Abstract
A model for calculating the sliding friction force between a surface with regular relief and a viscoelastic foundation in dry conditions is suggested. The Winkler type viscoelastic foundation with both normal and tangential compliances is considered. The local Coulomb friction law is assumed between the surfaces. The total friction is calculated including the contribution of both local adhesive friction and hysteretic losses in the viscoelastic material when elements of the surface relief cyclically deform the material during sliding. The contact problem is solved by the strip method in which the area of interaction is divided into strips parallel to the direction of sliding, and a 2D contact problem is solved in each strip in the closed form. Two types of periodic profile of the moving surface are considered—a profile with trapezoidal asperities and a doubly periodic sinusoidal profile. The model is applied to analyze the influence of the parameters of surface relief on the coefficient of sliding friction for various values of external load and sliding velocity.
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