Parameter identification of inelastic structures under dynamic loads

The generalized model of differential hysteresis contains 13 control parameters with which it can curvefit practically any hysteretic trace. Three identification algorithms are developed to estimate the control parameters of hysteresis for different classes of inelastic structures. These algorithms are based upon the simplex, extended Kalman filter, and generalized reduced gradient methods. Novel techniques such as global search and internal constraints are incorporated to facilitate convergence and stability. Effectiveness of the devised algorithms is demonstrated through simulations of two inelastic systems with both pinching and degradation characteristics in their hysteretic traces. Owing to very modest computing requirements, these identification algorithms may become acceptable as a design tool for mapping the hysteretic traces of inelastic structures.

[1]  Zhang Yigong,et al.  Nonlinear structural identification using extended kalman filter , 1994 .

[2]  Roger Ghanem,et al.  Structural System Identification. II: Experimental Verification , 1995 .

[3]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[4]  T. T. Baber,et al.  Modeling General Hysteresis Behavior and Random Vibration Application , 1986 .

[5]  Hejun Du,et al.  A new complex inverse eigensensitivity method for structural damping model identification , 1994 .

[6]  Mohammad Noori,et al.  Equivalent linearization of generally pinching hysteretic, degrading systems , 1996 .

[7]  Jitendra K. Tugnait Constrained signal restoration via iterated extended Kalman filtering , 1985, IEEE Trans. Acoust. Speech Signal Process..

[8]  Douglas M. Bates,et al.  Nonlinear Regression Analysis and Its Applications , 1988 .

[9]  Leon S. Lasdon,et al.  Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming , 1978, TOMS.

[10]  C. Loh,et al.  A three-stage identification approach for hysteretic systems , 1993 .

[11]  Masanobu Shinozuka,et al.  Fundamentals of system identification in structural dynamics , 1989 .

[12]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[13]  Greg Foliente,et al.  System Identification of Hysteretic Structures , 2001 .

[14]  M. Hoshiya,et al.  Structural Identification by Extended Kalman Filter , 1984 .

[15]  A. Charnes,et al.  Nonlinear Power of Adjacent Extreme Point Methods in Linear Programming , 1957 .

[16]  Greg Foliente,et al.  Hysteresis Modeling of Wood Joints and Structural Systems , 1995 .

[17]  K. Hjelmstad,et al.  Time-domain parameter estimation algorithm for structures. I: Computational aspects , 1995 .

[18]  R. Bouc Forced Vibration of Mechanical Systems with Hysteresis , 1967 .

[19]  R. Ghanem,et al.  Structural-System Identification. I: Theory , 1995 .