Abstract
This paper presents an elastic transmission model of spur gear (2-D) sets by means of combination with the kinematic geometry and elastic theory of gearing for analysis of transmission error (TE). Based on conventional contact condition between a teeth pair, an elastic contact mathematic equation is established, whose elastic deformation is caused by contact, bending and torsion of gears. The elastic contact equation involves time-varying center distance. For double tooth pairs contact, a compatibility equation is comprehensively established to implement continuously transformation. A spur gear (2-D) set is used as example to analyze the influences of the elastic deformation and center distance of the gears on the contact position and TE. The case study shows that the method of using mathematical model to study the gears TE presented in this paper is reliable. The work lays the theoretical foundation for further accuracy analysis and design.
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