A study is presented of the thickness and load-supporting capacity of fluid wedge-shaped films entrapped between the peripheral surfaces of rotating circular disks which are vibrated transversely, causing the wedge-shaped film to become alternately thin, then thick at moderately high frequencies. This nonsteady-state loading of the wedge is accomplished by mounting circular disks, Fig. 1, on parallel shafts with centers at d and d’, then transversely vibrating the beam which supports the complete lower-shaft assembly, consisting of bearings, bearing hangers, etc., see Fig. 4. Part 1 (see Fig. 1) is devoted to a theoretical analysis of the thickness and load-steady-state problem has yielded solutions which have not been obtainable by theoretical studies, except for cases involving assumptions which greatly alter the true results. It is found that the normal approach vibratory motion of the surfaces bounding the film is responsible for a much greater part of its load-supporting action than is the steady-state rotational motion.

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