A unified optimization design method for multi-stage non-circular gear transmission based on periodic B-spline interpolation

• Published in: Advances in engineering software (1992) Vol. 197; p. 103760
• Main Authors: Ao, Meng, Yu, Gaohong, Wang, Lei, Sun, Liang, Ren, Yuanhao
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.2024
• Subjects: Multi-stage non-circular gear transmission; Periodic B-spline interpolation; Planetary gear transplant mechanism; Transmission function parameterization; Unified optimization design; Unified optimization design; Multi-stage non-circular gear transmission; Transmission function parameterization; Periodic B-spline interpolation; Planetary gear transplant mechanism
• ISSN: 0965-9978
• DOI: 10.1016/j.advengsoft.2024.103760

•A novel unified optimization design method for multi-stage non-circular gear transmission is proposed.•Periodic B-spline interpolation establishes the transmission function of non-circular gears.•The method maps the transmission function to a finite unified variable space, reducing complexity and constraints.•Non-circularity, smoothness, processing conditions, and coincidence degree are considered in optimization.•The method is validated through practical examples and a real-world planetary gear transplant mechanism. This research introduces a novel and unified optimization design method for multi-stage non-circular gear transmission (MNCGT) to address the challenges in designing MNCGT for complex motion requirements. The method optimizes non-circular gears comprehensively, reducing design and manufacturing difficulties while ensuring the realization of specified transmission requirements. A unified parameterization method, grounded on periodic B-spline interpolation, is introduced to establish the transmission function of non-circular gears and map it to a finite unified variable space. This innovative approach effectively reduces the difficulty and constraints of MNCGT optimization design. The proposed method takes into account crucial factors such as non-circularity, smoothness, processing conditions, and contact ratio, which significantly impact the transmission performance and manufacturing feasibility of non-circular gears. The effectiveness and superiority of this method are demonstrated through two practical examples and a real-world application in a planetary gear transplant mechanism, highlighting its potential for solving complex engineering problems.