Vibration Control of Two Adjacent Structures Using a Non-Linear Damping System

The advantage of using non-linear passive damping 
system in vibration control of two adjacent structures is investigated 
under their base excitation. The base excitation is El Centro 
earthquake record acceleration. The damping system is considered as 
an optimum and effective non-linear viscous damper that is 
connected between two adjacent structures. A MATLAB program is 
developed to produce the stiffness and damping matrices and to 
determine a time history analysis of the dynamic motion of the 
system. One structure is assumed to be flexible while the other has a 
rule as laterally supporting structure with rigid frames. The response 
of the structure has been calculated and the non-linear damping 
coefficient is determined using optimum LQR algorithm in an 
optimum vibration control system. The non-linear parameter of 
damping system is estimated and it has shown a significant advantage 
of application of this system device for vibration control of two 
adjacent tall building.





References:
[1] Patel, C. C., Jangid, R. S.; "Optimum Parameter of Viscous Damper for
Damped Adjacent Coupled System”; Journal of Civil Engineering and
Science, Vol. 1 No. 1, 2012.
[2] V V Bertro. "Observation of Structural Pounding”, Proceedings of the
International Conference on the Mexico Earthquake 1985, New York:
(ASCE); 264-278, 1987.
[3] K, Kasai and B. F. Maison, "Dynamics of Pounding When Two
Buildings Collide”, Earthquake Engineering and Structural Dynamics;
21: 771-786, 1992.
[4] K. Iwanami, K. Suzuki and K. Seto. "Studies of the Vibration Control
Method of Parallel Structures”, Transactions of the JSME, 86-0247A:
3063 – 3072, 1986.
[5] B. Westermo. "The Dynamics of Inter-Structural Connection to Prevent
Pounding”, Earthquake Engineering and Structural Dynamics; 18: 687-
699, 1989.
[6] J. E. Luco and De Barros FCP. "Optimal Damping between Two
Adjacent Elastic Structures”, Earthquake Engineering and Structural
Dynamics; 27: 649-659, 1998.
[7] Y. L. Xu, Q. He and JM. Ko. "Dynamic Response of Damper-Connected
Adjacent Structures under Earthquake Excitation”, Engineering
Structures, 21: 135-148, 1999.
[8] WS. Zhang and YL. Xu. "Dynamic Characteristics and Seismic
Response of Adjacent Structures Linked by Discrete Dampers”,
Earthquake Engineering and Structural Dynamic, 28: 1163-1185, 1999.
[9] A V. Bhaskararao and R S Jangid. "Harmonic Response of Adjacent
Structures Connected with A friction
[10] Franklin, Y. C, Hongping, J, Kangyu, L, (2008) "Smart Structures”;
Taylor & Francis Group, LLC, NW.
[11] Terenzi G, (1999), "Dynamics of SDOF System with Non-linear
Viscous Damping”; ASCE Journal of engineering mechanics; 125(8):
956-963.
[12] Jacob Gluck, Yuri Ribakov (2, 2001) "High Efficiency Viscous
Damping System with Amplifying Braces for Control of Multistory
Structures Subjected to Earthquake” European Earthquake Engineering.
[13] Gluck, J. and Reinhorn, A.M, (2001)." Active Viscous Damping System
for Control of MDOF Structures"; Earthquake Engineering and
structural dynamics. Dyn.; 30:195-212.
[14] Y.L.XU* and TENG. (2002) "Optimum Design of Active/Passive
Control Devices for Tall Buildings under Earthquake Excitation”. The
Structural Design of Tall Buildings – 11,109-127
[15] Ogata K. (1967). "State Space Analysis of Control System”. Engle
Wood Cliffs N. J. Prentic Hall Inc-1967
[16] Ogata K. (1982). "Modern Control Engineering " – Engle Wood Cliffs
N.J-Prentice Hall –Inc
[17] Soong T.T, (1987) "Active Structural Control in Civil Engineering”
Technical Report NCEER-87-0023
[18] MATLAB (1993) - High Performance Numeric Computation and
Visualization Software. User’s Guide. The Math Works Inc.