Benchmark structural control problem for a seismically excited highway bridge—Part I: Phase I Problem definition

This paper presents the problem definition of the benchmark structural control problem for the seismically excited highway bridge. The benchmark problem is based on the newly constructed 91/5 highway over-crossing in southern California. The goal of this benchmark effort is to develop a standardized model of a highway bridge using which competing control strategies, including devices, algorithms and sensors, can be evaluated comparatively. To achieve this goal, a 3D finite-element model is developed in MATLAB to represent the complex behavior of the full-scale highway over-crossing. The nonlinear behavior of center columns and isolation bearings is considered in formulating the bilinear force–deformation relationship. The effect of soil–structure interaction is considered by modeling the interaction by equivalent spring and dashpot. The ground motions are considered to be applied simultaneously in two directions. A MATLAB-based nonlinear structural analysis tool has been developed and made available for nonlinear dynamic analysis. Control devices are assumed to be installed between the deck and the end abutments of the bridge. Evaluation criteria and control constraints are specified for the design of controllers. Passive, semi-active and active devices and algorithms can be used to study the benchmark model. The participants in this benchmark study are required to define their control devices, sensors and control algorithms, evaluate and report the results of their proposed control strategies. Copyright © 2009 John Wiley & Sons, Ltd.

[1]  Nicos Makris,et al.  Seismic Response Analysis of a Highway Overcrossing Equipped with Elastomeric Bearings and Fluid Dampers , 2004 .

[2]  Satish Nagarajaiah,et al.  Control of Sliding‐Isolated Bridge with Absolute Acceleration Feedback , 1993 .

[3]  Shirley J. Dyke,et al.  An experimental study of MR dampers for seismic protection , 1998 .

[4]  Michael C. Constantinou,et al.  Sliding Isolation System for Bridges: Analytical Study , 1992 .

[5]  Satish Nagarajaiah,et al.  Semi‐active control of sliding isolated bridges using MR dampers: an experimental and numerical study , 2005 .

[6]  Gloria Terenzi,et al.  Dynamics of SDOF Systems with Nonlinear Viscous Damping , 1999 .

[7]  Chung Bang Yun.  Sliding Mode Fuzzy Control for Smart Base-Isolated Building , 2004 .

[8]  Bijan Samali,et al.  Benchmark Problem for Response Control of Wind-Excited Tall Buildings , 2004 .

[9]  Erik A. Johnson,et al.  Smart base‐isolated benchmark building. Part I: problem definition , 2006 .

[10]  Peter J. Moss,et al.  Seismic Design of Bridges on Lead-Rubber Bearings , 1987 .

[11]  Shirley J. Dyke,et al.  Application of magnetorheological dampers to seismically excited structures , 1999 .

[12]  Masanobu Shinozuka,et al.  Viscoelastic Dampers at Expansion Joints for Seismic Protection of Bridges , 2000 .

[13]  Emmanuel A. Maragakis,et al.  Effect of base isolation on the seismic response of multi-column bridges , 1999 .

[14]  T. T. Soong,et al.  STRUCTURAL CONTROL: PAST, PRESENT, AND FUTURE , 1997 .

[15]  Jann N. Yang,et al.  Optimal Critical-Mode Control of Building under Seismic Load , 1982 .

[16]  Shirley J. Dyke,et al.  Benchmark Control Problems for Seismically Excited Nonlinear Buildings , 2004 .

[17]  T. T. Soong,et al.  Structural Control: Basic Concepts and Applications , 1996 .

[18]  Thomas K. Caughey,et al.  The Benchmark Problem , 1998 .

[19]  Shirley J. Dyke,et al.  Phase II Benchmark Control Problem for Seismic Response of Cable-Stayed Bridges , 2003 .

[20]  Anil K. Agrawal,et al.  Near-field effects on seismically excited highway bridge equipped with nonlinear viscous dampers , 2005 .

[21]  Murat Dicleli.  Seismic Design of Lifeline Bridge using Hybrid Seismic Isolation , 2002 .

[22]  Andreas Antoniou,et al.  Digital Filters: Analysis, Design and Applications , 1979 .

[23]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[24]  Stuart S. Chen,et al.  FUNDAMENTAL CONSIDERATIONS FOR THE DESIGN OF NON-LINEAR VISCOUS DAMPERS , 1999 .

[25]  Billie F. Spencer,et al.  Modeling and Control of Magnetorheological Dampers for Seismic Response Reduction , 1996 .

[26]  Shirley J. Dyke,et al.  Next Generation Bench-mark Control Problems for Seismically Excited Buildings , 1999 .

[27]  Roberto Villaverde,et al.  Closure of "Scheme to Improve Numerical Analysis of Hysteretic Dynamic Systems" , 1989 .

[28]  Giovanni Solari,et al.  Stochastic analysis of the linear equivalent response of bridge piers with aseismic devices , 1999 .

[29]  Eric M. Lui.  Matrix Analysis of Structural Dynamics: Applications and Earthquake Engineering , 2001 .

[30]  Shirley J. Dyke,et al.  Benchmark problems in structural control: part I—Active Mass Driver system , 1998 .

[31]  Michael C. Constantinou,et al.  Study of elastoplastic bridge seismic isolation system , 1997 .

[32]  Ping Tan,et al.  Benchmark structural control problem for a seismically excited highway bridge—Part II: Phase I Sample control designs , 2009 .

[33]  Erik A. Johnson,et al.  Structural control benchmark problem: Phase II—Nonlinear smart base-isolated building subjected to near-fault earthquakes , 2008 .

[34]  Billie F. Spencer,et al.  Frequency domain optimal control strategies for aseismic protection , 1994 .

[35]  Michael C. Constantinou,et al.  Sliding Isolation System for Bridges: Experimental Study , 1992 .

[36]  Shirley J. Dyke,et al.  Experimental verification of multiinput seismic control strategies for smart dampers , 2001 .

[37]  Shirley J. Dyke,et al.  Microcomputers Implementation of Digital Control Strategies for Structural Response Reduction , 1995 .

[38]  Michael C. Constantinou,et al.  TESTING OF FRICTION PENDULUM SEISMIC ISOLATION BEARINGS FOR BRIDGES , 1997 .

[39]  T. Hughes,et al.  Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics , 1978 .

[40]  S Unjoh,et al.  SEISMIC RESPONSE CONTROL OF BRIDGES BY VARIABLE DAMPERS , 1994 .

[41]  Ping Tan,et al.  Benchmark structural control problem for a seismically excited highway bridge—Part III: Phase II Sample controller for the fully base‐isolated case , 2009 .

[42]  Shirley J. Dyke,et al.  PHASE I BENCHMARK CONTROL PROBLEM FOR SEISMIC RESPONSE OF CABLE-STAYED BRIDGES , 2003 .

[43]  Erik A. Johnson,et al.  Smart base‐isolated benchmark building part IV: Phase II sample controllers for nonlinear isolation systems , 2006 .

[44]  Kazuhiko Kawashima,et al.  Hybrid control of seismic‐excited bridge structures , 1995 .

[45]  Shirley J. Dyke,et al.  Role of Control-Structure Interaction in Protective System Design , 1995 .

[46]  Ping Tan,et al.  Benchmark Structural Control Problem for a Seismically Excited Highway Bridge , 2006 .

[47]  B. F. Spencer,et al.  STATE OF THE ART OF STRUCTURAL CONTROL , 2003 .