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能量计算的双界原理及其应用
引用本文:王树萱,杨翼智,王纪龙.能量计算的双界原理及其应用[J].太原理工大学学报,1992(1).
作者姓名:王树萱  杨翼智  王纪龙
作者单位:太原工业大学应用数理力学系,太原工业大学应用数理力学系,太原工业大学应用数理力学系
摘    要:本文论述了能量计算的双界原理,分析了拉格朗日乘子对能量泛函驻值的影响,推导出了恒定磁场能量的凸泛函和凹泛函。并计算了复杂截面电流磁场能量的上、下界,以及相应的等效电感。

关 键 词:能量计算  双界能量原理  电感计算

The Dual Energy Principle in Energy Calculation and Its Application
Wang Shuxuan Yang Yizhi Wang Jilong.The Dual Energy Principle in Energy Calculation and Its Application[J].Journal of Taiyuan University of Technology,1992(1).
Authors:Wang Shuxuan Yang Yizhi Wang Jilong
Institution:Department of Applied Science and Mechanics
Abstract:The dual energy principle in energy calculation is recounted in this paper.The convex functional and the concave-functional of static magnetic fields are developed by analyzing the influence of Lagrange's multipliers on the stationary values of energy functional.The upper bound and lower bound of the magnetic field energy,caused by the current going through the cross section of complex shape and the equivalent inductance corresponding to the magnetic field are calculated.
Keywords:energy calculation  dual energy principle  inductance calculation  
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