Guilbault Raynald, Lalonde Sébastien
Department of Mechanical Engineering, École de technologie supérieure, 1100 Notre-Dame Street West, Montreal, QC H3C 1K3 Canada.
SN Appl Sci. 2021;3(1):66. doi: 10.1007/s42452-020-04129-4. Epub 2021 Jan 11.
This paper examines the dynamic performances of circular profile modifications designed to optimize the contact fatigue life of spur gears. It combines the PSO and Firefly metaheuristics to a gear dynamic/degradation model. The objectives are to analyse the ability of optimal corrections to reduce dynamic loads and dynamic transmission error (DTE), and to describe the influence of the modification variables. To reduce computation efforts, the study modifies the original metaheuristics. In the proposed adaptation of the Firefly algorithm, the particle movement hinges on the brightest firefly perceived through the light-absorbing medium. This change reduces the number of function evaluations per iteration. The analysis shows that while the correction length is more influential, both modification amount and length alter the gear behavior, whereas the curvature radius influence remains modest. Curved corrections are more effective in ameliorating contact fatigue life, whereas larger curvature radii are better at reducing the DTE. Compared to the original gear set, the PSO and Firefly versions showed that optimized modifications engender substantial enhancements of the fatigue resistance. Moreover, optimal profiles also reduce both DTE and dynamic factors, but the inverse cannot be assumed.
本文研究了旨在优化直齿轮接触疲劳寿命的圆形齿廓修形的动态性能。它将粒子群优化算法（PSO）和萤火虫算法相结合应用于齿轮动态/退化模型。目的是分析最优修形降低动态载荷和动态传动误差（DTE）的能力，并描述修形变量的影响。为了减少计算量，该研究对原始元启发式算法进行了改进。在所提出的萤火虫算法改进中，粒子运动取决于通过光吸收介质感知到的最亮萤火虫。这种变化减少了每次迭代的函数评估次数。分析表明，虽然修形长度的影响更大，但修形量和长度都会改变齿轮的行为，而曲率半径的影响仍然较小。曲线修形在改善接触疲劳寿命方面更有效，而较大的曲率半径在降低DTE方面更好。与原始齿轮组相比，粒子群优化算法和萤火虫算法版本表明，优化后的修形显著提高了疲劳抗力。此外，最优齿廓还降低了DTE和动态系数，但反之则不成立。
