散点、域面MNO分析与半高法--以物理问题特高拱坝变形为例  

Analysis of Scattered Points and Domain Surface Based on MNO Principle and the Semi-height Method--Taking the Deformation of a Super-high Arch Dam in Physical Problems as an Example

作　　者：李瓒[1] 王民浩[2] Li Zan;Wang Minhao(Northwest Engineering Corporation Limited,Power China,Xi'an 710065,China;Power Construction Corporation of China,Beijing 100048,China)

机构地区：[1]中国电建集团西北勘测设计研究院有限公司,西安710065 [2]中国电力建设集团有限公司,北京100048

出　　处：《西北水电》2025年第1期1-13,共13页Northwest Hydropower

摘　　要：散点研究中,通常用数学回归方式求取吻合程度较高,R 2越接近1越好的方程作为最终方程。通过进行散点分析,建立点、面、线关系;在MNO原则控制下,用因素面积分析线性域M、非线性域N(二者和为实域)和调控域O(空域),求取基本标准函数(R 2=1),具体用半高分析获取最终标准函数,并对小湾特高拱坝变形进行了标准函数求解,画出了国内首条特高拱坝变形曲线。In the study of scattered points,the mathematical regression method is usually used to obtain an equation with a relatively high degree of fitting,and the closer the value is to 1,the better the equation is regarded as the final equation.Through the analysis of scattered points,the relationships among points,surfaces and lines are established.Under the control of the MNO principle,the linear domain M and the non-linear domain N(the sum of the two is the real domain)and the regulation domain O(the empty domain)are analyzed by using the factor area method,and the basic standard function(R 2=1)is obtained.Specifically,the semi-height analysis is used to obtain the final standard function,and the standard function for the deformation of the Xiaowan Super-high Arch Dam is solved,and the first deformation curve of a super-high arch dam in China is drawn.

关 键 词：MNO原则 点面问题 半高法 标准曲线 小湾特高拱坝变形 

分 类 号：TV145[水利工程—水力学及河流动力学]