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A Vector Account of Four-Piece Mechanisms
Published online by Cambridge University Press: 03 November 2016
Extract
If four rigid rods are smoothly pivoted together at their ends to form a closed quadrilateral the system is said to form a four-link chain. Under certain conditions, five in number, it is found that the quadrilateral is freely deformable and the system is then regarded as a mechanism. Isolated systems, satisfying the necessary conditions and hence admitting deformation, have been known for some time, namely,
(a) the case in which the rods are coplanar and all the hinges are perpendicular to this plane;
(b) the general “spheric or conic-chain” in which the lines of the four hinges are concurrent;
(c) the case of the “Skew-isogram” discovered by Dr. G. T. Bennett.
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- Research Article
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- Copyright © Mathematical Association 1943
References
page no 149 note * Macmillan, R. H., Math. Gazette, Feb. 1942, Vol. XXVI, No. 1, pp. 5–20 CrossRefGoogle Scholar.
page no 149 note * Rouleaux, Kinematics of Machinery. Trans, by Kennedy, Macmillan (1876), pp. 67, 327, etc.
page no 149 note ‡ Bennett, G. T., Proc. Lond. Math. Soc., vol. 13, series 2 (1914), p. 151 CrossRefGoogle Scholar.