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

Authors: Soltani Amir, Wang Xuan

Abstract:

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.

Keywords: Structural Control, Active and passive damping, Vibration control, Seismic isolation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1090950

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.