摘要
采用建立数学模型的方法,提出一种曲面最佳适配的不确定度模型.为了确定曲面误差与不确定度参数之间的关系,推导了曲面最佳适配的灵敏度矩阵.采用矩阵的奇异值分解原理,对曲面最佳适配的灵敏度矩阵进行分解,得到不确定度参数与测点随机误差的关系表达式.根据分析结果得知,每一个不确定度参数是测点随机误差的线性组合.
An uncertainty model of best fit of surface was presented by using mathematically modeling method. In order to investigate the relationship between the surface geometric errors and the uncertainty parameters, the sensitivity matrix was deduced. The sensitivity matrix was then decomposed by singular value decomposition （SVD） method, and the relationship between the surface geometric errors and the uncertainty parameters was formulated. From the formula, it can be inferred that each uncertainty parameter is a linear combination of the random errors at the measurement points.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2005年第9期56-58,共3页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家高技术研究发展计划资助项目(2002AA424012).
关键词
曲面
奇异值分解
最佳适配
不确定度
freeform surface
singular value decomposition
geometric best fit
uncertainty
