Abstract

The geometric model of a generalized double-offset joint is presented, in which the input and output axes do not intersect and the distances from the common perpendicular line of both axes to the centers of the meridional inner and outer races on these axes are not equal. Then, the relationship between the input and output angles of the double-offset joint may be evaluated by solving the quartic equation for the angular displacement between the normal of the homokinetic plane and the output shaft. By partial differentiation of the basic equations of this model with respect to the kinematic constants, the sensitivities of the output angle are evaluated, and a procedure is presented for simulating the relationship between the input and output angles on the basis of clearances between balls and inner races. Moreover, the relationship between the input and output angles of an actual double-offset joint and the fluctuation of the input axis relative to the output axis are precisely measured, and the cause of the error in the output angle is investigated by means of simulation.

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