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软岩粗颗粒填料级配指标的一种优化计算方法

发表时间:2009-01-31  浏览量:1941  下载量:668
全部作者: 王永和,李继超,卿启湘
作者单位: 中南大学土木建筑学院;中冶成都勘察研究总院有限公司;湖南大学机械与运载工程学院
摘 要: 通过软岩粗颗粒填料的颗粒分析试验,对试验数据进行多项式拟合。相比传统的手工作图法,本文基于最小二乘法和牛顿迭代法原理,通过对试验数据的处理,结合Excel软件对试验数据分别进行二次、三次、四次多项式曲线拟合和逐次迭代,能够比较准确地获得软岩弃碴填料的不均匀系数Cu和曲率系数Cc,确定其级配是否优良。分析表明:粒径与累计百分含量的关系符合三次多项式关系,基于最小二乘法和牛顿迭代法原理的Excel软件对于级配关系的处理方法简单实用,可望在土木工程试验中得到推广和应用。
关 键 词: 土木工程;曲线拟合;最小二乘法;牛顿迭代法;不均匀系数;曲率系数
Title: An optimum calculation method about grading index of soft rock filling
Author: WANG Yonghe, LI Jichao, QING Qixiang
Organization: School of Civil Engineering and Architecture, Central South University; Chengdu Surveying Geotechnical Research Institute Co. Ltd. of Metallurgy Construction in China; College of Mechanical and Vehicle Engineering, Hunan University
Abstract: Through the particle analysis tests of coarse grained soft rock fillings, the test data were fit by polynomial equations. Comparing with the traditional manual drawing method, this paper introduces a new way, through analyzing the test data, to process curve fitting and gradual iteration by means of the Excel software on the base of the least square method and the Newton iteration method. This way can calculate exactly nonuniformity coefficient Cu and curvature coefficient Cc of soft rock filling in order to ascertain the rationality of filling’s gradation. It is proved that the relationship between grain size and accumulate percent is fit to the cubic polynomial. The way to deal with it based on the least square method and the Newton iteration method is simple and effective, and can be popularized and applied in the processing of test data.
Key words: civil engineering; curve fitting; least square method; Newton iteration method; nonuniformity coefficient; curvature coefficient
发表期数: 2009年1月第2期
引用格式: 王永和,李继超,卿启湘. 软岩粗颗粒填料级配指标的一种优化计算方法[J]. 中国科技论文在线精品论文,2009,2(2):146-149.
 
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