Generalized Masing Approach to Modeling Hysteretic Deteriorating Behavior

The modeling of hysteretic behavior is of significant importance in several areas, including civil engineering and mechanics. This paper focuses on finding a method for modeling hysteretic behavior that is simple and efficient in terms of capturing the response and retaining the memory, if any, and at the same time is proper for use in physically meaningful modeling and identification of the system with few parameters. A distributed-element model (DEM) capable of capturing deterioration is used as a starting point, and its characteristics are studied, with a particular focus on the way memory is stored in the model. It is observed that keeping track of the response at a few of the past extremes of input displacement, called the Sequence of Dominant Alternating Extremes, is enough for representing the effect of history. The relation of this behavior to a generalized Masing model is studied. A set of rules is proposed which is a generalization of the Masing rules and can capture the deteriorating (or nondeteriorating) response of DEMs with any distribution of element yield displacement thresholds to any arbitrary loading. The presented formulation provides a framework for efficient modeling and identification of dynamic models of very different characteristics with only a few physically meaningful parameters.

[1]  Yi-Kwei Wen,et al.  Stochastic response and damage analysis of inelastic structures , 1986 .

[2]  I. Mayergoyz.  Mathematical models of hysteresis and their applications , 2003 .

[3]  James L. Beck,et al.  A new class of distributed-element models for cyclic plasticity. II: On important properties of material behavior , 1994 .

[4]  Dar-Yun Chiang.  Parsimonious modeling of inelastic systems , 1992 .

[5]  Ravi Thyagarajan,et al.  Modeling and analysis of hysteretic structural behavior , 1989 .

[6]  Chuen-Tsai Sun,et al.  Constructing hysteretic memory in neural networks , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[7]  James L. Beck,et al.  A new class of distributed-element models for cyclic plasticity—I. Theory and application , 1994 .

[8]  Jan Swevers,et al.  Online identification of hysteresis functions with non-local memory , 2001, 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Proceedings (Cat. No.01TH8556).

[9]  W. Iwan.  A Distributed-Element Model for Hysteresis and Its Steady-State Dynamic Response , 1966 .

[10]  Paul C. Jennings.  Response of simple yielding structures to earthquake excitation , 1963 .

[11]  Andrew W. Smyth,et al.  Adaptive Parametric Identification Scheme for a Class of Nondeteriorating and Deteriorating Nonlinear Hysteretic Behavior , 2008 .

[12]  Ismael Herrera,et al.  On a Kind of Hysteretic Damping , 1964 .

[13]  Thomas T. Baber,et al.  Random Vibration Hysteretic, Degrading Systems , 1981 .

[14]  Raimondo Betti,et al.  A parametric identification scheme for non‐deteriorating and deteriorating non‐linear hysteretic behaviour , 2006 .

[15]  Mladen Vucetic,et al.  Normalized behavior of clay under irregular cyclic loading , 1990 .

[16]  Jan Swevers,et al.  Theoretical analysis of the dynamic behavior of hysteresis elements in mechanical systems , 2004 .

[17]  Gianmarco De Felice,et al.  Hysteretic Systems with Internal Variables , 2001 .

[18]  Thomas Kleineberg.  A generalized approach for modelling the nonlocal memory of hysteretic systems , 1997 .

[19]  G. S. Pisarenko.  VIBRATIONS OF ELASTIC SYSTEMS TAKING ACCOUNT OF ENERGY DISSIPATION IN THE MATERIAL , 1962 .

[20]  R. P. Skelton,et al.  The Bauschinger effect, Masing model and the Ramberg–Osgood relation for cyclic deformation in metals , 1997 .

[21]  F. Preisach.  Über die magnetische Nachwirkung , 1935 .

[22]  Dar Yun Chiang,et al.  A phenomenological model for cyclic plasticity , 1997 .

[23]  Fritz Heidenreich,et al.  Untersuchungen über die Polarisation der Raman-Streuung , 1935 .

[24]  Wilfred D. Iwan,et al.  A model for system identification of degrading structures , 1986 .

[25]  Wilfred D. Iwan,et al.  On a Class of Models for the Yielding Behavior of Continuous and Composite Systems , 1967 .

[26]  Wilfred D. Iwan,et al.  Nonlinear system identification based on modelling of restoring force behaviour , 1989 .