Investigation of interaction between friction and elastic deformation by using a novel feed drive model

•A novel 2-DOF model with two LuGre friction models is proposed to describe the frictional behavior and elastic deformation of a feed drive system.•A quick identification method is designed to obtain parameters of spring, damping and frictional model.•The novel 2-DOF model is used to represent the nonlinear behavior of the feed drive system and to explain the special two-stage behavior of the motor torque.•The elastic deformation could be accurately predicted and validated by the simulation and experimental results. This study investigated the frictional behavior and elastic deformation of a feed drive system by using two LuGre frictional models. The LuGre models were used to describe frictional behaviors on two sliding surface bodies connected by a spring-damper component. To investigate the interaction between friction and elastic deformation during speed reversal, the feed drive system was divided into two parts: the motor-screw and nut-table. The forward path and sinusoidal path were designed to identify the parameters of the spring, damping, and the frictional model. A 2-degree-of-freedom model was combined with the two LuGre models to represent the nonlinear behavior of the feed drive system. The proposed model provided a clear physical interpretation of the conventional hysteresis frictional curve. Furthermore, comparisons between the simulation and experimental results revealed that the maximum prediction error of elastic deformation was approximately 0.91 μm, and the average simulated error of elastic deformation was approximately 0.36 μm, which indicated the accuracy of the proposed model.