TY - RPRT A1 - Rill, Georg T1 - Second-Order Dynamic Friction Model Goes Bi-Dimensional N2 - Dynamic friction models can handle not only slip-stick-slip transitions but also stick as long as the external load does not exceed the friction limit. The recently developed second-order dynamic friction model (FrD2) uses two internal states. It models standard friction characteristics by a smooth analytical function, which includes the Stribeck effect and also a viscous component. A horizontal shift of the regularized friction characteristics provides non-vanishing friction forces required to keep stick. Unlike the well-known LuGre model, the FrD2 model reproduces predefined friction characteristics very accurately and shows no drift under pulsating loads. This paper shows how to extend FrD2 to its bi-dimensional version FrD2bd. KW - Second-Order Dynamic Friction Model KW - Shifted Regularization KW - Bi-Dimensional Friction KW - Planar Oscillator KW - Sliding Pendulum Y1 - 2025 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:898-opus4-80791 CY - Regensburg ER - TY - RPRT A1 - Rill, Georg T1 - Second-Order Dynamic Friction Model (FrD2) in a Nutshell N2 - The well-known LuGre friction model generates dynamic friction forces. This force results from the approximation of the dynamics of a massless fictitious bristle. However, it has several drawbacks and fails to reproduce predefined friction characteristics. The second-order dynamic friction model (FrD2) avoids these drawbacks and accurately reproduces friction characteristics. The FrD2 model is based on a fictitious bristle whose mass automatically adapts to visco-elastic bristle properties. The FrD2 model describes friction characteristics using piecewise-defined analytical functions and applies shifted regularization, which allows for smooth handling of stick-slip transitions. FrD2 parameters can easily be derived from LuGre model parameters. KW - Second-Order Dynamic Friction Model KW - Shifted Regularization KW - Fictitious Bristle KW - FrD2 Model Parameter KW - LuGre to FrD2 Y1 - 2025 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:898-opus4-80770 ER -