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Pitch curve design defects modification for non-circular bevel gear

A novel pitch curve design method for non-circular bevel gear is presented to simplify design of non-circular bevel gear. Pitch curve equation for non-circular bevel gear is deduced based on geometrical relationships between pitch cone surface of non-circular gear with parallel axis and spherical surface. Then, transmission ratio function is transformed into pitch curve design defects modification equation and mathematical expression between modification factor and pitch curve design parameters for non-circular bevel gear is derived. By using the expression, modification value of pitch curve can be determined rapidly and accurately. Simulation results for high-order elliptical bevel gear and Pascal curve bevel gear demonstrate that the proposed modification method can be applied to pitch curve design for other types of non-circular bevel gear. Design and verification efficiency for non-circular bevel gear are improved effectively by employing the proposed pitch curve design defects modification method.