Dual conjugated meshing zone plays an important role in improving the torsional stiffness and transmission accuracy of the harmonic drives with double-circular-arc tooth profiles (DCTP).A novel method was proposed to amplify the dual conjugated meshing zones effectively.Segmented functions and matrix of meshing invariant were introduced to establish arc length parameterization function and theoretical meshing equation for a single flexspline tooth of a harmonic drive,respectively.In this way,the computation of theoretical conjugate tooth profiles of harmonic drives could be significantly simplified.Employing the conjugated tooth profiles difference as the objective function,single-parameter and multiple-parameter optimizations were conducted with concave tooth profile radius,common tangent longitudinal length and the angle of inclination with common tangent as the independent variables.The results demonstrated that the optimization design method is helpful for reasonable selection of the tooth profile parameters of flexspline teeth,which would ensure the motion accuracy of dual-conjugated meshing zones.
