Improvement of parameter estimation for non-linear hysteretic systems with slip by a fast Bayesian bootstrap filter

Abstract

Modeling and identiÿcation of non-linear hysteretic systems are widely encountered in the structural dynamics ÿeld, especially for the hysteresis with slip. A model, called SL model, which can describe the pinching of most practical hysteresis loops perfectly was proposed by Baber and Noori (J. Eng. Mech. 111 (1985) 1010). A method of estimating the parameters of SL model on the basis of input-output data based on bootstrap ÿlter was proposed by the writers. Bootstrap ÿlter is a ÿltering method based on Bayesian state estimation and Monte Carlo method, which has the great advantage of being able to handle any functional non-linearity and system and/or measurement noise of any distribution. The standard bootstrap ÿlter, however, is not time e cient, i.e., it is very time consuming and is not suitable for real-time applications. In this paper, previous work by the writers is extended to do the parameter estimation of SL model by a fast Bayesian bootstrap ÿltering technique. Simulation results are presented to demonstrate the performance of the algorithm.

LMS-based approach to structural health monitoring of nonlinear hysteretic structures

“…Examples of such methods are least squares [12], Kalman filtering [25], genetic algorithm [21], and bootstrap filtering technique [8].…”

“…Further, their reliance on modal properties has potential problems as modal properties are not robust in the presence of noise and do not always represent measurable damage [4]. Adaptive fading Kalman filters [5,6], adaptive H ∞ filter techniques [7], and bootstrap filtering approaches [8] can achieve real-time or near real-time results and provide structural parameter identification. However, they have significant computational cost and complexity.…”

Nonlinear modeling of hysteretic systems with double hysteretic loops using position and acceleration information

“…Modeling of asymmetric hysteretic loops resembling double-loop behavior has been reported in [7], where hysteresis modeling is based on a modification to a previously reported model which uses hysteretic cycle decoupling by making the shape parameters system dynamic-dependent, but no position or acceleration information are considered. Moreover, in [15], a model of a kind of double-loop hysteretic behavior is also shown. Again, no position or acceleration is invoked.…”

“…Again, no position or acceleration is invoked. It is convenient to note that in both models [7] and [15], the internal dynamic model of hysteresis is converted from first to second order. Traditionally, the internal dynamic of hysteresis model is a first-order differential equation with velocity information supplied as its input, which is the case of the Bouc-Wen model [28].…”

Survey and Introduction to the Focused Section on Mechatronics for Sustainable and Resilient Civil Infrastructure

“…These methods typically only use accelerometers as sensors and rely on the change in natural frequencies to detect damage [5,10,13]. However, a change in a frequency doesn't necessarily represent damage, particularly with highly non-linear responses [14,15]. Significant changes in story stiffness are often required as well, which would normally cause clearly visible damage [15].…”