On tire models accounting for both deformed state and coupled dry friction in a contact spot

Section: B) Support Pointmentioning

confidence: 99%

General Case of Movement of Solid System with Slider-Crank Mechanisms As Internal Movers On Rough Surface with Friction

Semendyaev¹

2021

“…Then, the net vector of the friction force and torque are computed by the integration over the contact area and presents the exact coupled integral models of the combined dry friction. To avoid calculating double integrals, the exact model is replaced by an approximated analytical model [1][2][3][4][5][6][7][8][9][10][11][12][13][14], which fully satisfies all the analytical properties of the integral model as a function of kinematic parameters without increasing the number of coefficients.…”

Section: Introductionmentioning

confidence: 99%

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mentioning

confidence: 99%

Dry Friction Model of a Contact of a Solid Ball Moving Along the Boundaries of Two Rails

Kireenkov¹

2021

It is proposed applications of the theory of combined dry friction [1][2][3][4][5][6][7][8][9][10][11][12][13][14] in the problem of the ball rolling on boundaries of two identical frames. Father development of this model can be used in investigation of the dynamic of the a so-called "Butterfly" robot, consisting of two identical shaped plates rigidly placed parallel to each other on a small distance aimed at manipulating a ball that can freely roll on the plates' boundaries as on rails [15]. The difficult control system, considered in [16][17][18] are another engineering application of the combined dry theory. Following developed in previous investigation approach, the friction force and torque are computed by the integration over the contact area so that the exact dynamically coupled integral model accounting the relationship of all the components of friction is obtained. This exact model is replaced by approximated analytical model [6] which is completely satisfy to all analytical properties of integral model as function kinematics parameters without increasing the number of coefficients.

“…Note that, despite the large number of works devoted to the mechanics of shells and contact problems, there are practically no publications devoted to solving spatial transient contact problems. The constructed technique can serve as a basis for the development of mathematical formulations and methods for solving new transient contact problems as well as for contact problems taking into account anisotropic combined dry friction [8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Transient Contact Interaction of Solid Bodies and Thin Shells

Тарлаковский¹,

Fedotenkov²

2021

A spatial transient contact problem with moving boundaries for a thin elastic cylindrical shell and a rigid indenter bounded by a smooth convex surface is considered. A closed mathematical formulation is given and a system of resolving equations is constructed. The main integral equation follows from the principle of superposition and contact conditions. The core of this equation is the transient function for the cylindrical shell. To a closed system of resolving equations, it is supplemented by a kinematic relation for determining the moving boundary of the contact region and the equation of motion of the indenter as a rigid body. An algorithm for solving the spatial non-stationary contact problem for an infinitely long cylindrical shell and rigid indenter in the case of a normal impact on the side surface of the shell is constructed and implemented. Examples of calculations are given.