Controlling Out-of-Plane Buckling in Shear-Acting Structural Fuses through Topology Optimization
Publication: Journal of Structural Engineering
Volume 146, Issue 7
Abstract
Shear-acting structural fuses rely on steel plates subjected to in-plane lateral displacements that dissipate energy through shear yielding or may have cutouts that result in shear or flexural yielding of ductile local mechanisms. However, the relatively high slenderness of the plates makes them prone to buckling, reducing the strength and energy dissipation capacity. The current study aims to facilitate local yielding mechanisms in shear structural fuses while resisting buckling. First, a genetic algorithm is implemented to find optimized topologies for structural fuses with a square domain and constant thickness. An objective function is formulated using the elastic shear buckling load obtained from a 3D eigenvalue analysis and the shear yield load obtained from a material nonlinear, but geometrically linear 2D plane-stress analysis. The ratio of shear yield load divided by shear buckling load is used as a way to control the amount of yielding expected before buckling. The set of new optimized topologies are interpreted into smooth shapes and analyzed using finite element models to evaluate their effectiveness. The finite element simulations show that the optimized geometries can resist buckling through inelastic displacement cycles with up to five times larger displacements than those that cause buckling in previously studied structural fuse shapes.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available in a repository online in accordance with funder data retention policies: Avecillas, J. and Eatherton, M. R. 2019. “Topology optimization to resist buckling. V1.” Virginia Tech Structural Engineering and Materials Report Series. Accessed July 15, 2019. http://hdl.handle.net/10919/91453.
Acknowledgments
The National Secretariat of Higher Education, Science, Technology, and Innovation of Ecuador (SENESCYT) provided support for this study through its graduate fellowship program. Some aspects of this work were supported by the National Science Foundation under Grant No. CMMI-1453960. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation or other sponsors.
References
AISC. 2016. Seismic provision for structural steel buildings. Chicago, IL: AISC.
ASTM 2018. Standard specification for high-strength low-alloy columbium-vanadium structural steel. ASTM A572/A572M. West Conshohocken, PA: ASTM.
Avecillas, J. 2019. “Topology optimization of steel shear fuses to resist buckling.” M.Sc. thesis, Dept. of Civil Engineering, Virginia Polytechnic Institute and State Univ.
Berman, J., and M. Bruneau. 2003. “Plastic analysis and design of steel plate shear walls.” J. Struct. Eng. 129 (11): 1448–1456. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:11(1448).
Black, C. J., N. Makris, and I. D. Aiken. 2004. “Component testing, seismic evaluation and characterization of buckling-restrained braces.” J. Struct. Eng. 130 (6): 880–894. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:6(880).
Chapman, C. D., K. Saitou, and M. J. Jakiela. 1994. “Genetic algorithms as an approach to configuration and topology design.” J. Mech. Des. 116 (4): 1005–1012. https://doi.org/10.1115/1.2919480.
Cheng, G., and L. Xu. 2016. “Two-scale topology design optimization of stiffened or porous plate subject to out-of-plane buckling constraint.” Struct. Multidiscip. Optim. 54 (5): 1283–1296. https://doi.org/10.1007/s00158-016-1542-y.
Cortes, G., and J. Liu. 2011. “Experimental evaluation of steel slit panel–frames for seismic resistance.” J. Constr. Steel Res. 67 (2): 181–191. https://doi.org/10.1016/j.jcsr.2010.08.002.
De Matteis, G., F. D’Agostino, and G. Brando. 2014. “Experimental tests on steel buckling inhibited shear panels.” Open Constr. Build. Technol. J. 8 (1): 279–288. https://doi.org/10.2174/1874836801408010279.
Deng, K., P. Pan, W. Li, and Y. Xue. 2015. “Development of a buckling restrained shear panel damper.” J. Constr. Steel Res. 106 (1): 311–321. https://doi.org/10.1016/j.jcsr.2015.01.004.
Deng, K., P. Pan, J. Sun, J. Liu, and Y. Xue. 2014. “Shape optimization design of steel shear panel dampers.” J. Constr. Steel Res. 99 (Aug): 187–193. https://doi.org/10.1016/j.jcsr.2014.03.001.
Eatherton, M. R., X. Ma, H. Krawinkler, D. Mar, S. Billington, J. F. Hajjar, and G. G. Deierlein. 2014. “Design concepts for controlled rocking of self-centering steel-braced frames.” J. Struct. Eng. 140 (11): 04014082. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001047.
Egorova, N., M. R. Eatherton, and A. Maurya. 2014. “Experimental study of ring-shaped steel plate shear walls.” J. Constr. Steel Res. 103 (Dec): 179–189. https://doi.org/10.1016/j.jcsr.2014.09.002.
Ferrari, F., and O. Sigmund. 2019. “Revisiting topology optimization with buckling constraints.” Struct. Multidiscip. Optim. 59 (5): 1401–1415. https://doi.org/10.1007/s00158-019-02253-3.
Gao, X., L. Li, and H. Ma. 2017. “An adaptive continuation method for topology optimization of continuum structures considering buckling constraints.” Int. J. Appl. Mech. 9 (7): 1750092. https://doi.org/10.1142/S1758825117500922.
Gao, X., and H. Ma. 2015. “Topology optimization of continuum structures under buckling constraints.” Comput. Struct. 157 (Sep): 142–152. https://doi.org/10.1016/j.compstruc.2015.05.020.
Ghabraie, K., R. Chan, X. Huang, and Y. M. Xie. 2010. “Shape optimization of metallic yielding devices for passive mitigation of seismic energy.” Eng. Struct. 32 (8): 2258–2267. https://doi.org/10.1016/j.engstruct.2010.03.028.
Hajela, P. 1990. “Genetic search-an approach to the nonconvex optimization problem.” AIAA J. 28 (7): 1205–1210. https://doi.org/10.2514/3.25195.
Hajela, P., and E. Lee. 1995. “Genetic algorithms in truss topological optimization.” Int. J. Solids Struct. 32 (22): 3341–3357. https://doi.org/10.1016/0020-7683(94)00306-H.
Jakiela, M. J., C. Chapman, J. Duda, A. Adewuya, and K. Saitou. 2000. “Continuum structural topology design with genetic algorithms.” Comput. Methods Appl. Mech. Eng. 186 (2–4): 339–356. https://doi.org/10.1016/S0045-7825(99)00390-4.
Lazarov, B. S., F. Wang, and O. Sigmund. 2016. “Length scale and manufacturability in density-based topology optimization.” Arch. Appl. Mech. 86 (1–2): 189–218. https://doi.org/10.1007/s00419-015-1106-4.
Lindgaard, E., and J. Dahl. 2013. “On compliance and buckling objective functions in topology optimization of snap-through problems.” Struct. Multidiscip. Optim. 47 (3): 409–421. https://doi.org/10.1007/s00158-012-0832-2.
Liu, Y., and M. Shimoda. 2013. “Shape optimization of shear panel damper for improving the deformation ability under cyclic loading.” Struct. Multidiscip. Optim. 48 (2): 427–435. https://doi.org/10.1007/s00158-013-0909-6.
Ma, X., E. Borchers, A. Pena, H. Krawinkler, and G. Deierlein. 2010. “Design and behavior of steel shear plates with openings as energy-dissipating fuses.” In Blume earthquake engineering center. Stanford, CA: Stanford Univ.
Madeira, J. A., H. Rodrigues, and H. Pina. 2005. “Multi-objective optimization of structures topology by genetic algorithms.” Adv. Eng. Software 36 (1): 21–28. https://doi.org/10.1016/j.advengsoft.2003.07.001.
Madeira, J. A., H. Rodrigues, and H. Pina. 2006. “Multi-objective topology optimization of structures using genetic algorithms with chromosome repairing.” Struct. Multidiscip. Optim. 32 (1): 31–39. https://doi.org/10.1007/s00158-006-0007-0.
MathWorks. 2016. Matlab R2016a documentation. Natick, MA: MathWorks.
Munk, D. J., G. A. Vio, and G. P. Steven. 2017. “A simple alternative formulation for structural optimisation with dynamic and buckling objectives.” Struct. Multidiscip. Optim. 55 (3): 969–986. https://doi.org/10.1007/s00158-016-1544-9.
Neves, M. M., H. Rodrigues, and J. M. Guedes. 1995. “Generalized topology design of structures with a buckling load criterion.” Struct. Optim. 10 (2): 71–78. https://doi.org/10.1007/BF01743533.
Phillips, A. R., and M. R. Eatherton. 2018. “Large-scale experimental study of ring shaped–steel plate shear walls.” J. Struct. Eng. 144 (8): 04018106. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002119.
Popov, E. P., and M. D. Engelhardt. 1988. “Seismic eccentrically braced frames.” J. Constr. Steel Res. 10 (Jan): 321–354. https://doi.org/10.1016/0143-974X(88)90034-X.
Rai, D. C., and B. J. Wallace. 1998. “Aluminum shear-links for enhanced seismic resistance.” Earthquake Eng. Struct. Dyn. 27 (4): 315–342. https://doi.org/10.1002/(SICI)1096-9845(199804)27:4%3C315::AID-EQE703%3E3.0.CO;2-N.
Rajan, S. D. 1995. “Sizing, shape, and topology design optimization of trusses using genetic algorithm.” J. Struct. Eng. 121 (10): 1480–1487. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1480).
Sigmund, O. 2001. “A 99 line topology optimization code written in Matlab.” Struct. Multidiscip. Optim. 21 (2): 120–127. https://doi.org/10.1007/s001580050176.
Sigmund, O. 2011. “On the usefulness of non-gradient approaches in topology optimization.” Struct. Multidiscip. Optim. 43 (5): 589–596. https://doi.org/10.1007/s00158-011-0638-7.
Simulia. 2014. Abaqus version 6.14 documentation. Vélizy-Villacoublay, France: Dassault Systems.
Skinner, R. I., J. M. Kelly, and A. J. Heine. 1974. “Hysteretic dampers for earthquake resistant structures.” Earthquake Eng. Struct. Dyn. 3 (3): 287–296. https://doi.org/10.1002/eqe.4290030307.
Taylor, R. L. 2013. FEAP version 8.4 user manual. Berkeley, CA: Univ. of California at Berkeley.
Thomsen, C. R., F. Wang, and O. Sigmund. 2018. “Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis.” Comput. Methods Appl. Math. 339 (Sep): 115–136. https://doi.org/10.1016/j.cma.2018.04.031.
Tsai, K. C., H. W. Chen, C. P. Hong, and Y. F. Su. 1993. “Design of steel triangular plate energy absorbers for seismic resistant construction.” Earthquake Spectra 9 (3): 505–528. https://doi.org/10.1193/1.1585727.
Vian, D., M. Bruneau, and R. Purba. 2009. “Special perforated steel plate shear walls with reduced beam section anchor beams. II: Analysis and design recommendations.” J. Struct. Eng. 135 (3): 221–228. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:3(221).
Wang, S. Y., and K. Tai. 2005. “Structural topology design optimization using genetic algorithms with a bit-array representation.” Comput. Methods Appl. Math. 194 (36–38): 3749–3770. https://doi.org/10.1016/j.cma.2004.09.003.
Wang, S. Y., K. Tai, and M. Y. Wang. 2006. “An enhanced genetic algorithm for structural topology optimization.” Int. J. Numer. Methods Eng. 65 (1): 18–44. https://doi.org/10.1002/nme.1435.
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Published In
Journal of Structural Engineering
Volume 146 • Issue 7 • July 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Jul 15, 2019
Accepted: Feb 6, 2020
Published online: Apr 29, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 29, 2020
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