Seismic Control of Tall Building Using a New Optimum Controller Based on GA
This paper emphasizes on the application of genetic algorithm (GA) to optimize the parameters of the TMD for achieving the best results in the reduction of the building response under earthquake excitations. The Integral of the Time multiplied Absolute value of the Error (ITAE) based on relative displacement of all floors in the building is taken as a performance index of the optimization criterion. The problem of robustly TMD controller design is formatted as an optimization problem based on the ITAE performance index to be solved using GA that has a story ability to find the most optimistic results. An 11–story realistic building, located in the city of Rasht, Iran is considered as a test system to demonstrate effectiveness of the proposed GA based TMD (GATMD) controller without specifying which mode should be controlled. The results of the proposed GATMD controller are compared with the uncontrolled structure through timedomain simulation and some performance indices. The results analysis reveals that the designed GA based TMD controller has an excellent capability in reduction of the seismically excited example building and the ITAE performance, that is so for remains as unknown, can be introduced a new criteria - method for structural dynamic design.
[1] T.K. Datta, Control of dynamic response of structures. Proc. of the
Indo-US Symposium on Emerging Trends in Vibration and Noise
Engineering, 1996, pp.18-20.
[2] R. Randa, T.T. Soong, Parametric study and simplified design of mass
dampers. Engineering Structures, Vol. 20, No. 3, 1998, pp. 193 -204.
[3] M. Aldawod, B. Samali, F. Naghady, CS. Kwok Kenny, Active control
of along wind response of tall building using a fuzzy controller,
Engineering Structures, Vol. 23, 2001, pp. 1512 - 1522.
[4] T.T. Soong, R. Hanson, Recent developments in active and hybrid
control research in US. Proc. of the Int. Workshop on Structural Control,
1993, pp.483-490
[5] S. Sarbjeet, TK. Datt, Open closed loop linear control of building
frames under seismic excitation, J. Structure Engineering, ASCE, Vol.
124, No. 1, 1998, pp. 43-51.
[6] W. M. Jenkins, Towards structural optimization via the genetic
algorithm, Engineering Structures, Vol. 19, No. 4, 1997, pp. 302-308.
[7] A. Kareem, S. Kline, Performance of multiple tuned mass dampers
under random loading, J. of Structure Engineering, ASCE, Vol. 121,
No. 2, 1995, pp. 348-361.
[8] F. Sadek, B. Mohraj, A.W. Taylor, R.M. Chung, A method of
estimating the parameters of tuned mass dampers for seismic
application. Earthquake Engineering and Structure Dynamics, Vol. 26,
1997, pp. 617-635.
[9] J.N. Yang, Recent advances in active control of civil engineering
structures. Engineering Mechanics, Vol. 3, No. 4, 1988.
[10] B. Samali, M. Al-Dawod, Performance of a five-storey benchmark
model using an active tuned mass damper and a fuzzy controller. Int. J.
Structure Engineering, Vol. 25, 2003, pp. 1597-1610.
[11] Q.P. Ha, Active structural control using dynamic out put feed back
sliding mode. Proc. of the 2001 Australian Conf. on Robotics and
Automation, Sydney, 2001, pp. 14-15.
[12] MD. Symans, W. Kelly, Fuzzy logic control of bridge structures using
intelligent semi-active seismic isolation systems, Earthquake
Engineering and Structure Dynamics, Vol. 28, 1999, pp. 37-60.
[13] S. Sarbjeet, TK. Datta, Nonlinear sliding mode control of seismic
response of building frames, J. Engineering Mechanics, ASCE, Vol.
126, No. 6, 2000, pp. 340-347.
[14] M.N. Hadi, Y. Arfiadi, Optimum design of absorber for MDOF
structure, J. Structure Engineering,, Vol. 124, No. 11, 1999, pp. 1272-
1279.
[15] S. Pourzeynali, H.H. Lavasani, A.H. Modarayi, Active control of high
rise building structures using fuzzy logic and genetic, J. Structure
Engineering, Vol. 29, 2007, pp. 346-357.
[16] M.N. Hadi, Y.Arfiadi, Optimum direct (static) output feedback
controller using real coded genetic algorithm, Computers and Structures,
Vol. 79, 2001, pp. 1625-1634.
[17] H. Shayeghi, H. Eimani, H.A. Shayanfar, A. Shayeghi, PSO based
TMD design for vibration control of tall building structures , Proc. of the
Int. Conf. on Artificial Intelligence (ICAI 09), Las Vegas, U.S.A., 2009.
[18] RW. Clough, J. Penzien, Dynamics of structures, 2nd ed., New York,
Mc Graw- Hill, 1993.
[19] M. Abdullah, A. Richardson, Placement of sensor/actuators on civil
structures using genetic algorithms, Earthquake Engineering and
Structure Dynamics, 2001,pp. 1167-1184.
[20] F. Amini, A. Maleki, F. Danesh, Optimization of active control of
structures by pole assignment method using genetic algorithm. J.
Engineering, Vol.2, No.3, 2009, pp. 19-42.
[21] K. Kanai, An empirical formula for the spectrum of strong earthquake
motions, Bulletin Earthquake Research Institute, University of Tokyo,
Vol. 39, 1961, pp. 85-95.
[22] www.mathworks.com, MATLAB software, 2008.
[23] H. Shayeghi, H. A. Shayanfar, A. Jalili, Multi stage fuzzy PID power
system automatic generation controller in deregulated environments,
Energy Conversion and Management, Vol. 47,2006,pp. 2829-2845.
[24] H. Shayeghi, H. A. Shayanfar, A. Jalili, A robust modified GA based
Multi stage fuzzy LFC, Energy Conversion and Management, Vol. 48,
pp. 1656-1670, 2008.
[1] T.K. Datta, Control of dynamic response of structures. Proc. of the
Indo-US Symposium on Emerging Trends in Vibration and Noise
Engineering, 1996, pp.18-20.
[2] R. Randa, T.T. Soong, Parametric study and simplified design of mass
dampers. Engineering Structures, Vol. 20, No. 3, 1998, pp. 193 -204.
[3] M. Aldawod, B. Samali, F. Naghady, CS. Kwok Kenny, Active control
of along wind response of tall building using a fuzzy controller,
Engineering Structures, Vol. 23, 2001, pp. 1512 - 1522.
[4] T.T. Soong, R. Hanson, Recent developments in active and hybrid
control research in US. Proc. of the Int. Workshop on Structural Control,
1993, pp.483-490
[5] S. Sarbjeet, TK. Datt, Open closed loop linear control of building
frames under seismic excitation, J. Structure Engineering, ASCE, Vol.
124, No. 1, 1998, pp. 43-51.
[6] W. M. Jenkins, Towards structural optimization via the genetic
algorithm, Engineering Structures, Vol. 19, No. 4, 1997, pp. 302-308.
[7] A. Kareem, S. Kline, Performance of multiple tuned mass dampers
under random loading, J. of Structure Engineering, ASCE, Vol. 121,
No. 2, 1995, pp. 348-361.
[8] F. Sadek, B. Mohraj, A.W. Taylor, R.M. Chung, A method of
estimating the parameters of tuned mass dampers for seismic
application. Earthquake Engineering and Structure Dynamics, Vol. 26,
1997, pp. 617-635.
[9] J.N. Yang, Recent advances in active control of civil engineering
structures. Engineering Mechanics, Vol. 3, No. 4, 1988.
[10] B. Samali, M. Al-Dawod, Performance of a five-storey benchmark
model using an active tuned mass damper and a fuzzy controller. Int. J.
Structure Engineering, Vol. 25, 2003, pp. 1597-1610.
[11] Q.P. Ha, Active structural control using dynamic out put feed back
sliding mode. Proc. of the 2001 Australian Conf. on Robotics and
Automation, Sydney, 2001, pp. 14-15.
[12] MD. Symans, W. Kelly, Fuzzy logic control of bridge structures using
intelligent semi-active seismic isolation systems, Earthquake
Engineering and Structure Dynamics, Vol. 28, 1999, pp. 37-60.
[13] S. Sarbjeet, TK. Datta, Nonlinear sliding mode control of seismic
response of building frames, J. Engineering Mechanics, ASCE, Vol.
126, No. 6, 2000, pp. 340-347.
[14] M.N. Hadi, Y. Arfiadi, Optimum design of absorber for MDOF
structure, J. Structure Engineering,, Vol. 124, No. 11, 1999, pp. 1272-
1279.
[15] S. Pourzeynali, H.H. Lavasani, A.H. Modarayi, Active control of high
rise building structures using fuzzy logic and genetic, J. Structure
Engineering, Vol. 29, 2007, pp. 346-357.
[16] M.N. Hadi, Y.Arfiadi, Optimum direct (static) output feedback
controller using real coded genetic algorithm, Computers and Structures,
Vol. 79, 2001, pp. 1625-1634.
[17] H. Shayeghi, H. Eimani, H.A. Shayanfar, A. Shayeghi, PSO based
TMD design for vibration control of tall building structures , Proc. of the
Int. Conf. on Artificial Intelligence (ICAI 09), Las Vegas, U.S.A., 2009.
[18] RW. Clough, J. Penzien, Dynamics of structures, 2nd ed., New York,
Mc Graw- Hill, 1993.
[19] M. Abdullah, A. Richardson, Placement of sensor/actuators on civil
structures using genetic algorithms, Earthquake Engineering and
Structure Dynamics, 2001,pp. 1167-1184.
[20] F. Amini, A. Maleki, F. Danesh, Optimization of active control of
structures by pole assignment method using genetic algorithm. J.
Engineering, Vol.2, No.3, 2009, pp. 19-42.
[21] K. Kanai, An empirical formula for the spectrum of strong earthquake
motions, Bulletin Earthquake Research Institute, University of Tokyo,
Vol. 39, 1961, pp. 85-95.
[22] www.mathworks.com, MATLAB software, 2008.
[23] H. Shayeghi, H. A. Shayanfar, A. Jalili, Multi stage fuzzy PID power
system automatic generation controller in deregulated environments,
Energy Conversion and Management, Vol. 47,2006,pp. 2829-2845.
[24] H. Shayeghi, H. A. Shayanfar, A. Jalili, A robust modified GA based
Multi stage fuzzy LFC, Energy Conversion and Management, Vol. 48,
pp. 1656-1670, 2008.
@article{"International Journal of Architectural, Civil and Construction Sciences:60216", author = "A. Shayeghi and H. Eimani Kalasar and H. Shayeghi", title = "Seismic Control of Tall Building Using a New Optimum Controller Based on GA", abstract = "This paper emphasizes on the application of genetic algorithm (GA) to optimize the parameters of the TMD for achieving the best results in the reduction of the building response under earthquake excitations. The Integral of the Time multiplied Absolute value of the Error (ITAE) based on relative displacement of all floors in the building is taken as a performance index of the optimization criterion. The problem of robustly TMD controller design is formatted as an optimization problem based on the ITAE performance index to be solved using GA that has a story ability to find the most optimistic results. An 11–story realistic building, located in the city of Rasht, Iran is considered as a test system to demonstrate effectiveness of the proposed GA based TMD (GATMD) controller without specifying which mode should be controlled. The results of the proposed GATMD controller are compared with the uncontrolled structure through timedomain simulation and some performance indices. The results analysis reveals that the designed GA based TMD controller has an excellent capability in reduction of the seismically excited example building and the ITAE performance, that is so for remains as unknown, can be introduced a new criteria - method for structural dynamic design.
", keywords = "Tuned Mass Damper, Genetic Algorithm, TallBuildings, Structural Dynamics.", volume = "3", number = "9", pages = "343-8", }
