https://doi.org/10.1016/j.jcsr.2017.11.012

Kala, Z. (2005). Sensitivity analysis of the stability problems of thin-walled structures. Journal of Constructional Steel Research, 61, 415-422. https://doi.org/10.1016/j.jcsr.2004.08.005

Maquoi, R., & Rondal, J. (1978). Getting equation of the European buckling curves. Steel Construction, 1, 17-30.

Maquoi, R., Boissonnade, N., Muzeau, J. P., Jaspart, J. P., & Villette, M. (2001). The interaction formulae for beam-columns: a new step of a yet long story. In Proceedings of the 2001 SSRC Annual Technical Session & Meeting (pp. 63-88).

Shayan, S., Rasmussen, K. J. R., & Zhang, H. (2014). On the modelling of initial geometric imperfections of steel frames in advanced analysis. Journal of Constructional Steel Research, 98, 167-177. https://doi.org/10.1016/j.jcsr.2014.02.016

Taheri-Behrooz, F., & Omidi, M. (2018). Buckling of axially compressed composite cylinders with geometric imperfections. Steel and Composite Structures, 29(4), 557-567. https://doi.org/10.12989/scs.2018.29.4.557

Taheri-Behrooz, F., Esmaeel, R. A., & Taheri, F. (2012). Response of perforated composite tubes subjected to axial compressive loading. Thin-Walled Structures, 50, 174-181. https://doi.org/10.1016/j.tws.2011.10.004

Taheri-Behrooz, F., Omidi, M., & Shokrieh, M. M. (2017). Experimental and numerical investigation of buckling behavior of composite cylinders with cutout. Thin-Walled Structures, 116, 136-144. https://doi.org/10.1016/j.tws.2017.03.009