摘要
为了更高效更合理地开展齿轮公差分析及优化,提出一种小位移旋量与响应面法相结合的齿轮公差分析模型构建方法。以齿轮安装公差为例,依据齿轮精度标准,利用小位移旋量公差建模理论建立了齿轮安装公差数学模型;基于该公差模型,结合齿面接触分析原理编制了计及误差的齿面接触分析模拟程序,并分析了不同变动要素对传动误差的影响;利用拉丁超立方试验方法采样并结合最小二乘法,构建了齿轮公差变动要素与传动误差之间的二阶响应面近似模型,从而得到了齿轮公差分析模型。实例分析结果表明:该方法建模精度较高,实用性好,可为齿轮公差分析和综合等提供参考。
To conduct tolerance analysis of gears more effectively and reasonably, a new tolerance analysis modeling approach for gears based on small displacement torsor （SDT） and response surface method is proposed. Taking the installation tolerance of a gear for example, the mathematical model for installation tolerance of the gear is built based on SDT theory and in accordance with gear precision standard. Based on this model and tooth contact analysis （TCA）, a simulation program considering the errors is coded and the effects of different variation factors on transmission error are analyzed. A second-order response surface approximate model of gear transmission error is built based on Latin hypercube sampling and the least squares method, hence the tolerance analysis model of gears is obtained. An example is analyzed and the result indicates that the proposed method has high modeling accuracy and good practicability, and may provide a reference for gear tolerance analysis and synthesis.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2017年第9期77-84,91,共9页
Journal of Xi'an Jiaotong University
基金
国家国际科技合作专项资助项目(2014DFA80440)
国家自然科学基金资助项目(51305116)
安徽省自然科学基金资助项目(1408085MKL12)
关键词
齿轮
公差分析
公差建模
小位移旋量
响应面法
gear
tolerance analysis
tolerance modeling
small displacement torsor
response surface method
作者简介
黄康（1968-），男，教授，博士生导师；
徐锐（通信作者），男，博士生。
