Some mechanisms evolve from other mechanisms to fulfil a new function. It follows that there is cognation between certain mechanisms. Addressed in the present paper are innovative design methods for displacement machinery. According to the design of the changeable displacement pump, it may be a closed pair of components in the mechanism that possesses periodically relative movement to form a periodically changeable and closed cavity. To this can be adapted design methods based on innovative theories, such as the Scotch Cousin theory in evolution venations, the theory of Cognation, the theory of “Nodes” among generations and so on. Thus innovative designs for them can be produced by imaginative thinking. Illustrated here is an innovative design for a pump a with half-sphere rotor, developed from a typical 4-bar mechanism in accordance with the principle of Precession Evolution, which is to be applied to the recovery of oil spillage at sea.
