工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2014年
3期
324-340
,共17页
椭球冠%变位识别%检验%最小二乘法%数据拟合
橢毬冠%變位識彆%檢驗%最小二乘法%數據擬閤
타구관%변위식별%검험%최소이승법%수거의합
ellipsoid%deformation identification%test%least square method%data fitting
针对工程领域容器变位影响计量精度的问题,建立了两端椭球冠中间椭圆柱型容器的变位识别和容量表标定模型。首先,推导出容器内液体水平截面面积公式和容器内液体体积与探针刻度的函数关系;其次,建立模型,利用资料数据检验模型,分析误差变化规律并修正模型;最后,运用最小二乘法估计出罐体倾斜角度和偏转角度,得到两端球冠中间圆柱型容器的变位识别与容量表标定模型。
針對工程領域容器變位影響計量精度的問題,建立瞭兩耑橢毬冠中間橢圓柱型容器的變位識彆和容量錶標定模型。首先,推導齣容器內液體水平截麵麵積公式和容器內液體體積與探針刻度的函數關繫;其次,建立模型,利用資料數據檢驗模型,分析誤差變化規律併脩正模型;最後,運用最小二乘法估計齣罐體傾斜角度和偏轉角度,得到兩耑毬冠中間圓柱型容器的變位識彆與容量錶標定模型。
침대공정영역용기변위영향계량정도적문제,건립료량단타구관중간타원주형용기적변위식별화용량표표정모형。수선,추도출용기내액체수평절면면적공식화용기내액체체적여탐침각도적함수관계;기차,건립모형,이용자료수거검험모형,분석오차변화규률병수정모형;최후,운용최소이승법고계출관체경사각도화편전각도,득도량단구관중간원주형용기적변위식별여용량표표정모형。
In engineering areas, the measurement accuracy is often affected by the deformed position of a container, so we establish the model of deformed identification of container’s position and the calibration of capacity table in which the middle is cylindroid and two ends are ellipsoid. Firstly, we deduce an area formula of the level section of the liquid in the container, and the function relationship between the container’s liquid volume and the probe. Secondly, we test the established model through the data and analyze the deviation change to revise the model. Finally, by utilizing the least square method, we estimate the tilt angle and the deflexion angle of the container, which is cylindroid in the middle and spherical in the two ends, and we obtain the deformed identification model of the container’s position and the calibration of capacity table.