Browse > Article
http://dx.doi.org/10.12989/sss.2016.18.6.1111

Semi-active control of seismically excited structures with variable orifice damper using block pulse functions  

Younespour, Amir (Department of Civil Engineering, University of Tabriz)
Ghaffarzadeh, Hosein (Department of Civil Engineering, University of Tabriz)
Publication Information
Smart Structures and Systems / v.18, no.6, 2016 , pp. 1111-1123 More about this Journal
Abstract
The present study aims at proposing an analytical method for semi-active structural control by using block pulse functions. The performance of the resulting controlled system and the requirements of the control devices are highly dependent on the control algorithm employed. In control problems, it is important to devise an accurate analytical method with less computational expenses. Block pulse functions (BPFs) set proved to be the most fundamental and it enjoyed immense popularity in different applications in the area of numerical analysis in systems science and control. This work focused on the application of BPFs in the control algorithm concerning decrease the computational expenses. Variable orifice dampers (VODs) are one of the common semi-active devices that can be used to control the response of civil Structures during seismic loads. To prove the efficiency of the proposed method, numerical simulations for a 10-story shear building frame equipped with VODs are presented. The controlled response of the frame was compared with results obtained by controlling the frame by the classical clipped-optimal control method based on linear quadratic regulator theory. The simulation results of this investigation indicated the proposed method had an acceptable accuracy with minor computational expenses and it can be advantageous in reducing seismic responses.
Keywords
semi-active control; variable orifice damper (VOD); block pulse function (BPF); clipped-optimal control; linear quadratic regulator; seismic response;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Babolian, E. and Masouri, Z. (2008), "Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions", J. Comput. Appl. Math., 220(1-2), 51-57.   DOI
2 Bitaraf, M., Barroso, L.R. and Hurlebaus, S. (2010), "Adaptive control to mitigate damage impact on structural response", J. Intel. Mat. Syst. Str., 21(6), 607-619.   DOI
3 Bouafoura, M.K., Moussi, O. and Braiek, N.B. (2011), "A fractional state space realization method with block pulse basis", Signal Process., 91(3), 492-497.   DOI
4 Bryson, A.E. and Ho, Y.C. (1975), Applied Optimal Control, John Wiley & Sons, New York, USA.
5 Casciati, F., Rodellar, J. and Yildrim, U. (2012), "Active and semi-active control of structures-theory and applications: A review of recent advances", J. Intel. Mat. Syst. Str., 23(11), 1181-1195.   DOI
6 Cha, Y.J., Zhang, J., Agrawal, A.K., Dong, B., Friedman, A., Dyke, S.J. and Ricles, J. (2013), "Comparative studies of semi-active control strategies for MR dampers: Pure simulation and real-time hybrid tests", J. Struct. Eng. - ASCE, 139(7), 1237-1248.   DOI
7 Cimellaro, G.P., Lavan, O. and Reinhorn, A.M. (2009), "Design of passive systems for control of inelastic structures", Earthq. Eng. Struct. D., 38(6), 783-804.   DOI
8 Dyke, S.J., Spencer, B.F., Sain, M.K. and Carlson, J.D. (1996), "Modeling and control of magnetorheological dampers for seismic response reduction", Smart Mater. Struct., 5(5), 565-575.   DOI
9 Ghaffarzadeh, H. (2013), "Semi-active structural fuzzy control with MR dampers subjected to near-fault ground motions having forward directivity and fling step", Smart Struct. Syst., 12(6), 595-617.   DOI
10 Ghaffarzadeh, H. and Younespour, A. (2014), "Active tendons control of structures using block pulse functions", Struct. Control Health Monit., 21(12), 1453-1464.   DOI
11 Ghaffarzadeh, H. and Younespour, A. (2015), "Block pulse transform method for linearization of nonlinear SDOF systems", Nonlinear Eng., 4(2), 77-82.
12 Ghaffarzadeh, H., Dehroud, E.A. and Talebian, N. (2013), "Semi-active fuzzy control for seismic response reduction of building frames using variable orifice dampers subjected to near-fault earthquakes", J. Vib. Control, 19, 1980-1998.   DOI
13 Jansen, L.M. and Dyke, S.J. (2000), "Semi active control strategies for MR dampers: comparative study", J. Eng. Mech. - ASCE, 126(8), 795-803.   DOI
14 Jiang, Z.H. and Schaufelberger, W. (1992), Block Pulse Functions and Their Applications in Control Systems, Springer-Verlag Berlin Heidelberg.
15 Kamagata, S. and Kobori, T. (1994), "Autonomous adaptive control of active variable stiffness systems for seismic ground motion", Proceedings of the First World Conference on Structural Control, Pasadena, CA, TA4, August 3-5.
16 Kobori, T. and Minai, R. (1960), "Analytical study on active seismic response control (Seismic-Response-Controlled structure I)", Proceedings of the First World Conference on Structural Control, No.66, 257-260.
17 Sack, R.L. and Patten, W. (1993), "Semi-active hydraulic structural control", Proceedings of the International Workshop on Structural Control, Honolulu, Hawaii, USCPublication, No.CE-9311, August 5-7.
18 Luca, S.G. and Pastia, C. (2009), "Case study of variable orifice damper for seismic protection of structures", Bulletin of the Polytechnic Institute of Jassy, Construction Architecture Section, LV(LIX), 39-47.
19 Ohtori, Y., Christenson, R.E., Spencer, Jr., B.F. and Dyke, S.J. (2004), "Benchmark control problems for seismically excited nonlinearbuildings", J. Eng. Mech. - ASCE, 130(4), 366-385.   DOI
20 Patten, W., Sun, J., Li, G., Kuehn, J. and Song, G. (1999), "Field test of an intelligent stiffener for bridge sat the I-35Walnut Creek Bridge", Earthq. Eng. Struct. D., 28,109-126.   DOI
21 Spencer, Jr., B.F. and Nagarajaiah, S. (2003), "State of the art of structural control", J. Struct. Eng. - ASCE, 129(7), 845-56.   DOI
22 Yao, J.T.P. (1972), "Concept of structural control", J. Struct. Div. - ASCE, 98(7), 1567- 1574.
23 Yoshida, O., Dyke, S.J., Giacosa, L.M. and Truman, K.Z. (2002), "Torsional response control of a symmetric buildings using smart dampers", Proceedings of the 15th ASCE Engineering Mechanics Conference, NewYork, NY, June 2-5.
24 Zhu, J.M. and Lu, Y.Z. (1988), "Hierarchical optimal control for distributed parameter systems via block pulse operator", Int. J. Control, 48(2), 685-703.   DOI