Design of Pitch Curve for Noncircular Intermittent Gear and Its Steepest Rotation Modification of Epicycle Defect
Aiming at problem of noncircular gear unable to realize one-way continuous rotation,a new pitch curve design method of N-lobed discretionary noncircular intermittent gear is proposed.The pitch curve is divided into two categories,i.e.,functional and non-functional.Discretionary given transmission requirement is satisfied by functional pitch curve,the epicycle defect is modified by non-functional pitch curve.To improve the transmission efficiency of noncircular intermittent gear,the steepest rotation modification model of non-functional pitch curve design is established based on fundamentals of the calculus of variations.Realization mechanism of the model is studied.Analytical solution of the model is derived by using the Euler-Lagrange equation and the boundary conditions of functional pitch curve.Its conjugate pitch curve equations are given,which contain outer meshing and inner meshing.The practicality of noncircular intermittent gear design method and the effectively of steepest rotation modification model are verified by numerical examples.