Set-valued anisotropic dry friction laws: formulation, experimental verification and instability phenomenon

摘要: Many technical applications, such as brakes and metal forming processes, are affected by anisotropic frictional behavior, where the magnitude direction of friction force dependent on sliding direction. Existing dry laws do not sufficiently describe all relevant macroscopic aspects friction, influence dynamics mechanical systems is largely unknown. Furthermore, previous experimental work limited fact that always acting parallel to often neglected. In this paper, an law with capability nonsmooth behavior stick slip allowing for non-convex but star-shaped sets admissible forces formulated using tools from convex analysis. The formulation normal cone inclusion enables direct implementation in numerical time-stepping schemes. stability studied eigenvalue analysis reveals theory capable causing friction-induced instability. addition, setups detailed investigations described. measurements reveal complex shaped reservoirs confirm validity presented law. Finally, it shown leads a more accurate prediction motion systems.