NONPARAMETRIC IDENTIFICATION OF NONLINEAR HYSTERETIC SYSTEMS

A nonparametric identification method for nonlinear hysteretic systems is presented. Making use of the Duhem hysteresis operator, the multivalued relationship of hysteretic restoring force with respect to displacement and velocity of the phase plane is mapped onto two single-valued surfaces in an appropriate subspace in terms of the state variables of displacement and hysteretic restoring force. The functions describing the surfaces need not be specified in specific expressions, so that both the form and parameters of the functions can be fine-tuned to match experimental results. They are identified by fitting the surfaces with the generalized orthogonal polynomials in terms of displacement and hysteretic restoring force. The proposed method is applied to the modeling of hysteretic behavior of a wire-cable vibration isolator from experimental data. Excellent agreement between the predicted and experimental hysteresis loops is obtained. based on the established hysteretic model, the dynamic response characteristics of a wire-cable isolation system are evaluated.

[1]  Louis Jezequel,et al.  Improvement of a Nonparametric Identification Procedure Used in Nonlinear Dynamics , 1989 .

[2]  Edward F. Crawley,et al.  Identification of nonlinear structural elements by force-state mapping , 1984 .

[3]  A. Visintin.  Differential models of hysteresis , 1994 .

[4]  R. Stanway,et al.  Identification of nth-power velocity damping , 1986 .

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

[6]  S. Masri,et al.  Nonparametric Identification of Nearly Arbitrary Nonlinear Systems , 1982 .

[7]  Shirley J. Dyke,et al.  PHENOMENOLOGICAL MODEL FOR MAGNETORHEOLOGICAL DAMPERS , 1997 .

[8]  Michael C. Constantinou,et al.  Study of wire rope systems for seismic protection of equipment in buildings , 1992 .

[9]  Edward F. Crawley,et al.  Force-state mapping identification of nonlinear joints , 1987 .

[10]  Fabrizio Vestroni,et al.  IDENTIFICATION OF HYSTERETIC OSCILLATORS UNDER EARTHQUAKE LOADING BY NONPARAMETRIC MODELS , 1995 .

[11]  Jan R. Wright,et al.  Estimation of mass and modal mass in the identification of non-linear single and multi degree of freedom systems using the force-state mapping approach , 1992 .

[12]  Joseph K. Hammond,et al.  Modeling and response of bilinear hysteretic systems , 1987 .

[13]  M. A. Bhatti.  Dual Criteria Approach for Optimal Design of Earthquake-Resistant Structural Systems , 1981 .

[14]  E. J. Graesser,et al.  Shape‐Memory Alloys as New Materials for Aseismic Isolation , 1991 .

[15]  Luis Calado,et al.  Hysteretic behaviour of steel members: Analytical models and experimental tests , 1994 .

[16]  Michael L. Tinker,et al.  Damping phenomena in a wire rope vibration isolation system , 1992 .

[17]  Sami F. Masri,et al.  A Nonparametric Identification Technique for Nonlinear Dynamic Problems , 1979 .

[18]  Nicos Makris,et al.  Analysis and Design of ER Damper for Seismic Protection of Structures , 1996 .

[19]  S. Lau,et al.  Steady-state oscillation of hysteretic differential model. I: Response analysis , 1994 .

[20]  Yi-Qing Ni,et al.  IDENTIFICATION OF NON-LINEAR HYSTERETIC ISOLATORS FROM PERIODIC VIBRATION TESTS , 1998 .

[21]  Ian D. Aiken,et al.  AN ANALYTICAL HYSTERESIS MODEL FOR ELASTOMERIC SEISMIC ISOLATION BEARINGS , 1997 .

[22]  P. Dahl.  Solid Friction Damping of Mechanical Vibrations , 1976 .

[23]  Sami F. Masri,et al.  A hybrid parametric/nonparametric approach for the identification of nonlinear systems , 1994 .

[24]  Mayergoyz,et al.  Mathematical models of hysteresis. , 1986, Physical review letters.

[25]  S. R. Ibrahim,et al.  A Nonparametric Identification Technique for a Variety of Discrete Nonlinear Vibrating Systems , 1985 .

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

[27]  James M. Kelly,et al.  Experimental and analytical studies of shape-memory alloy dampers for structural control , 1995, Smart Structures.

[28]  R. Masiani,et al.  Periodic and Non-Periodic Oscillations of a Class of Hysteretic Two Degree of Freedom Systems , 1997 .

[29]  M. A. Al-Hadid,et al.  Developments in the force-state mapping technique for non-linear systems and the extension to the location of non-linear elements in a lumped-parameter system , 1989 .

[30]  Y. Wen.  Method for Random Vibration of Hysteretic Systems , 1976 .

[31]  Paolo Nistri,et al.  Mathematical Models for Hysteresis , 1993, SIAM Rev..

[32]  Sami F. Masri,et al.  Modeling and control of an electrorheological device for structural control applications , 1995 .

[33]  Wilfred D. Iwan,et al.  An identification methodology for a class of hysteretic structures , 1992 .

[34]  F. E. Udwadia,et al.  Nonparametric identification of a class of nonlinear close-coupled dynamic systems , 1981 .

[35]  K. Kayvani,et al.  Hysteretic modelling of tubular members and offshore platforms , 1996 .

[36]  Robert D. Hanson,et al.  Electrorheological Dampers, Part II: Testing and Modeling , 1996 .