基于多项式混沌展开的非线性系统试验不确定度评定方法  

UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION

作　　者：余慧杰[1] 朱悦晨 王海华 王神龙 徐世鹏 丁晓红[1] YU HuiJie;ZHU YueChen;WANG HaiHua;WANG ShenLong;XU ShiPeng;DING XiaoHong(School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Yanfeng Adient Seating Co.,Ltd.,Shanghai 201315,China)

机构地区：[1]上海理工大学机械工程学院,上海200093 [2]延锋安道拓座椅有限公司,上海201315

出　　处：《机械强度》2022年第4期772-780,共9页Journal of Mechanical Strength

基　　金：国家自然科学基金青年项目(11602142)资助。

摘　　要：非线性系统试验结果的不确定性分析表征了试验结果的分散性。提出一种基于多项式混沌展开的非线性系统试验不确定度评定方法,通过Ishigami测试模型将该评定方法与国家标准《用蒙特卡罗法评定测量不确定度》中规定的方法进行了比较,结果表明,提出的方法拥有更高的精度及效率。以座椅安全带固定点试验为例,采用多项式混沌展开法建立试验的代理模型,实现了安全带固定点试验的测量不确定度的评定。针对样本数不足的问题,分别采用改进的双曲线截断技术以及基于多项式混沌展开模型的Sobol灵敏度分析对模型简化,结果表明,提出的两种简化方法均能明显降低模型对样本的需求。研究结果表明,提出的多项式混沌展开及其简化方法可广泛用于各种产品试验的不确定度评定中。The uncertainty analysis of test results of nonlinear system shows the dispersion of test results.In this paper,an evaluation method of test uncertainty of nonlinear system based on polynomial chaos expansion is suggested.The evaluation method is compared with the method specified in the national standard Monte Carlo Method for Evaluation of Measurement Uncertainty through Ishigami test model.The results show that the suggested method has higher accuracy and efficiency.Taking the seat belt anchorages test as an example,the surrogate model of the test is established by polynomial chaos expansion method,and the uncertainty evaluation of the test is realized.To solve the problem of insufficient sample size,the improved hyperbolic truncation technique and Sobol sensitivity analysis based on polynomial chaos expansion model are used to simplify the model.The results show that the two simplified methods can significantly reduce the demand for samples size.The results show that polynomial chaos expansion and its simplification can be widely applied to the uncertainty analysis for various product tests.

关 键 词：测量不确定度 多项式混沌展开 安全带固定点试验 非线性系统试验 

分 类 号：TG707[金属学及工艺—刀具与模具] TB9[一般工业技术—计量学]