Dynamics of pivoted slider bearings

Wilkinson, Andrew; Pradas, Marc and Wilkinson, Michael (2024). Dynamics of pivoted slider bearings. Physics of Fluids, 36, article no. 043603 (2024).

DOI: https://doi.org/10.1063/5.0196642

Abstract

We obtain the full equations of motion for a wide, pivoted, slider bearing. These are used to review the choice of the optimal position for the pivot point, to discuss its response to time-dependent sliding velocity, and to determine the stability of the motion. The case of an abrupt acceleration of the slider, which results in a large transient increase in the resistive force, is surprisingly complicated. We also discuss a general transversion formula for changing the dependent variables in Stokes flow problems.

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