| 最佳变分原理——模糊因子加权变分原理 |
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| 引用本文： | 牛庠均,姚传玺.最佳变分原理——模糊因子加权变分原理[J].北京工业大学学报,1991,17(2):31-37. |
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| 作者姓名： | 牛庠均 姚传玺 |
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| 作者单位： | 北京工业大学土木工程学系
(牛庠均)，山东建筑工程学院
(姚传玺)，北京工业大学建筑勘察设计院(康柯辛) |
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| 摘 要： | 采用模糊数学中有关从属函数与数学中变分法的概念、思路和方法,建立了一系列模糊因子加权变分原理。因而在数值求解过程中,可以通过不断修改模糊因子而达到改进数学模型的表示形式,改进解的精度取得理想逼近解的效果。同时,加权变分原理还将表达工程结构问题的数学模型统一于一式之中,这是最广泛的变分原理模式,对于编制统一大型通用程序系统,建立离散方程提供了基础。
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| 关 键 词： | 从属函数 对偶原理 加权变分原理 |
Variational Principles for Optimum -Weighted Variational Principles for Fuzzy Factor |
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| Niu Xiangjun.Variational Principles for Optimum -Weighted Variational Principles for Fuzzy Factor[J].Journal of Beijing Polytechnic University,1991,17(2):31-37. |
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| Authors: | Niu Xiangjun |
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| Affiliation: | Niu Xiangjun(Department of Civrl ngineering)Yao Chuanxi(Shandong Architecturaland Civil EngineeringInstitute)Rang Ke-xin(Institute of Architectural Explortion and Design) |
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| Abstract: | The weighted variational principles for fuzzy factor are established making use of some concept, thinking and waysin fuzzy mathamatics and calculus of variation. In the course of numerical analysis, the forms of mathematics are changed to obtain optimum approximation values of solution by way of the fuzzy factor of successive refinement. The weighted variational principles are the genera-lest forms of the variational principles, which unite the mathematical forms of engineering structure with one formula. It is fundamental to establish the discrete equations for the large general programme system. |
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| Keywords: | subordinate function dual principle weighted variational principle |
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