Welcome to Open Science
Contact Us
Home Books Journals Submission Open Science Join Us News Unsubscribe Page
New Active and Semi-Active Isolators for Structures Subjected to a Strong Earthquake
Current Issue
Volume 2, 2015
Issue 2 (March)
Pages: 9-20   |   Vol. 2, No. 2, March 2015   |   Follow on         
Paper in PDF Downloads: 52   Since Aug. 28, 2015 Views: 850   Since Aug. 28, 2015
Tahar Latreche, Department of Civil Engineering, University of Tebessa, Tebessa, Algeria.
In this paper, an optimal control matrix, based on the modified differential equation of Riccati, will be formulated, for the active isolation analysis of structures subjected to earthquakes, and a passive mechanical isolator device which is will be also proposed. The combination of the active and the passive isolators compose a Semi-Active Variable Stiffness and Friction Isolator (SAVSFI) model which proposed for the nonlinear analysis of structures subjected to earthquakes. The active feedback gain is determined in terms of the optimal control matrix for which with the passive device model present indeed, new propositions to reduce actively and semi-actively the effect of earthquakes on the responses of civil engineering structures. Three examples of structures (two buildings and a bridge) have been analyzed for the three uncontrolled, active-controlled and semi-active-controlled cases and subjected to a strong earthquake. The results obtained either displacements or stresses for the active and the semi-active cases, show good and excellent reductions, in comparison with those deducted for the uncontrolled cases. This good reduction of the effect of such strong earthquake would be turns to the good formulation of the optimal active feedback gain computed and to the good passive mechanical model proposed.
Modified Riccati Equation, Nonlinear Quadratic Regulator Method, Active Control, Semi-Active Isolator, Nonlinear Analysis, Seismic Excitations
H. M. Amman, H. Neudecker, Numerical solutions of algebraic Riccati equation. J. of Economic Dynamics and Control, no. 21, pp. 363 - 369, 1997.
B. D. O. Anderson, J. B. Moore, Linear optimal control. Prentice-Hall, 1971.
B. D. O. Anderson, J. B. Moore, Optimal Filtering. Prentice-Hall, 1979.
B. D. O. Anderson, J. B. Moore, Optimal control, linear quadratic methods. Prentice-Hall, 1989.
Y. Arfiadi, Optimal passive and active control mechanisms for seismically excited buildings. PhD Thesis, University of Wollongong, 2000.
W. F. Arnold, A. J. Laub, Generalized eigenproblem algorithms and software for algebraic Riccati equations. Proceedings of IEEE, vol. 72, no. 12, 1984.
A. Astolfi, L. Marconi, Analysis and design of nonlinear control systems. Springer Publishers, 2008.
P. Benner et al., Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. Numerical Linear Algebra with Applications, no. 15, pp. 755 – 777, 2008.
D. L. Elliott, Bilinear control systems. Springer Publishers, 2009.
P. H. Geering, Optimal control with engineering applications. Springer Publishers, 2007.
M. S. Grewal, A. P. Andrews, Kalman Filtering: Theory and practice. John Wiley, 2008.
L. Grune, J. Pannek, Nonlinear model predictive control. Springer Publishers, 2011.
A. Isidori, Nonlinear control systems 2. Springer Publishers, 1999.
P. L. Kogut, G. R. Leugering, Optimal control problems for practical differential equations on reticulated domains. Springer Publishers, 2011.
A., Krishnamoorthy, Variable curvature pendulum isolator and viscous fluid damper for seismic isolation of structures, J. Vibration and Control, no. 17, pp. 1779–1790, 2010.
T. Latreche, A discrete-time algorithm for the resolution of the Nonlinear Riccati Matrix Differential Equation for the optimal control. American J. of Civil Engineering, no. 2, pp. 12-17, 2014.
T. Latreche, A discrete-time quasi-theoretical solution of the modified Riccati matrix algebraic equation, Automation, Control and Intelligent Systems, no. 5, pp. 78-83, 2014.
T. Latreche, A numerical algorithm for the resolution of scalar and matrix algebraic equations using Runge-Kutta method. Applied and Computational Mathematics, no. 3, pp. 68-74, 2014.
A. Locatelli, Optimal control: an introduction. Birkhäuser Virlag, 2004.
L. Y., Lu et al., Modeling and experimental verification of a variable-stiffness isolation system using a leverage mechanism, J. Vibration and Control, no. 17, pp. 1869–1885, 2011.
S., Nagarajaiah et al., Nonlinear response spectra of smart sliding isolated structures with independently MR and dampers and variable stiffness SAIVS system, Structural Engineering and Mechanics, no. 24, pp. 375-393, 2006.
T. K. Nguyen, Numerical solution of discrete-time algebraic Riccati equation. Website: http://www.ictp.trieste.it/~pub-off
A. Preumont, Vibration control of active structures: An Introduction. Kluwer Academic Publishers, 2002.
I. L. Vér, L. L. Beranek, Noise and vibration control engineering. John Wiley, 2006.
S. L. William, Control system: Fundamentals. Taylor and Francis, 2011.
Open Science Scholarly Journals
Open Science is a peer-reviewed platform, the journals of which cover a wide range of academic disciplines and serve the world's research and scholarly communities. Upon acceptance, Open Science Journals will be immediately and permanently free for everyone to read and download.
Office Address:
228 Park Ave., S#45956, New York, NY 10003
Phone: +(001)(347)535 0661
Copyright © 2013-, Open Science Publishers - All Rights Reserved