摘要
采用网络分析构建差分方程模型的方法,实现了多边形电阻网络等效电阻的统一建构,获得了简洁的通用公式,并且给出了用费波那契数列表达的结果,同时将多边形概念拓展到非平直空间的二边形(二角形).最后,将所得结果与相关结果进行了比较.所得结论也适用于规则联接的多边形电容网络.
A laconic general formula of equivalent resistance of polygon resistance network is gotten by analyzing the network, and a simple expression of Fibonacci Sequence is acquired in the meantime. The polygon concept is also expanded to two-side structure of the non-euclid space, the results are compared with connected argument. The conclusion is also applicable to some regularly connected polygon capacitor networks.
出处
《河北师范大学学报（自然科学版）》
CAS
北大核心
2011年第2期140-144,共5页
Journal of Hebei Normal University：Natural Science
基金
江苏省教育科学"十一五"规划课题(D/2009/01/127)
关键词
规则多边形
网络分析
等效电阻
统一建构
非平直空间
费波那契数列
二边形
regular polygon
network analyse
equivalent resistance
unify structure
non-euclid space
Fibonacci sequence
two-side structure
