| 给水管网的分形特征研究 |
| |
| 引用本文： | 赵鹏,张宏伟,田一梅.给水管网的分形特征研究[J].给水排水,2007,33(8):117-121. |
| |
| 作者姓名： | 赵鹏 张宏伟 田一梅 |
| |
| 作者单位： | 天津大学环境科学与工程学院,天津,300072;天津大学环境科学与工程学院,天津,300072;天津大学环境科学与工程学院,天津,300072 |
| |
| 基金项目： | 国家自然科学基金
,
高等学校博士学科点专项科研项目 |
| |
| 摘 要： | 在研究给水管网分形维数的基础上,结合我国不同地区的给水管网分析了给水管网的分形规律.从功能、结构和自相似性三方面,同自然界中广泛存在的具有分形特征的物质流输送系统进行比较,阐述了给水管网的分形特征.并基于盒计数法提出了给水管网分形维数的计算方法,计算了实例管网的分形维数.计算结果表明给水管网是分形体,具有分形特征.同时,分析了影响给水管网分形维数的因素并构建了给水管网分形维数的计算方程.
|
| 关 键 词： | 给水管网 规划 分形 分形维数 |
| 修稿时间： | 2007年1月30日 |
Fractal features of water distribution networks |
| |
| Zhao Peng,Zhang Hongwei,Tian Yimei.Fractal features of water distribution networks[J].Water & Wastewater Engineering,2007,33(8):117-121. |
| |
| Authors: | Zhao Peng Zhang Hongwei Tian Yimei |
| |
| Abstract: | Based on the principle of fractal dimensions the fractal features of water distribution networks of some regions in this country were studied.The fractal characters of the distribution networks were compared with that of the transmission system of mass flow in nature at the aspects of the function,structure and self-similar.The method to calculate the fractal dimension of water distribution networks was put forward founded on box-counting algorithm.Then it was used for some cases,and the conclusion indicated that the water distribution networks are fractal.Furthermore,factors deciding the fractal dimension were analyzed and the equation to calculate the dimension was founded. |
| |
| Keywords: | Water distribution networks Planning Fractal Fractal dimension |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
