刘光磊,刘则良.弧齿锥齿轮传动误差曲线的双层优化法[J].农业机械学报,2012,43(7):223-227,222.
Liu Guanglei,Liu Zeliang.Dual-layer Optimization for Transmission Errors of Spiral Bevel Gears[J].Transactions of the Chinese Society for Agricultural Machinery,2012,43(7):223-227,222.
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弧齿锥齿轮传动误差曲线的双层优化法   [下载全文]
Dual-layer Optimization for Transmission Errors of Spiral Bevel Gears   [Download Pdf][in English]
  
DOI:10.6041/j.issn.1000-1298.2012.07.041
中文关键词:  弧齿锥齿轮  传动误差  双层优化  局部综合  轮齿接触分析
基金项目:国家“APTD”计划资助项目(APTD—1001B)
作者单位
刘光磊 西北工业大学 
刘则良 西北工业大学 
中文摘要:针对轮齿啮合分析得到的传动误差曲线与预置的对称抛物线型传动误差曲线的差别,提出了弧齿锥齿轮传动误差曲线的双层优化法。分为外层优化和内层优化,两者交替进行。在内层,基于局部综合法设计小轮机床加工参数,进行轮齿啮合分析,获得传动误差曲线和齿面接触印痕。为了保证实际传动误差曲线与理论传动误差曲线在最小二乘意义下吻合,建立吻合度目标函数,通过调整加工小轮时的4个高阶变性系数,消除轮齿啮合分析得到的实际传动误差曲线与理论传动误差曲线的差距。在外层,为了保证传动误差曲线对称,建立对称度目标函数,通过调整齿面参考点沿齿高的位置,使传动误差曲线两侧对称。以某弧齿锥齿轮副为例进行验证计算。结果表明,双层优化法能够实现预置的对称抛物线型传动误差曲线。
Liu Guanglei  Liu Zeliang
Northwestern Polytechnical University;Northwestern Polytechnical University
Key Words:Spiral bevel gears  Transmission errors  Dual-layer optimization  Local synthesis  Tooth contact analysis
Abstract:In order to narrow the margin between the predetermined symmetrical parabola transmission error curve (TEC) and that of tooth contact analysis (TCA), a dual-layer method was proposed for the TEC optimization of spiral bevel gears. The method consisted of inner and outer layer optimizations which were conducted in turn. In inner layer optimization, pinion machine-tool settings were obtained based on local synthesis and TCA was carried out which gave TEC and contact pattern. An agreement objective was set up. The difference between TCA TEC and that of the theoretical one was diminished in least square sense to ensure agreement by tuning the four higher order modified roll coefficients in the relative motion formula linking the pinion and its cradle. In outer layer optimization, a symmetrical optimization objective was set up. The number of meshing points on the left and right branches of TCA TEC has been regulated until equal to each other to ensure symmetry by adjusting the displacement of the mean contact point along tooth depth. The method brought up is validated for a pair of spiral bevel gears. The results show that the method corresponding to the symmetry and agreement is indeed effective for TEC optimization of spiral bevel gears.

Transactions of the Chinese Society for Agriculture Machinery (CSAM), in charged of China Association for Science and Technology (CAST), sponsored by CSAM and Chinese Academy of Agricultural Mechanization Science(CAAMS), started publication in 1957. It is the earliest interdisciplinary journal in Chinese which combines agricultural and engineering. It always closely grasps the development direction of agriculture engineering disciplines and the published papers represent the highest academic level of agriculture engineering in China. Currently, nearly 8,000 papers have been already published. There are around 3,000 papers contributed to the journal each year, but only around 600 of them will be accepted. Transactions of CSAM focuses on a wide range of agricultural machinery, irrigation, electronics, robotics, agro-products engineering, biological energy, agricultural structures and environment and more. Subjects in Transactions of the CSAM have been embodied by many internationally well-known index systems, such as: EI Compendex, CA, CSA, etc.

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