Use of Prandtl-Ishlinskii hysteresis operators for Coulomb friction modeling with presliding

8th Workshop on Multi-Rate Processes and Hysteresis;HSFS Workshop (Hysteresis and Slow-Fast Systems)

Ruderman, Michael^1 ; Rachinskii, Dmitrii^2

University of Agder (UiA), Kristiansand

4604, Norway^1

University of Texas in Dallas (UTD), 800 W Campbell Road, Richardson

TX, United States^2

关键词: Continuous distribution functions;    Coulomb friction models;    Force-displacement characteristics;    Hysteresis operator;    Multiple applications;    Prandtl-ishlinskii hysteresis;    Unidirectional motion;    Velocity-dependent;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/811/1/012013/pdf
DOI  :  10.1088/1742-6596/811/1/012013

来源: IOP

【 摘 要 】

Prandtl-Ishlinskii stop-type hysteresis operators allow for modeling elasto-plasticity in the relative stress-strain coordinates including the saturation level of the residual constant-tension flow. This lies in direct equivalence to the force-displacement characteristics of nonlinear Coulomb friction, whose constant average value at unidirectional motion depends on the motion sign only, after the transient presliding phase at each motion reversal. In this work, we analyze and demonstrate the use of Prandtl-Ishlinskii operators for modeling the Coulomb friction with presliding phase. No viscous i.e. velocity-dependent component is considered at this stage, and the constant damping rate of the Coulomb friction is combined with the rate-independent losses of presliding hysteresis. The general case of Prandtl-Ishlinskii operator with a continuous distribution function is considered together with a finite elements case, which is useful for implementation in multiple applications. Finally, identification of parameters is addressed and discussed along with two experimental examples.