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响应面法不确定性参数对行星架静强度的影响
引用本文:常涛,孙义忠,何爱民,王红,张迅.响应面法不确定性参数对行星架静强度的影响[J].重庆大学学报(自然科学版),2016,39(3):163-170.
作者姓名:常涛  孙义忠  何爱民  王红  张迅
作者单位:南京高速齿轮制造有限公司,南京,211000
摘    要:不确定性参数对行星架静强度的影响,取行星架强度最薄弱的部位—前轴承支座挖根(清根处)为研究对象,采用参数方差分析法从不确定性参数中挑选显著参数,并利用D最优抽样法选取样本点组合,计算精细有限元模型清根处应力响应值,继而基于最小二乘估计建立多项式回归响应面模型。基于快速响应面模型,利用蒙特卡洛模拟法和统计分析法研究显著性参数过盈量、铸造圆角和腹板公差对清根处第一主应力的影响,并从可靠度角度对清根处静强度进行评估。研究发现过盈量和前后腹板偏差的离散性对清根处静强度影响明显,同时行星架可靠度达到99.3%,表明在考虑了GL和IEC安全系数后,行星架可靠度仍然非常高。

关 键 词:齿轮箱  响应面法  不确定性参数  可靠度
收稿时间:2015/11/6 0:00:00

The influence of uncertain parameters on the static strength ofplanet carrier based on response surface method
CHANG Tao,SUN Yizhong,HE Aiming,WANG Hong and ZHANG Xun.The influence of uncertain parameters on the static strength ofplanet carrier based on response surface method[J].Journal of Chongqing University(Natural Science Edition),2016,39(3):163-170.
Authors:CHANG Tao  SUN Yizhong  HE Aiming  WANG Hong and ZHANG Xun
Institution:Nanjing High Speed Gear Manufacturing Co. Ltd, Nanjing 210000, P. R. China,Nanjing High Speed Gear Manufacturing Co. Ltd, Nanjing 210000, P. R. China,Nanjing High Speed Gear Manufacturing Co. Ltd, Nanjing 210000, P. R. China,Nanjing High Speed Gear Manufacturing Co. Ltd, Nanjing 210000, P. R. China and Nanjing High Speed Gear Manufacturing Co. Ltd, Nanjing 210000, P. R. China
Abstract:In order to research the influence of uncertain parameters on the static strength of planet carrier, we took the relief cut as the research object, and found out sensitive parameters from uncertain parameters using the standard deviation analysis method. D-OPT method was used to sample these parameters, the maximum principal stress was calculated by using fine FEM model, and then the polynomial response surface could be build based on these samples. Based on the fast response surface function, the Monte Carlo method and the statistical analysis were introduced to analyze the influence of sensitive parameters (interference, blend R1 and thickness tolerance) on the maximum principal stress, and the reliability of the static strength was evaluated. The results show that the discreteness of the interference and the thickness tolerance has obvious influence on the static strength. And the reliability of the planet carrier reaches 99.3%, which means the reliability is very high even if the reduction coefficients of GL and IEC are considered.
Keywords:gearbox  response surface method  uncertain parameter  reliability
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