摘要
在RV减速器的修形过程中,存在难以保证RV减速器承载能力和传动精度能够综合提升的问题,且以往关于修形的研究大多数都是单目标修形,为此,提出了一种以RV减速器承载能力和回差为目标的优化方法,并使用RV减速器综合性能检测台对修形后的RV减速器进行了回差动态实验。首先,考虑了摆线轮修形后的齿廓方程以及修形所需要RV减速器的具体参数,并对标准摆线轮产生的接触力进行了分析;然后,确定了摆线轮和针齿最大接触力的位置,得出了摆线轮齿作用力的计算方法;比较了摆线轮与针齿之间的初始啮合间隙以及摆线轮与针轮变形量的大小,对同时啮合的齿数进行了判断,采用MATLAB迭代计算的办法,计算了准确的最大接触力,并使用赫兹公式算出了最大接触力;最后,分析了不同的修形方式对回差的影响,并建立了多目标优化模型,采用改进后的NSGA-Ⅱ算法gamultiobj遗传算法进行了寻优,求解得到了最小适应度下的较优修形量;为验证该修形方法的准确性,使用RV减速器综合性能检测台对修形后的RV减速器进行了回差动态实验。研究结果表明:经过优化后摆线轮齿间最大接触应力相较于等距修形和移距修形分别降低了11%和13%,优化后的回差为0.013′,回差相较于等距修形和移距修形均得到了提高;以承载能力和回差为优化目标的多目标修形能够较好地解决RV减速器综合性能提升的问题。
Aiming at the problem that it is difficult to ensure the comprehensive improvement of the load capacity and transmission accuracy of the RV reducer during the modification process of the RV reducer,and most of the research on the modification is the single-objective modification.The optimization method with the goal of reducer carrying capacity and backlash was proposed based on the RV,and dynamic experiments were conducted on the modified RV reducer using a comprehensive performance testing platform.Firstly,considering the modified tooth profile equation of the cycloid wheel and the specific parameters of the RV reducer required for the modification,the contact force generated by the standard cycloid wheel was analyzed.Then,according to the position of the maximum contact force,the calculation method of the power of the cycloid gear teeth was obtained.The number of teeth meshing at the same time was judged by comparing the initial meshing gap between the cycloid gear and the pin teeth and the deformation of the cycloid gear and the pin gear.MATLAB iterative calculation method was used to calculate the accurate maximum contact force,and the Hertz formula was used to calculate the leading contact force.Finally,the influence of different modification methods on the return difference was analyzed,and a multi-objective optimization model was established.The improved NSGA-Ⅱalgorithm gamultiobj genetic algorithm was used for optimization,and the optimal modification amount under the minimum fitness was obtained by solving the solution.To verify the accuracy of the modification method,a dynamic experiment was conducted on the modified RV reducer using a comprehensive performance testing platform.The research results show that after optimization,the maximum contact stress between cycloid gear teeth is respectively reduced by 11%and 13%,comparing with median and displacement modification.The optimized return difference is 0.013′,compared with both the equidistant change and the displacement modification,it has been improved.The multi-objective modification with the load capacity and backlash as the optimization target can better solve the problem of improving the comprehensive performance of the RV reducer.
作者
乔雪涛
张洪伟
李优华
盛坤
周世涛
曹康
徐航
QIAO Xuetao;ZHANG Hongwei;LI Youhua;SHENG Kun;ZHOU Shitao;CAO Kang;XU Hang(School of Mechanical and Electrical Engineering,Zhongyuan University of Technology,Zhengzhou 450007,China)
出处
《机电工程》
CAS
北大核心
2023年第12期1846-1856,共11页
Journal of Mechanical & Electrical Engineering
基金
国家自然科学基金资助项目(52075561)。
作者简介
乔雪涛(1971-),男,河南开封人,博士,副教授,硕士生导师,主要从事精密制造技术与装备、精密机械传动技术与装备等方面的研究。E-mail:xtqiao@126.com。
