Damper placement optimization in a shear building model with discrete design variables: a mixed-integer second-order cone programming approach
SUMMARY Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed‐integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficient...
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| Veröffentlicht in: | Earthquake engineering & structural dynamics Jg. 42; H. 11; S. 1657 - 1676 |
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Blackwell Publishing Ltd
01.09.2013
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| Abstract | SUMMARY
Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed‐integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixed‐integer second‐order cone programming problem. The global optimal solution of the optimization problem is then found by using a solver based on a branch‐and‐cut algorithm. Two numerical examples in literature are solved with discrete design variables. In one of these examples, the proposed method finds a better solution than an existing method in literature developed for the continuous optimal damper placement problem. Copyright © 2013 John Wiley & Sons, Ltd. |
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| AbstractList | SUMMARY Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed-integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixed-integer second-order cone programming problem. The global optimal solution of the optimization problem is then found by using a solver based on a branch-and-cut algorithm. Two numerical examples in literature are solved with discrete design variables. In one of these examples, the proposed method finds a better solution than an existing method in literature developed for the continuous optimal damper placement problem. Copyright © 2013 John Wiley & Sons, Ltd. [PUBLICATION ABSTRACT] Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed‐integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixed‐integer second‐order cone programming problem. The global optimal solution of the optimization problem is then found by using a solver based on a branch‐and‐cut algorithm. Two numerical examples in literature are solved with discrete design variables. In one of these examples, the proposed method finds a better solution than an existing method in literature developed for the continuous optimal damper placement problem. Copyright © 2013 John Wiley & Sons, Ltd. SUMMARY Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed-integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixed-integer second-order cone programming problem. The global optimal solution of the optimization problem is then found by using a solver based on a branch-and-cut algorithm. Two numerical examples in literature are solved with discrete design variables. In one of these examples, the proposed method finds a better solution than an existing method in literature developed for the continuous optimal damper placement problem. Copyright [copy 2013 John Wiley & Sons, Ltd. SUMMARY Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed‐integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixed‐integer second‐order cone programming problem. The global optimal solution of the optimization problem is then found by using a solver based on a branch‐and‐cut algorithm. Two numerical examples in literature are solved with discrete design variables. In one of these examples, the proposed method finds a better solution than an existing method in literature developed for the continuous optimal damper placement problem. Copyright © 2013 John Wiley & Sons, Ltd. |
| Author | Kanno, Yoshihiro |
| Author_xml | – sequence: 1 givenname: Yoshihiro surname: Kanno fullname: Kanno, Yoshihiro email: Correspondence to: Yoshihiro Kanno, Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, Tokyo 113-8656, Japan., kanno@mist.i.u-tokyo.ac.jp organization: Department of Mathematical Informatics, University of Tokyo, 113-8656, Tokyo, Japan |
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| Cites_doi | 10.1002/eqe.132 10.1061/(ASCE)0733-9399(2004)130:4(401) 10.1007/s11081-011-9144-4 10.1016/j.jcsr.2012.07.011 10.1016/j.engstruct.2007.01.001 10.1007/s10107-002-0339-5 10.1016/j.scs.2010.08.002 10.1080/13632460802598545 10.1002/9780470824931 10.1002/nme.1620130202 10.1061/(ASCE)0733-9445(1999)125:4(401) 10.1007/s001580050158 10.1061/(ASCE)0733-9445(2005)131:10(1489) 10.1201/b10839 10.1002/nme.700 10.1016/j.endm.2010.05.093 10.1002/eqe.497 10.1061/(ASCE)0733-9445(1996)122:12(1394) 10.1016/S0141-0296(96)00034-X 10.1193/1.1586180 10.1002/eqe.23 10.1007/s00158-005-0558-5 10.1002/(SICI)1099-1794(199812)7:4<323::AID-TAL115>3.0.CO;2-L 10.1287/ijoc.1070.0256 10.1080/13632469.2011.653864 10.1002/nme.1567 10.1106/YV3B-TP5H-HWQ2-X1OK 10.1016/j.compstruc.2007.05.019 10.1002/tal.684 10.1061/(ASCE)0733-9445(2009)135:3(321) 10.1016/j.cma.2011.11.006 10.1002/(SICI)1096-9845(199711)26:11<1113::AID-EQE696>3.0.CO;2-X 10.1007/978-1-4614-0769-0 10.1007/s10107-008-0239-4 10.1016/j.engstruct.2006.04.016 10.1016/S0927-0507(05)12004-0 10.1002/nme.2871 |
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| Keywords | transfer function algorithms models structural control shear structural controls global global optimization seismic response amplitude solution optimization buildings cones mixed-integer programming transfer functions earthquake engineering optimal damper placement aseismic design |
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| References_xml | – reference: Takewaki I. Optimal damper placement for planar building frames using transfer functions. Structural and Multidisciplinary Optimization 2000; 20:280-287. – reference: Makrodimopoulos A, Martin CM. Lower bound limit analysis of cohesive-frictional materials using second-order cone programming. International Journal for Numerical Methods in Engineering 2006; 66:604-634. – reference: Ribakov Y, Agranovich G. Control of structural seismic response by a limited set of active dampers. The Structural Design of Tall and Special Buildings 2011; 20:594-611. – reference: Venkayya VB. Structural optimization: a review and some recommendations. International Journal for Numerical Methods in Engineering 1978; 13:203-228. – reference: Singh MP, Moreschi LM. Optimal placement of dampers for passive response control. Earthquake Engineering and Structural Dynamics 2002; 31:955-976. – reference: Rasmussen MH, Stolpe M. Global optimization of discrete truss topology design problems using a parallel cut-and-branch method. Computers and Structures 2008; 86:1527-1538. – reference: López García D. A simple method for the design of optimal damper configurations in MDOF structures. Earthquake Spectra 2001; 17:387-398. – reference: Takewaki I. Optimal damper placement for minimum transfer functions. Earthquake Engineering and Structural Dynamics 1997; 26:1113-1124. – reference: Lavan O, Levy R. Fully stressed design of passive controllers in framed structures for seismic loadings. Structural and Multidisciplinary Optimization 2006; 32:485-498. – reference: Wongprasert N, Symans M. Application of a genetic algorithm for optimal damper distribution within the nonlinear seismic benchmark building. Journal of Engineering Mechanics (ASCE) 2004; 130:401-406. – reference: Faigle U, Kern W, Still G. Algorithmic Principles of Mathematical Programming. 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Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a... Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a... SUMMARY Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a... |
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| SubjectTerms | aseismic design Dampers Damping Earth sciences Earth, ocean, space Earthquakes, seismology Engineering and environment geology. Geothermics Engineering geology Exact sciences and technology global optimization Internal geophysics Mathematical analysis Mathematical models mixed-integer programming optimal damper placement Optimization Placement Programming Shear structural control transfer function |
| Title | Damper placement optimization in a shear building model with discrete design variables: a mixed-integer second-order cone programming approach |
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