Engagement Normal Force and Elastic Backlash of Precision Ball Transmission

doi:10.3901/JME.2016.09.042

Abstract

Abstract: In view of usual resolved method of the engagement normal force and influence of the elastic backlash on the transmission performance of the precision ball transmission, based on mechanism analysis of the engagement pairs elastic backlash, the method to be resolved exact calculation engagement normal force and elastic backlash of engagement pairs is proposed by rigidity coefficient. The mechanical model of the engagement pairs is established. The formulas of the elastic turn angel and engagement normal force of the reduction speed engagement pair and equi-speed engagement pair are respectively deduced by the engagement point stiffness coefficient and torque balance equation. The elastic backlash formulas of the reduction speed engagement pair , the equi-speed engagement pair and the transmission mechanism are respectively deduced with the engagement pair elastic turn angel. The influence of the mechanism parameters on the elastic backlash is analyzed. The results show that engagement normal forces of the reduction speed engagement pair and the equi-speed engagement pair are represented by the unified formula. The elastic backlash curve of the transmission mechanism is changed periodically. It is obvious that mechanism parameters change affects the elastic backlash. The most important factor affecting the elastic backlash is the reduction of the number of steel balls. The research result provides theoretical basis for analysis of transmission accuracy, rotation smoothness and mechanical design of the precision ball transmission.

Key words: contact deformation, elastic backlash, engagement normal force, precision ball transmission, rigidity coefficient

CLC Number:

TH132

AN Zijun, YANG Ronggang, YI Yali. Engagement Normal Force and Elastic Backlash of Precision Ball Transmission[J]. Journal of Mechanical Engineering, 2016, 52(9): 42-48.

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