A Numerical Study on Semi-Active Control of a Bridge Deck under Seismic Excitation
This study investigates the benefits of implementing the semi-active devices in relation to passive viscous damping in the context of seismically isolated bridge structures. Since the intrinsically nonlinear nature of semi-active devices prevents the direct evaluation of Laplace transforms, frequency response functions are compiled from the computed time history response to sinusoidal and pulse-like seismic excitation. A simple semi-active control policy is used in regard to passive linear viscous damping and an optimal non-causal semi-active control strategy. The control strategy requires optimization. Euler-Lagrange equations are solved numerically during this procedure. The optimal closed-loop performance is evaluated for an idealized controllable dash-pot. A simplified single-degree-of-freedom model of an isolated bridge is used as numerical example. Two bridge cases are investigated. These cases are; bridge deck without the isolation bearing and bridge deck with the isolation bearing. To compare the performances of the passive and semi-active control cases, frequency dependent acceleration, velocity and displacement response transmissibility ratios Ta(w), Tv(w), and Td(w) are defined. To fully investigate the behavior of the structure subjected to the sinusoidal and pulse type excitations, different damping levels are considered. Numerical results showed that, under the effect of external excitation, bridge deck with semi-active control showed better structural performance than the passive bridge deck case.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1340573Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 452
 P. Peng, Z. Dongbin, Z. Yi, T. Yachun, and N. Xin, 2018. “Development of a tunable friction pendulum system for semi‐active control of building structures under earthquake ground motions,” Earthq Eng Struct D, vol. 47 no. 8, pp. 1706-1721, July 2018.
 S. Pourzeynali and A. Bahar, “Vertical vibration control of suspension bridges subjected to earthquake by semi-active MR dampers,” Scientia Iranica Transaction A Civil Engineering.vol. 24, no. 2, pp. 439-451, Apr 2017.
 U. Aldemir and H. P. Gavin, “Optimal semiactive control of structures with isolated base,” Int Appl Mech+, vol. 42, no. 2, pp. 235–240 Feb. 2006.
 C. Alhan and H.P. Gavin and U. Aldemir, “Optimal control:basis for performance comparison of passive and semiactive isolation systems,” J Eng Mech, vol. 132, no. 7, pp.705–713, July 2006.
 U. Aldemir, “Optimal control of structures with semiactive-tuned mass dampers,” J Sound Vib, vol. 266, no. 4, pp.847–874, Sept. 2003.
 A. Yanik, J. P. Pinelli and H. Gutierrez, “Control of a three-dimensional structure with magneto-rheological dampers,” in Proc. 11th International Conference on Vibration Problems. Lisbon, Portugal, 2013.
 M. Morales-Beltran, and P Joop, “Active and Semi-Active Strategies to Control Building Structures Under Large Earthquake Motion,” J Earthq Eng, vol. 19, no. 7, pp. 1086-1111, Oct. 2015.
 S. M. Hashemi, K. H. Haji, A. Karamodin, “Localized genetically optimized wavelet neural network for semi‐active control of buildings subjected to earthquake,” Struct Control Hlth, vol. 23, no.8, pp.1074-1087, Aug. 2016.
 G. Yan, F. Chen, Y. Wu, “A semi-active H∞ control strategy with application to the vibration suppression of nonlinear high-rise building under earthquake excitations,” Springer Plus, vol. 5 no. 1, pp. 1053, Dec. 2016.
 H. Ghaffarzadeh, H. A. Dehrod and N. Talebian, “Semi-active fuzzy control for seismic response reduction of building frames using variable orifice dampers subjected to near-fault earthquakes,” J Vib Control, vol.19, no.13, pp.1980-1998, Oct. 2013.
 Z. Zhou, S. P. Meng, J. Wu and Y. Zhao, “Semi-active control on long-span reticulated steel structures using MR dampers under multi-dimensional earthquake excitations,” Smart Struct and Syst, vol. 10, no. 6, pp.557-572, Dec.2012.
 B. Mehrparvar and T. Khoshnoudian, “Performance-based semi-active control algorithm for protecting base isolated buildings from near-fault earthquakes,” Earthq Eng Eng Vib, vol. 11, no.1, pp. 43-55, Mar 2012.
 S. J. Sun and G. Feng, “Numerical Simulation of Semi-Active Control during Hazard Evolution under Strong Earthquake in ABAQUS”, Appl Mech Mater, Vols. 204-208, pp. 2563-2568, 2012.
 J. G. Chase, L. R. Barroso and S. Hunt, “The impact of total acceleration control for semi-active earthquake hazard mitigation,” Eng Struct, vol. 26 no.2, pp.201-209, Jan. 2004.
 J. N. Yang and A. K Agrawal, “Semi-active hybrid control systems for nonlinear buildings against near-field earthquakes,” Eng Struct, vol. 24, no.3, pp. 271-280, Mar. 2002.
 R. Zhang, “Seismic isolation and Supplemental energy dissipation (Book style with paper title and editor),” in Bridge Engineering Handbook. W.F. Chen and L. Duan, Eds. Boca Raton: CRC Press, 2000, ch. 41.
 C. W. Lim, T. Y. Chung, S. J. Moon, “Adaptive bang–bang control for the vibration control of structures under earthquakes,” Earthq Eng Struct D, vol.32, no.13, pp.1977-1994, Nov. 2003.
 E. Renzi, M. De Angelis, “Semi‐active continuous control of base‐excited structures: An exploratory study,” Struct Control Hlth, vol.17, no.5, 563-589, Aug. 2010.
 U. Aldemir, “Predictive suboptimal semiactive control of earthquake response,” Struct Control Hlth, vol. 17, no.6, pp.654-674, Oct. 2010.
 H.P. Gavin, U. Aldemir, “Optimal control of earthquake response using semiactive isolation,” J Eng Mech-ASCE, vol.131, no. 8, pp.769–776, Aug. 2005.
 D. Karnopp, M. J. Crosby, R. A. Harwood, “Vibration control using semiactive force generators,” J Eng Ind-T ASME, vol.96, no.2, pp.619–626, 1974.
 A. Yanik, U. Aldemir, M. Bakioglu, “Seismic vibration control of three dimensional structures with a simple approach,” J Vib Eng Technol, vol.4, no.3, pp.235-247, Jun. 2016.
 A. Yanik, U. Aldemir, M. Bakioglu, “Control of structural response under earthquake excitation,” Comput-Aided Civ Inf., vol. 27, no.8, 620-638, Sep 2012.