Coulomb friction model with unilateral contact is a basic, but reliable, to represent the resistance sliding between solid bodies. It nowadays well-known that this can be formulated as second–order cone complementarity problem, or equivalently, variational inequality. In article, enriched take into account rolling, also known rolling friction. Introducing cone, an extended Coulomb's and its dua...

Faults often separate materials with different elastic properties. Nonuniform slip on such faults induces a change in normal stress. That suggests the possibility of self-sustained slip pulses [Weertman, 1980] propagating at the generalized Rayleigh wave speed even with a Coulomb constitutive law (i.e., with a constant coefficient of friction) and a remote driving shear stress that is arbitrari...

We give a mathematical description of the initial stage both axles skidding for wheeled vehicle on bend that arises in case blocking or slipping wheels one its axles. It is shown within framework Zhuravlev’s model friction, which takes into account moments spinning friction (they appear as result interaction with reference plane), less than Coulomb model.

The position of the DC motor is controlled by using a continuous sliding mode control (SMC), which is highly robust to the Coulomb friction torque and to high unknown payload variations, which involve changes in the rotational inertia of the motor shaft. The main contribution of the work is the experimentation of a SMC control which does not requires the knowledge of the payload variation range...

The aim of this work is to study a class of nonsmooth dynamic contact problem which model several surface interactions, including relaxed unilateral contact conditions, adhesion and Coulomb friction laws, between two viscoelastic bodies of Kelvin-Voigt type. An abstract formulation which generalizes these problems is considered and the existence of a solution is proved by using Ky Fan’s fixed p...

This paper demonstrates gradient driven density-based topology optimization of transient impact problems with friction. The sensitivities are obtained using the semi-discrete adjoint approach in which temporal components by "differentiate then discretize" whereas spatial part is determined discretely. In this work, sensitivity analysis method extended to a mixed formulation involving both displ...

A system identification method in the frequency-domain is proposed for a servomechanism with nonlinearities. A linear part of the servomechanism is identified exactly without distortion due to inherent nonlinearities through the proposed method. Parameters of the nonlinearities, including both Coulomb and viscous friction, are identified by the use of limit cycle analysis and describing functio...

Here, we investigate the ultrastructural origins of the strength of bone, which is critical for proper physiological function. A combination of dual nanoindentation, three-dimensional elastic-plastic finite element analysis using a Mohr-Coulomb cohesive-frictional strength criterion, and angle of repose measurements was employed. Our results suggest that nanogranular friction between mineral pa...

In this paper, the stability of objects in graspless manipulation (or nonprehensile manipulation) is investigated. In contrast with the stability of grasps, it is crucial for the stability of graspless manipulation to evaluate frictional forces applied to objects in contact motion. We formulate the effect of Coulomb friction and propose a quantitative stability measure for graspless manipulatio...