Abstract
This work presents interval-based uncertainty models in mechanism design for the kinematic response of linkages. Modeling and analysis of linkages and cam mechanisms is presented by considering uncertainty in input geometric parameters. The newly developed numerical procedure, the universal grey number theory is developed to find the most accurate bounds of response quantities of large structures that require the solution of systems of linear interval algebraic equations. The universal grey number based generic algorithm is developed to get the most optimum design possible of uncertain mechanical systems. This newly developed theory has shown to provide and predicts more realistic and improved results compared to other uncertainty approaches presented in this work.