RESEARCH PAPERS: Mechanisms Papers

Kinematic Synthesis of Spherical Two-Gear Drives With Prescribed Entire-Motion Characteristics: Unlimited Crank Rotations and Optimum Transmission. Part 1: Theory

[+] Author and Article Information
T. W. Lee

Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, N.Y. 11794

E. Akbil

Mechanical Engineering Department, Higher Technical Institute, Mersin-10, Turkey

J. Mech., Trans., and Automation 108(1), 46-52 (Mar 01, 1986) (7 pages) doi:10.1115/1.3260783 History: Received July 16, 1984; Online November 19, 2009


This investigation is concerned with the determination of the rotatability of the input and output cranks and the optimization of transmission characteristics of spherical two-gear drives. Algebraic solutions are shown to be feasible only in a few special cases. In general, numerical synthesis procedures, involving either optimization or parameter scanning processes, are essential and they are developed from the general theory presented in this paper. The results, including conditions that can be regarded as an extension of the Grashof’s rule to the class of spherical geared mechanisms, are useful for the rational design of mechanisms. Applications of the theory to practical mechanisms design are given in Part 2.

Copyright © 1986 by ASME
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