呂國芳 常培晶 田正宏

關(guān)鍵詞： 相關(guān)系數(shù)剔除法; 加權(quán)最小二乘法; 流變儀; 測控系統(tǒng); 線性回歸; 粗大誤差剔除法

中圖分類號： TN06?34 ? ? ? ? ? ? ? ? ? ? ? ? 文獻(xiàn)標(biāo)識(shí)碼： A ? ? ? ? ? ? ? ? ? ? ? ? ? 文章編號： 1004?373X（2019）03?0173?04

Abstract： The rheological parameters are obtained by means of linear regression of torque values in the rheological measurement and control system. Since the slope and intercept obtained by linear regression has poor tolerance for external disturbances， the correlation coefficient elimination method is proposed. This method can restrain the external interference according to the correlation coefficient of linear regression. The weighted least square method is used for linear regression. The result of field test is used to evaluate the effect of data processing. The result shows that the correlation coefficient elimination method can improve the correlation coefficients of linear regression obviously， and the rheological parameters obtained by weighted least square method are more stable than those of ordinary least square method.

Keywords： correlation coefficient elimination method; weighted least square method; rheometer; measurement and control system; linear regression; coarse error elimination method

4 ?結(jié) ?語

本文首先采用拉依達(dá)準(zhǔn)則對采集到的原始扭矩值[Mi，k]進(jìn)行粗大誤差處理，抑制震動(dòng)產(chǎn)生的影響;然后利用均值法抑制電磁干擾白噪音，獲得[Mi];再采用相關(guān)系數(shù)剔除法對剪切應(yīng)力[τi]和剪切速率[γ′i]進(jìn)行異常點(diǎn)剔除，抑制由于混凝土不均勻?qū)е碌挠绊?最后根據(jù)絕對殘差倒數(shù)作為權(quán)重系數(shù)[wi]進(jìn)行加權(quán)最小二乘法線性回歸，得到屈服應(yīng)力[τ0]和塑性粘度[η]，增加了流變參數(shù)的穩(wěn)定性。

參考文獻(xiàn)

[1] 田正宏，井錦旭.混凝土流變參數(shù)十字?jǐn)嚢栎S測試方法[J].建筑材料學(xué)報(bào)，2013，16（6）：949?954.

TIAN Zhenghong， JING Jinxu. Test method of cross vane shear apparatus on rheological parameters of concrete mixture [J]. Journal of building materials， 2013， 16（6）： 949?954.

[2] 任怡錦，呂國芳，田正宏.LabVIEW與PLC結(jié)合在混凝土工作性測控儀中的應(yīng)用[J].電子設(shè)計(jì)工程，2016，24（19）：107?110.

REN Yijin， L? Guofang， TIAN Zhenghong. Application of LabVIEW and PLC in the measure and controller of concrete workability [J]. Electronic design engineering， 2016， 24（19）： 107?110.

[3] 黃大能.流變學(xué)與泵送混凝土[J].混凝土與水泥制品，1992（1）：4?6.

HUANG Daneng. Rheology and pumping of concrete [J]. China concrete and cement products， 1992（1）： 4?6.

[4] 任怡錦.新拌混凝土工作性測控系統(tǒng)的研究[D].南京：河海大學(xué)，2017.

REN Yijin. Research on the control system of fresh concrete workability [D]. Nanjing： Hohai University， 2017.

[5] 呂國芳，韋剛，田正宏.基于LabVIEW的混凝土工作性測控系統(tǒng)數(shù)據(jù)采集處理[J].國外電子測量技術(shù)，2017，36（10）：97?100.

L? Guofang， WEI Gang， TIAN Zhenghong. Data acquisition and processing of concrete workability detection system based on LabVIEW [J]. Electronic measurement technology， 2017， 36（10）： 97?100.

[6] 劉君華.現(xiàn)代檢測技術(shù)與測試系統(tǒng)設(shè)計(jì)[M].西安：西安交通大學(xué)出版社，1999.

LIU Junhua. Modern testing technology and design of test system [M]. Xian： Xian Jiaotong University Press， 1999.

[7] 盛驟，謝式千，潘承毅.概率論與數(shù)理統(tǒng)計(jì)[M].北京：高等教育出版社，2008.

SHENG Zhou， XIE Shiqian， PAN Chengyi. Probability and mathematical statistics [M]. Beijing： Higher Education Press， 2008.

[8] 趙冬青，趙振峰.基于改進(jìn)最小二乘法的發(fā)動(dòng)機(jī)實(shí)驗(yàn)數(shù)據(jù)處理[J].中北大學(xué)學(xué)報(bào)（自然科學(xué)版），2009，30（4）：338?342.

ZHAO Dongqing， ZHAO Zhenfeng. Application of improved robust least?square method to experimental data processing of engine [J]. Journal of North University of China （natural science）， 2009， 30（4）： 338?342.

[9] 范文博，王文龍.最小二乘直線擬合方法及其在同位素地質(zhì)年代學(xué)中的應(yīng)用研究[J].地質(zhì)論評，2013，59（5）：801?814.

FAN Wenbo， WANG Wenlong. Least squares linear fitting method and its application in isotopic geochronology [J]. Geological review， 2013， 59（5）： 801?814.

[10] LI Zeyuan. Constrained weighted least squares location algorithm using received signal strength measurements [J]. China communications， 2016（4）： 81?88.