Study on the Precision Measurement Method of Roller Enveloping Hourglass Worm Tooth Surface

Abstract To satisfy the increasing requirements of high-precision and zero-backlash transmission in the modern machine tools and industrial robots, a precision measurement method of roller enveloping hourglass worm tooth surface is demonstrated. The profile modification method of hourglass worm tooth surface is proposed for the zero-backlash meshing, and the mathematical model of standard theoretical tooth surface and actual modified tooth surface is established. The deviations of hourglass worm tooth surface are defined, and the measuring method is proposed based on the gear measuring center. The matching method of theoretical tooth surface and actual tooth surface is analyzed, through establishing the evaluation object function and designing the search iterative method. The roller enveloping hourglass worm sample is ground based on the profile modification principle, and the deviations on the tooth surface are measured by the proposed measurement method. The results turn out that this precision measurement method is feasible. This study is expected to give an evaluation standard to improve the tooth surface accuracy of roller enveloping hourglass worm.