用矩形截面環(huán)單元計(jì)算軸對(duì)稱場(chǎng)的有限元法
A FINITE ELEMENT METHOD USING RING UNIT WITH RECTANGULAR CROSS-SECTION TO NUMERICALLY ANALYZE THE AXIALLY SYMMETRIC ELECTROMAGNETIC FIELD
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摘要: 在具有軸對(duì)稱特性電磁場(chǎng)的數(shù)值分析中,用矩形截面環(huán)單元分析具有比其他單元更多的優(yōu)點(diǎn)。本文推導(dǎo)出了該單元的拉普拉斯方程、泊松方程和波動(dòng)方程的單元特征式。并運(yùn)用該單元成功地分析了圓柱形電容器的場(chǎng)結(jié)構(gòu)和加載同軸腔端部的電容值和品質(zhì)因數(shù)。
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關(guān)鍵詞:
Abstract: In the numerical analysis of axially symmetry electromagnetic field, the finite element method using ring unit with rectangular cross -section has more advantages than other methods. The ring unit characteristic equations in relation to Laplace s, Poissou s and Helmholtz s equa.tions are derived. Using this method, the field structure of cylindrical capacitor and the capacitance and quality factor of the end of laded eoaxial cavity are successfully analyzed. -
J. Brian, F. Anibal and G. Y. Philippou, IEEE Trans. on MTT, MTT-30 (1982), 1976.[2]曾余庚,徐國(guó)華,宋國(guó)鄉(xiāng)編著,電磁場(chǎng)有限單元法,科學(xué)出版社,1982年,第八章,第五章,第六章.[3]馮慈章主編,電磁場(chǎng),人民教育出版社,1979年,第一章.[4]盛劍霓等編著,電磁場(chǎng)數(shù)值分析,科學(xué)出版社,1984年,第二章.[5]R. F. Harrington著,孟侃譯,正弦電磁場(chǎng),上?？茖W(xué)技術(shù)出版社,1964年,第二章. -
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