Analytical investigation of the friction reduction performance of longitudinal vibration based on the modified elastoplastic contact model

An analytical friction model considering material properties and surface topography is established to predict the friction reduction performance of longitudinal vibration, and a set of closed-form solutions are derived and verified. A parameter study is conducted based on the model. Results show that the vibration parameters, normal load, surface morphology, and material properties have significant influences on the friction reduction effect. The friction reduction mechanism is mainly attributed to the changes in the magnitude and direction of asperities tangential deformation. The analytical model can efficiently and accurately calculate the contact parameters and instantaneous friction force of rough contact surfaces, and provide theoretical guidance for the rational utilization of longitudinal vibration to achieve better friction reduction performance in mechanical systems.