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RESEARCH PAPERS: Mechanisms Papers

Synthesis of Spherical Four-Bar Function Generators to Match Two Prescribed Velocity Ratios

[+] Author and Article Information
C. H. Chiang

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, Republic of China

J. Mech., Trans., and Automation 105(4), 631-636 (Dec 01, 1983) (6 pages) doi:10.1115/1.3258526 History: Received June 11, 1982; Online November 19, 2009

Abstract

The present problem is a variation of synthesizing spherical four-bar function generators to coordinate three pairs of finitely separated crank-angle displacements. It is to be stressed here that, since the technique is on the basis of equations of three relative poles, the characteristic equation is simply a quadratic equation in the unknown tan ψo (initial output crank angle). It is not necessary, as in the case of a characteristic equation derived from displacement equations, to resort to techniques such as iterative methods for solving nonlinear equations. Equations are so presented as to facilitate computer programing. The synthesis of spherical crank-rockers is a special case of the present problem.

Copyright © 1983 by ASME
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