Abstract
This paper describes characteristic analyses for a two-dimensional friction model. The model is an extension of a conventional friction model for one-dimensional motion: the Dahl model. The extended model is derived by replacing scalar variables in the original Dahl model with vectors. The analyses are made in typical planar two-dimensional motion. The force-displacement hysteresis loop of the two-dimensional model is represented as second order differential equations in circular arcurate motion, while that of the original model is represented as first order one. The proposed model produces centripetal force when the radius of the circular motion is rather small, and friction force when the radius grows. That corresponds to the displacement-dependent stiffness of the original model. The proposed two-dimensional model preserves those principal properties of the original one-dimensional model.
