Generalized concept of meshing and contact of involute crossed helical gears and its application

• Published in: Computer methods in applied mechanics and engineering 2005-09, Vol.194 (34), p.3710-3745
• Main Authors: Litvin, Faydor L., Gonzalez-Perez, Ignacio, Fuentes, Alfonso, Vecchiato, Daniele, Sep, Thomas M.
• Format: Article
• Language: English
• Subjects: Applied sciences; Drives; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Gears; Involute crossed helical gears; Mechanical contact (friction...); Mechanical engineering. Machine design; Physics; Solid mechanics; Structural and continuum mechanics
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/j.cma.2004.09.009

A general approach for generation and design of standard and non-standard involute crossed helical gears is proposed. The conjugation of gear tooth surfaces is based on application of two generating rack-cutters with a common normal section. The investigation of the geometry is based on a new approach for presentation of the line of action A (the line of points of contact of tooth surfaces). Line A is represented in a plane Π that is tangent to the pinion base cylinder and position of A is determined analytically. Edge contact of tooth surfaces is avoided by limitation of shift of line of action caused by errors Δ γ and Δ E of the crossing angle and the shortest distance, respectively. Simulation of meshing and contact is computerized by developed computer program. Enhanced stress analysis approach is proposed. The developed theory is illustrated with numerical examples.