转台齿轮传动系统的误差建模及其精度分配研究

Error modeling and precision distribution of gear transmission system of turntable

针对齿轮传动系统误差建模分析和精度分配这一问题,以新型转台传动系统为例,提出了一种具备良好鲁棒性、经济性及实用性的新传动系统优化设计方案。首先,建立了从单个齿轮到一对齿轮再到齿轮传动系统的传动误差分步计算体系,以概率统计法为基础创建了传动误差数学模型,对其传动误差进行了计算;然后,针对传统遗传算法进行多目标拓扑优化,创建了具备良好经济性和工程意义的齿轮精度分配方案,对齿轮精度进行了分配;最后,将两者进行有机整合,得到了新的传动系统优化设计方案,并设计实验对其正确性进行了验证。研究结果表明:采用新传动系统优化设计方案进行优化后,转台传动系统在满足设计要求的前提下,相关的齿轮精度等级得以降低,转台成本下降;同时,经过实验验证,采用该传动误差计算模型能够使齿轮传动系统的设计周期缩短7%,并降低对经验的依赖程度。

Aiming at the core issues of error modeling analysis and accuracy allocation of gear transmission system,a new transmission system optimization design scheme with good robustness,economy and practicability was optimized by taking a new type of turntable drive system as an example.Firstly,a step-by-step calculation system of transmission error was established from a single gear to a pair of gears to a gear transmission system,thus a mathematical model of transmission error was established based on probability and statistics method to calculate the transmission error.Secondly,multi-objective topological optimization was carried out according to the traditional genetic algorithm,and a gear accuracy distribution scheme with good economic and engineering significance was created to carry out the allocation of gear accuracy.Finally,the organic integration of the two was pioneered,a new optimal design scheme of transmission system was obtained,and an experiment was designed to verify its correctness.The research results show that after optimizing the design scheme of new transmission system,under the premise of meeting the design requirements,the relative gear accuracy level can be reduced and the turntable cost can be reduced.Through the experimental verification,the design cycle of gear transmission system can be shortened by 7%and the dependence on experience can be reduced by using the transmission error calculation model.