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Some Fundamentals of Space Mechanisms

Published online by Cambridge University Press:  03 November 2016

N. Rosenauer
N. Rosenauer*
Affiliation:
N.S.W. University of Technology, Sydney, Australia
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Extract

Since a link in a plane has three degrees of freedom the simplest closed plane mechanism with constrained motion must have four lower pairs, i.e. one more than the number of degrees of freedom. If the lower pairs are turning pairs, the mechanism is the well-known four-bar linkage. One or two turning pairs may be replaced by sliding pairs without affecting constrained motion, but not less than two turning pairs must remain in a closed link group.

Type
Research Article
Information
The Mathematical Gazette , Volume 40 , Issue 334 , December 1956 , pp. 256 - 259
Copyright
Copyright © Mathematical Association 1956

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References

1. Rosenauer, N. and Willis, A. H., Kinematics – of Mechanisms, Sydney, (1953), pp. 271-278.Google Scholar
2. Alt, H.. Die praktische Bedeutung der Raumgetriebe (1929) V D. I. Vol. 73, No. 6, pp. 188-190.Google Scholar
3. Macmillan, R. H.: The Freedom of Linkages. Mathematical Gazette, Vol. XXXIV, No. 307, Febr. 1950.Google Scholar
4. Dobrovolsky, V.: Method of Spherical Images in the Theory of Space Mechanisms. (Russian) Publications of the Seminar of Theory of Machines and Mechanisms, Vol. 3, No. 11 Moscow (1947).Google Scholar