Earthquake Engineering and Engineering Vibration

, Volume 8, Issue 4, pp 469–479 | Cite as

Design of controlled elastic and inelastic structures

  • A. M. ReinhornEmail author
  • O. Lavan
  • G. P. Cimellaro


One of the founders of structural control theory and its application in civil engineering, Professor Emeritus Tsu T. Soong, envisioned the development of the integral design of structures protected by active control devices. Most of his disciples and colleagues continuously attempted to develop procedures to achieve such integral control. In his recent papers published jointly with some of the authors of this paper, Professor Soong developed design procedures for the entire structure using a design — redesign procedure applied to elastic systems. Such a procedure was developed as an extension of other work by his disciples. This paper summarizes some recent techniques that use traditional active control algorithms to derive the most suitable (optimal, stable) control force, which could then be implemented with a combination of active, passive and semi-active devices through a simple match or more sophisticated optimal procedures. Alternative design can address the behavior of structures using Liapunov stability criteria. This paper shows a unified procedure which can be applied to both elastic and inelastic structures. Although the implementation does not always preserve the optimal criteria, it is shown that the solutions are effective and practical for design of supplemental damping, stiffness enhancement or softening, and strengthening or weakening.


active control integral control design — redesign procedure inelastic structures viscoelastic braces 


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  1. Cimellaro GP, Lavan O and Reinhorn AM (2009a), “Design of Passive Systems for Controlled Inelastic Structures,” Earthquake Engineering and Structural Dyamics., 38(6): 783–804.CrossRefGoogle Scholar
  2. Cimellaro GP, Soong TT and Reinhorn AM (2009b), “Integrated Design of Controlled Structural Systems,” ASCE/Journal of Structural Engineering, 135(7): 853–862.CrossRefGoogle Scholar
  3. Gluck N, Reinhorn A and Levy R (1996), “Design of Supplemental Dampers for Control of Structures,” ASCE/Journal of Structural Engineering, 122(12): 1394–1399.CrossRefGoogle Scholar
  4. Lavan O, Cimellaro GP and Reinhorn AM (2008), “A Noniterative Optimization Procedure for Seismic Weakening and Damping of Inelastic Structures,” ASCE/Journal of Structural Engineering, 134(10): 1638–1648.CrossRefGoogle Scholar
  5. Lavan O and Levy R (2009), “Simple Iterative Use of Lyapunov’s Solution for the Linear Optimal Seismic Design of Passive Devices in Framed Buildings,” Journal of Earthquake Engineering, 13(5): 650–666.Google Scholar
  6. Reinhorn AM, Soong TT, Riley MA, Lin RC, Aizawa S and Higashino M (1993), “Full Scale Implementation of Active Control Part II: Installation and Performance,” ASCE/Journal of Structural Engineering, 119(6): 1935–1960.CrossRefGoogle Scholar
  7. Sivaselvan M and Reinhorn A (2000), “Hysteretic Models for Deteriorating Inelastic Structures,” ASCE/Journal of Engineering Mechanics, 126(6): 633–640.CrossRefGoogle Scholar
  8. Smith MJ, Grigoriadis KM and Skelton R (1992), “Optimal Mix of Passive and Active Control in Structures,” Journal of Guidance, Control and Dynamics, 15(4): 912–919.CrossRefGoogle Scholar
  9. Soong TT (1990), Active Structural Control: Theory and Practice, Longman Scientific, London.Google Scholar
  10. Soong TT and Manolis GD (1987), “Active Structures,” ASCE/Journal of Structural Engineering, 113(11): 2290–2301.CrossRefGoogle Scholar
  11. Utkin VI (1992), “Sliding Modes in Control Optimization,” Springer: New York.Google Scholar
  12. Vanderplaats GN (2005), Numerical Optimization Techniques for Engineering Design, Vanderplaats Research & Developments, Inc., Colorado Spring, CO 80906.Google Scholar
  13. Yang JN, Akbarpour A and Askar G (1990), “Effect of Time Delay on Control of Seismic-Excited Buildings,” ASCE/Journal of Structural Engineering, 116(10): 2801–2814.CrossRefGoogle Scholar
  14. Yang JN, Wu JC and Agrawal AK (1995), “Sliding Mode Control of Nonlinear and Hysteretic Structures,” ASCE/Journal of Engineering Mechanics, 121(12): 1386–1390.CrossRefGoogle Scholar

Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration and Springer Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Dept. of Civil, Structural & Environmental EngineeringUniv. at Buffalo- The State University of NewYorkNewYorkUSA
  2. 2.Faculty of Civil and Environmental EngineeringTechnion-Israel Institute of TechnologyHaifaIsrael
  3. 3.Dept. of Structural & Geotechnical Engineering DISTRPolitecnico di TorinoTurinItaly
  4. 4.Dept. of Civil, Structural & Environmental EngineeringUniv. at Buffalo-The State Univ. of New YorkBuffaloUSA

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