Kinematic synthesis and design of non-circular gears through a symbolic-numeric modeling approach

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The paper presents a new method for the kinematic synthesis of non-circular gears of general type, for a given law of motion. The proposed method is an extension of cycloidal gearings to the case of non-circular pitch curves. The computation procedure is based on a mixed symbolic-numeric approach that allows us to determine the equations of the curves representing the tooth shapes in parametric, explicit form. The evaluations of the pressure angle and of the contact ratio are discussed. A numerical example is presented. Copyright © 2005 by ASME.

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