Automated synthesis of mechanisms using dual-vector algebra

Conceptual design of mechanisms is still a mixture of art of science. Many researchers in the past, starting with Reuleaux in 1876, have attempted to classify, compile, codify basic elements of mechanisms in order to systematize the creative design process. Starting with the intended function and operational constraints, we present a methodology of combining basic building blocks to generate alternate mechanism concepts. This methodology is based on a mathematical framework for carrying out systematic conceptual design of mechanisms using dual-vector algebra. The dual-vector representation enables separation of kinematic function from mechanism topology. Functional requirements are modeled by employing motion codes. Topological requirements are handled using dual-vector representation of stored building blocks and prescribed motion requirements. A parameterized library of building blocks provides needed information to carry out subsequent dimensional synthesis. The methodology presented in this paper is restricted to single-degree of freedom function generation mechanisms and it can be extended to other classes of mechanisms. A design example is presented to illustrate the method.