Solution rectification of slider-crank mechanisms with transmission angle control

Transmission angle control is well studied for both crank rocker and Grashof crank slider mechanisms. However, non-Grashof slider-crank mechanisms have received less attention. For these mechanisms, the fully rotatable crank constraint is removed increasing the complexity of the problem. Furthermore, methods of linkage synthesis by optimization are becoming more prevalent. When optimizing a mechanism, it is important to prevent the evaluation of non-constructible and undesirable linkages. Presented here is a method of solution rectification by means of transmission angle control for slider-crank mechanisms which can be used to parameterize a problem to prevent the evaluation of invalid linkages. The solution is kept general to include fully rotatable crank slider mechanisms as well. The solution considers both crank driven and slider driven mechanisms as well as a reversible driver mechanism. An example is provided to demonstrate the method. It will be shown that by defining a transmission angle, valid linkages can be generated preventing the evaluation of invalid solutions.