基于高保真度目标函数的直齿圆柱齿轮优化设计  

Optimal Design of Spur Gear Based on High Fidelity Objective Function

作　　者：盛文达 李显培 林涛[1] 任宜青 张玮 孙梦 SHENG Wenda;LI Xianpei;LIN Tao;REN Yiqing;ZHANG Wei;SUN Meng(School of Construction Machinery,Chang'an University,Xi'an 710048,China)

机构地区：[1]长安大学工程机械学院,陕西西安710048

出　　处：《机械》2022年第3期46-52,共7页Machinery

摘　　要：在使用遗传算法对直齿圆柱齿轮进行优化设计计算时,通常采用近似模型替代齿轮模型建立目标函数,但经数次迭代计算后,误差被放大,会影响全局寻优的准确性。本文提出一种建立高保真度目标函数数学模型的方法,用于保证遗传算法全局寻优的准确,不仅考虑腹板、减重孔和轴质量的基础上增加考虑齿轮传动中大小齿轮齿宽不等、齿轮轴长度、顶隙、键槽等因素,还引入齿顶高、齿根高、键槽长宽、修正系数等参数。在设计材料数据相同条件下,相比传统优化设计,使用本文提出的高保真度目标函数进行遗传算法优化计算得出的优化结论在重量上减轻了11.67%,且经过ANSYS分析校核,该优化设计结论模型满足设计要求。When domestic and foreign scholars use genetic algorithm to optimize the design and calculation of spur gear,the approximate model is usually used to replace the gear model to establish the objective function,and after several iterative calculations,the error is magnified,which affects the accuracy of global optimization.Therefore,a mathematical model of high fidelity objective function is proposed in this paper to ensure the accuracy of the global optimization of genetic algorithm.When establishing the mathematical model of objective function,on the basis of the traditional practice that only the web,weight loss hole and shaft mass are concerned,factors such as the difference of tooth width of big and small gears in gear transmission,the length of gear shaft,top clearance and keyway are added into the model.Parameters such as tooth tip height,tooth root height,length and width of keyway and correction coefficient are introduced to construct the high fidelity objective function.With the same initial design parameters and design material data,compared with the traditional optimization design,the optimization conclusion obtained by using the high-fidelity objective function proposed in this paper for genetic algorithm optimization calculation reduces the weight by 11.67%,and the ANSYS analysis and verification shows that the model of the optimization design meets the design requirements.

关 键 词：高保真度 优化设计 直齿圆柱齿轮 目标函数 

分 类 号：TH132.417[机械工程—机械制造及自动化]