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Stick-slip analysis

An element for the stress components composed of 16 sub-elements (4x4) on which bilinear (continuous) polynomials are used, was introduced by Marchal and Crochet in [28]. This leads to a continuous C° approximation of the three variables. The velocity is approximated by biquadratic polynomials while the pressure is linear. Fortin and Pierre ([17]) made a mathematical analysis of the Stokes problem for this three-field formulation. They conclude that the polynomial approximations of the different variables should satisfy the generalized inf-sup (Brezzi-Babuska) condition introduced by Marchal and Crochet and they proved it was the case for the Marchal and Crochet element. In order to take into account the hyperbolic character of the constitutive equation, Marchal and Crochet have implemented and compared two different methods. The first is the Streamline-Upwind/Petrov-Galerkin (SUPG). Thus a so-called non-consistent Streamline-Upwind (SU) is also considered (already used in [13]). As a test problem, they selected the "stick-slip" flow. With SUPG method applied to this problem, wiggles in the stress and the velocity field were obtained. In the SU method, the modified weighting function only applies to the convective terms in the constitutive equations. [Pg.245]

The same analysis as in the "stick-slip" case can be performed. In the neighbourhood of a... [Pg.250]

The data also indicate tlmt there is a positive correlation between the COF drop and the occurrence of stfck slip. For values of COF drop greater than 0.08, one or more stick-slip cycles occurred for aU polymers and sur ce textures. When the value of COF drop was less than 0.04, stick slip did not occur. Between COF drops of 0.04 and 0.08 there is a transition where the number of tests that had zero stick slip increased as the magnitude of the COF drop decreased. An ANalysis Of VAriance (ANOVA) of these data indicated that the normal load, sur ce texture, polymer, and polymer/sur ce texture interaction had statistically significant effects in the value of the COF drop ( ). [Pg.423]

The analysis of spline couplings subjected to applied torque and misalignment or bending moment has been carried out by two methods classical complete slip theory and an elastostatic model with stick-slip Action based on the boundary element method. [Pg.601]

In both cases the complete evaporation dynamics is governed by Eq. (2) since the droplet volume only depends on one variable. In the case of slip-stick behavior, i. e., alternating behavior alternating between cases I and II, the data analysis can also be performed based on the above equation. [Pg.420]

A transient munerical analysis has been carried out of the EHL start-up conditions examined experimentally by Glovnea and Spikes [1]. The results show considerable differences when detailed film profile comparisons are made. The transient behaviour of the front between dry and lubricated contact is reproduced, and the numerical results are closely aligned with a simple entrainment transport model. The differences between experiment and theory show an over entrainment of oil into the experimental contact compared to that calculated using the Reynolds equation. A possible explanation for this effect based on an initial sticking of the presumed slipping surfeces is suggested. [Pg.88]


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See also in sourсe #XX -- [ Pg.160 ]




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