考虑实测载荷谱的斜齿轮减振修形设计  

Tooth modification design for vibration reduction of involute helical gears considering experimental load spectrum

作　　者：贾超 方宗德[2] 姚立纲[1] 张俊[1] 卢宗兴[1] JIA Chao;FANG Zongde;YAO Ligang;ZHANG Jun;LU Zongxing(School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350116,China;School of Mechanical Engineering,Northwestern Polytechnical University,Xi'an 710072,China)

机构地区：[1]福州大学机械工程及自动化学院,福建福州350116 [2]西北工业大学机电学院,陕西西安710072

出　　处：《中南大学学报（自然科学版）》2021年第9期3184-3193,共10页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(52005107,51875105);福建省自然科学基金资助项目(2020J05100)。

摘　　要：为使齿面修形设计能够兼顾齿轮传动系统最常用载荷和其他载荷,提出一种考虑实测载荷谱的渐开线斜齿轮减振修形设计方法,并对其有效性进行了验证。首先,在齿面修形设计之前,需要得到齿轮传动系统的载荷谱,并对其进行分析,得到齿轮传动系统工作载荷范围、最常用载荷以及载荷出现概率等数据;其次,基于载荷谱中的一系列载荷及其出现概率,进行当量载荷设计;第三,将当量载荷设定为齿面修形的设计载荷,作为下一步的输入参数;最后,采用改进修形和传统修形2种齿面修形设计方法,基于遗传优化算法,结合实例完成承载传动误差幅值和啮入冲击力最小的齿面修形优化设计,对当量载荷的有效性进行验证。研究结果表明:齿面优化修形后,有效减小了齿轮副承载传动误差幅值和啮入冲击力;基于当量载荷的齿面修形设计,能够保证修形齿轮在大部分工作载荷范围内,尤其是常用工作载荷范围内,实现较好的传动质量;在当量载荷、最常用载荷以及工作载荷范围内的大部分载荷下,改进修形都比传统修形能够更有效实现齿轮传动系统的减振降噪。In order to achieve the goal that the tooth modification design is effective under the most commonly used load and other loads of gear transmission system,a tooth modification design method of vibration reduction for involute helical gear considering the measured load spectrum was presented,and its validity was verified Firstly,it's necessary to obtain the load spectrum of gear transmission system before tooth modification design,and then the working load range,the most commonly used load and the probability of load occurrence of gear transmission system were obtained through load spectrum analysis.Secondly,the equivalent load was designed based on a series of loads and the corresponding load occurrence probability.Thirdly,equivalent load was set as the design load for tooth modification design as the input parameter of the next step.Finally,two tooth modification design methods including improved method and traditional method were given.Combined with an example,an optimal design of tooth modification with the minimum amplitude of loaded transmission error and the mesh-in impact force was completed based on the genetic optimization algorithm to verify the validity of the equivalent load.The results show that the amplitude of loaded transmission error and the mesh-in impact force are effectively reduced after optimum tooth modification.The good transmission quality of modified gears can be ensured by the optimal tooth modification design under the designed equivalent load within the most working loads,especially in common working loads.Under the equivalent load,the most commonly used load,and the most loads in the working load range,the improved tooth modification design can reduce vibration and noise more effectively than the traditional modification design.

关 键 词：实测载荷谱 当量载荷 渐开线斜齿轮 减振修形设计 

分 类 号：TN132.41[电子电信—物理电子学]