The matrix approach which was developed by Suh for the synthesis of a planar four-link mechanism is extended to present a synthesis technique for six-link mechanisms for point-path generation. Numerical examples are presented to illustrate the application of this extended technique.
The present paper investigates the existence of coupler cognate mechanisms of a class of eight-link mechanisms. This class of eight-link mechanism have a quarternary link placed at one of the two fixed pivots. The eight-link mechanisms examined have at least one dyad (consisting of one binary and one ternary link) which is connected to the quaternary link.
In an earlier work in collaboration with A.A. Sherwood the author presented some ideas on the optimisation of the distribution of mass in the links of mechanisms. One unfortunate aspect of this work was that the calculated distributions of mass sometimes resulted in a link with negative total mass or negative moment of inertia.
The present paper introduces a new and more powerful approach to the problem of mass distribution, using mathematical constraints on the mass and moment of inertia of the synthesised links to ensure that they can be achieved in practice. Some other deficiencies in the earlier work are also corrected.
Velocity diagrams are employed to establish the Carter-Hall circle [2] and the expression for its diameter in a simple way. These diagrams also lead to simple grapho-analytical methods for the fifth-order function-generation synthesis of the four-bar mechanism and the determination of the Burmester points of infinitesimal motion. The related determination of the circling point curve and Ball's point have been considered in a previous article [8].
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