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Using an artificial bee colony algorithm for the optimal placement of viscous dampers in planar building frames

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Abstract

In this study, an Artificial Bee Colony Algorithm (ABCA) is used to obtain the optimal size and location of viscous dampers in planar buildings to reduce the damage to the frame systems during an earthquake. The transfer function amplitude of the top displacement and the elastic base shear force evaluated at the first natural circular frequency of structures are chosen as objective functions. The damper coefficients of the added viscous dampers are taken into consideration as design variables in a planar building frame. Transfer function amplitude of the top displacement and the amplitude of the elastic base shear force at the fundamental natural frequency are minimized under an active constraint on sum of the damper coefficients of the added dampers. According to two specified objective functions, an optimization algorithm based on the ABCA is proposed. The proposed method is verified by a gradient-based algorithm; steepest direction search algorithm (SDSA). The proposed ABCA and the SDSA are applied to find the optimal damper distribution for a nine-storey planar building then the optimal damper allocation obtained from the ABCA is investigated to rehabilitate models of irregular planar buildings. The validity of the proposed method was demonstrated through a time history analysis of the optimal damper designs, which were determined based on the frequency domain using the ABCA. The numerical results of the proposed optimal damper design method show that the use of the ABCA can be a practical and powerful tool to determine the optimal damper allocation in planar building structures.

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References

  • Agrawal AK, Yang JN (2000) Design passive energy dissipation systems based on LQR methods. J Intell Mater Syst Struct 10(20):933–944

    Google Scholar 

  • Ashour SA, Hanson RD (1987) Elastic response of buildings with supplemental damping. Technical Report UMCE:87–1

  • Aydin E, Boduroglu MH, Guney D (2007) Optimal damper distribution for seismic rehabilitation of planar building structures. Eng Struct 29:176–185

    Article  Google Scholar 

  • Aydin E (2012) Optimal damper placement based on base moment in steel building frames. J Constr Steel Res 79:216–225

    Article  Google Scholar 

  • Bishop JA, Striz AG (2004) On using genetic algorithms for optimum damper placement in space trusses. Struct Multidisc Optim 28:136–145

    Article  Google Scholar 

  • Bonabeau E, Dorigo M, Theraulaz G (1999) Swarm intelligence: from natural to artificial systems. Oxford University Press, New York, NY

    MATH  Google Scholar 

  • Cao X, Mlejnek HP (1995) Computational prediction and redesign for visco-elastically damped structures. Comput Methods Appl Mech Eng 125:1–16

    Article  Google Scholar 

  • Cimellaro GP (2007) Simultaneous stiffness-damping optimization of structures with respect to acceleration displacement and base shear. Eng Struct 29:2853–2870

    Article  Google Scholar 

  • Constantinou MC, Symans MD (1992) Experimental and analytical investigation of seismic response of structures with supplemental fluid viscous dampers. Technical Report NCEER-92-0032. National Center for Earthquake Engineering Research, Buffalo, New York

  • Dargush GF, Sant RS (2005) Evolutionary aseismic design and retrofit of structures with passive energy dissipation. Earthq Eng Struct Dyn 34(13):1601–1626

    Article  Google Scholar 

  • Farhat F, Nakamura S, Takahashi K (2009) Application of genetic algorithm to optimization of buckling restrained braces for seismic upgrading of existing structures. Comput Struct 87:110–119

    Article  Google Scholar 

  • Fujita K, Moustafa A, Takewaki I (2010a) Optimal placement of visco-elastic dampers and supporting members under variable critical excitations. Earthq Struct 1:43–67

    Article  Google Scholar 

  • Fujita K, Yamamoto K, Takewaki I (2010b) An evolutionary algorithm for optimal damper placement to minimize interstorey-drift transfer function in shear building. Earthq Struct 1(3):289–306

    Article  Google Scholar 

  • Gürgöze M, Müller PC (1992) Optimum position of dampers in multi body systems. J Sound Vib 158(3):517–530

    Article  MATH  Google Scholar 

  • Hahn GD, Sathiavageeswara KR (1992) Effects of added-damper distribution on the seismic response of building. Comput Struct 43(5):941–950

    Article  Google Scholar 

  • Honey Bee Biology (2010) Honey Bee Information. http://honeybee.tamu.edu. Texas A&M University, Accessed 2 June 2010

  • Karaboga F (2005) An idea based on honeybee swarm for numerical optimization. Technical Report. Erciyes University, Turkey

  • Karaboga D, Basturk B (2008) On the performance of Artificial Bee Colony (ABC). Appl Soft Comput 8:687–697

    Article  Google Scholar 

  • Kennedy J, Eberhart RC, Shi Y (2001) Swarm intelligence. Morgan Kaufmann Publishers, San Francisco, CA

    Google Scholar 

  • Lavan O, Levy R (2005) Optimal design of supplemental viscous dampers for irregular shear frames in the presence of the yielding. Earthq Eng Struct Dyn 34:889–907

    Article  Google Scholar 

  • Lavan O, Levy R (2006) Optimal peripheral drift control of 3d Irregular framed structures using supplemental viscous dampers. J Earthqu Eng 10(6):903–923

    Google Scholar 

  • Lavan O, Levy R (2009) Simple iterative use of Lyapunov’s solution for the linear optimal design of passive devices in framed structures. J Earthqu Eng 13(5):650–666

    Article  Google Scholar 

  • Lavan O, Dargush GF (2009) Multi-objective optimal seismic retrofitting of structures. J Earthqu Eng 13:758–790

    Article  Google Scholar 

  • Lavan O, Levy R (2010) Performance based optimal seismic retrofitting of yielding plane frames using added viscous damping. Earthq Struct 1(3):307–326

    Article  Google Scholar 

  • Lavan O, Cimellaro GP, Reinhorn AM (2008) Noniterative optimization procedure for seismic weakening and damping of inelastic structures. J Struct Eng ASCE 134(10):1638–1648

    Article  Google Scholar 

  • Lemmens N, Jong S, Tuyls K, Nowe A (2007) A bee algorithm for multi-agent systems: recruitment and navigation combined. AAMAS, Honolulu, Hawaii USA

    Google Scholar 

  • Levy R, Lavan O (2006) Fully stressed design of passive controllers in framed structures for seismic loadings. Struct Multidisc Optim 32(6):485–489

    Article  Google Scholar 

  • Lopez GD, Soong TT (2002) Efficiency of a simple approach to damper allocation in MDOF structures. J Struct Control 9:19–30

    Article  Google Scholar 

  • Park JH, Kim J, Min KW (2004) Optimal design of added viscoelastic dampers and supporting braces. Earthq Eng Struct Dyn 33:465–484

    Article  Google Scholar 

  • Shukla AK, Datta TK (1999) Optimal use of viscoelastic dampers in building frames for seismic force. J Struct Eng 125(4):401–409

    Article  Google Scholar 

  • Silvestri S, Trombetti T (2007) Physical and numerical approaches for the optimal insertion of seismic viscous dampers in shear-type structures. J Earthqu Eng 11(5):787–828

    Article  Google Scholar 

  • Singh MP, Moreschi LM (2001) Optimum seismic response control with dampers. Earthq Eng Struct Dyn 30:553–572

    Article  Google Scholar 

  • Sonmez M (2011a) Artificial bee colony algorithm for optimization of truss structures. Appl Soft Comput 11(2):2406–2418

    Article  Google Scholar 

  • Sonmez M (2011b) Discrete optimum design of truss structures using artificial bee colony algorithm. Struct Multidisc Optim 43:85–97

    Article  Google Scholar 

  • Symans MD, Charney FA, Whittaker A, Constantinou MC, Kircher CA, Hohson MW, McNamara RJ (2008) Energy dissipation systems for seismic applications: current practice and recent developments. J Struct Eng ASCE 134(1):3–21

    Article  Google Scholar 

  • Takewaki I (1997) Efficient redesign of damped structural systems for target transfer functions. Comput Methods Appl Mech Eng 147:275–286

    Article  MATH  Google Scholar 

  • Takewaki I (1999) Non-monotonic optimal damper placement via steepest direction search. Earthq Eng Struct Dyn 28:655–670

    Article  Google Scholar 

  • Takewaki I (2000) Optimum damper placement for planar building frames using transfer functions. Struct Multidisc Optim 20:280–287

    Article  Google Scholar 

  • Takewaki I (2009) Building control with passive dampers: Optimal performance-based design for earthquakes. Wiley (Asia), Singapore

  • Takewaki I, Yoshitomi S (1998) Effects of support stiffnesses on optimal damper placement for a planar building frame. Struct Des Tall Build 7:323–336

    Article  Google Scholar 

  • Tsuji M, Nakamura T (1996) Optimum viscous dampers for stiffness design of shear buildings. Struct Des Tall Build 5:217–234

    Article  Google Scholar 

  • Von Frisch K (1967) Dance language and orientation of bees. Harvard University Press, Cambridge, Massachusetts

    Google Scholar 

  • Wang H, Li AQ, Jiao CK, Spencer BF (2010) Damper placement for seismic control of super-long-span suspension bridges based on the first-order optimization method. Sci China Tech Sci 53(7):2008–2014

    Article  MATH  Google Scholar 

  • Wongprasert N, Symans MD (2004) Application of a genetic algorithm for optimal damper distribution within the nonlinear seismic benchmark building. J Eng Mech 130(4):401–406

    Article  Google Scholar 

  • Zhang RH, Soong TT (1992) Seismic design of visco–elastic dampers for structural applications. Struct Eng ASCE 118(5):1375–1392

    Article  Google Scholar 

Download references

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Correspondence to E. Aydin.

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Sonmez, M., Aydin, E. & Karabork, T. Using an artificial bee colony algorithm for the optimal placement of viscous dampers in planar building frames. Struct Multidisc Optim 48, 395–409 (2013). https://doi.org/10.1007/s00158-013-0892-y

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  • DOI: https://doi.org/10.1007/s00158-013-0892-y

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