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基于降维可视化与Kriging的齿轮振动可靠性分析
Reliability analysis of gear vibration based on dimensionality reduction visualization and Kriging

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杨丽 1   佟操 2  
文摘 针对齿轮振动可靠性分析时计算量大、计算精度低等问题,提出一种基于降维可视化技术和Kriging模型的可靠性分析方法.通过Monte Carlo法生成抽样点,采用降维可视化技术将多维空间降至二维极特征空间,通过Kriging模型预测失效域与安全域的分界线,在预测分界线时,借助Kriging非线性预测和误差分析的特性,通过一种主动学习选点的方式建立Kriging预测模型,来提高样本点的利用率.通过齿轮振动可靠性的算例表明:相比于传统的降维可视化技术,调用极限状态函数由975次减少为149次,计算时间由12 400s减小为1 810s,可靠度与100000次Monte Carlo模拟计算结果基本吻合一致,验证了该算法的正确性和有效性.
其他语种文摘 To solve the problems of large computation and low precision during gear vibration reliability analysis,a reliability analysis method based on dimensionality reduction visualization and Kriging was proposed.Sample points were generated by Monte Carlo method. These points were transformed into two-dimensional pole feature space,and then Kriging model was used to predict the dividing line of safe and failure regions.When predicting the dividing line,an active learning approach of selecting points was introduced to establish Kriging model so that the utilization rate of sample points was improved dramatically,thanks to the properties of nonlinear prediction and error estimation of Kriging.Through gear vibration reliability analysis,and by comparing with traditional dimensionality reduction visualization technique,it is shown that the number of calls to the performance function changes from 975numbers to 149numbers,and calculation time changes from 12 400sto 1 810s.What's more,the result of this method is consistent with that of 100000Monte Carlo simulation,so the efficiency and correctness is validated.
来源 航空动力学报 ,2016,31(4):993-999 【核心库】
DOI 10.13224/j.cnki.jasp.2016.04.028
关键词 可靠性分析 ; 降维可视化 ; Kriging模型 ; 齿轮 ; 非线性振动
地址

1. 沈阳理工大学装备工程学院, 沈阳, 110159  

2. 中国科学院沈阳自动化研究所, 沈阳, 110016

语种 中文
文献类型 研究性论文
ISSN 1000-8055
学科 一般工业技术;航空
基金 国家自然科学基金 ;  辽宁省教育厅科学研究计划项目 ;  沈阳理工大学重点实验室开放基金
文献收藏号 CSCD:5695736

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引证文献 3

1 杨丽 基于Kriging模型和遗传算法的齿轮修形减振优化 航空动力学报,2017,32(6):1412-1418
被引 5

2 张泽斌 基于自组织映射的高维优化参变量相关性研究 西北工业大学学报,2020,38(3):677-684
被引 1

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