小位移旋量和响应面法相结合的齿轮公差分析模型构建方法
发布时间：2019-03-13 18:15
【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。
[Abstract]:In order to carry out gear tolerance analysis and optimization more efficiently and reasonably, a model construction method of gear tolerance analysis based on the combination of small displacement spinor and response surface method is proposed. Taking the gear mounting tolerance as an example, according to the gear precision standard, the mathematical model of gear mounting tolerance is established by using the theory of small displacement spinor tolerance modeling. Based on the tolerance model and the principle of tooth surface contact analysis, a simulation program for tooth surface contact analysis with errors is developed, and the influence of different variable factors on the transmission error is analyzed. The second-order response surface approximation model between gear tolerance variation factor and transmission error is established by using Latin hypercube test method and least square method. Thus, the gear tolerance analysis model is obtained. The result of example analysis shows that this method has high modeling precision and good practicability, which can be used as reference for gear tolerance analysis and synthesis.
【作者单位】： 合肥工业大学机械工程学院;
【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)
【分类号】：TG801
本文编号：2439644
[Abstract]:In order to carry out gear tolerance analysis and optimization more efficiently and reasonably, a model construction method of gear tolerance analysis based on the combination of small displacement spinor and response surface method is proposed. Taking the gear mounting tolerance as an example, according to the gear precision standard, the mathematical model of gear mounting tolerance is established by using the theory of small displacement spinor tolerance modeling. Based on the tolerance model and the principle of tooth surface contact analysis, a simulation program for tooth surface contact analysis with errors is developed, and the influence of different variable factors on the transmission error is analyzed. The second-order response surface approximation model between gear tolerance variation factor and transmission error is established by using Latin hypercube test method and least square method. Thus, the gear tolerance analysis model is obtained. The result of example analysis shows that this method has high modeling precision and good practicability, which can be used as reference for gear tolerance analysis and synthesis.
【作者单位】： 合肥工业大学机械工程学院;
【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)
【分类号】：TG801
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