On Existence and Synthesis of Smooth Four Parameter Logistic Paths Inside Annular Passages

This letter considers the existence and synthesis of four parameters logistic paths inside a passage comprised of annular sectors. As the main result, we derive an analytic condition obtaining minimum number of path segments that ensure existence of the path, continuous-curvature variation, and path confinement within the passage. Case studies highlight the viability and design aspect of the proposed method.