Benchmark Structural Control Problem for a Seismically Excited Highway Bridge

The seismically excited benchmark problem is based on the newly constructed 91/5 highway over-crossing in Southern California. The goal of this 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 3-D finite-element model is developed in MATLAB to represent the complex behavior of the full-scale highway crossing. The nonlinear behavior of center columns and isolation bearings are 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. Passive, semi-active and active 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.

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

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

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

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

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

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

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

[8]  Shirley J. Dyke,et al.  Benchmark problems in structural control : Part II : Active tendon system , 1998 .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[28]  Dionisio Bernal Discussion of "Scheme to Improve Numerical Analysis of Hysteretic Dynamic Systems" , 1991 .

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

[30]  B. Sp,et al.  State of the Art of Structural Control , 2003 .

[31]  Franklin Y. Cheng Matrix Analysis of Structural Dynamics: Applications and Earthquake Engineering , 2000 .

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

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

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

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

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

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

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