Parameter Estimation of Hysteresis Elements Using Harmonic Input

Document type: Conference Papers
Peer reviewed: Yes
Full text:
Author(s): Martin Magnevall, Andreas Josefsson, Kjell Ahlin
Title: Parameter Estimation of Hysteresis Elements Using Harmonic Input
Conference name: IMAC XXV
Year: 2007
ISBN: 0-912053-96-8
City: Orlando, Florida
Organization: Blekinge Institute of Technology
Department: School of Engineering - Dept. of Mechanical Engineering (Sektionen för teknik – avd. för maskinteknik)
School of Engineering S- 371 79 Karlskrona
+46 455 38 50 00
Authors e-mail:,,
Language: English
Abstract: The industrial demand on good dynamical simulation models is increasing. Since most structures show some form of nonlinear behavior, linear models are not good enough to predict the true dynamical behavior. Hysteresis
is a highly nonlinear phenomenon which occurs in for example dampers and mechanical joints.

This paper presents a method for parameter estimation on nonlinear systems under harmonic excitation. By using the principle of harmonic balance or multi harmonic balance a theoretical frequency response function of the
studied system can be estimated. This frequency response function can, in conjunction with measured nonlinear
transfer functions, be used to make parameter estimations of the nonlinearity present in the system. A major benefit using this method is the ability to use arbitrary nonlinear functions. This means that the method can be applied to nonlinear systems with memory, for instance systems with hysteresis effects. The method is applied to both simulated systems and an experimental test rig.
Subject: Mechanical Engineering\Structural Dynamics
Keywords: nonlinear, characterization, parameter estimation, harmonic balance, sine excitation