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Hamilton体系在电磁涡流耗散系统建模中的应用研究
Study on Hamilton System in the Modeling of Electromagnetic Eddy Current Dissipation System
【摘要】 电磁涡流场问题的传统求解方法是按照电磁场基本理论来建立方程,并通过各种数值计算方法来求解,其缺点是计算量大,精度难以保证。文中从能量的角度出发,给出电磁涡流耗散系统的Hamilton函数;依据分析力学中Hamilton理论,推导出系统的正则方程,建立了涡流耗散系统问题求解的新模型。该建模方法将为电磁涡流问题的求解提供一条新途径。
【Abstract】 Traditional method of solving electromagnetic eddy current field is put forward equations according to basic electromagnetic theory. The equations are solved by different kinds of numerical computation method. The shortcomings of traditional method are huge calculation and unascertainable accuracy. Hamilton function is gained in system’s energy terms in the paper. A new mathematical model of eddy current dissipation system is founded by deriving the canonical equation according to the Hamilton theory in analytic mechanics. This modelling method will provide a new direction of solving electromagnetic eddy current problem.
【Key words】 Hamilton system; dissipative system; electromagnetic eddy current; system modeling;
- 【文献出处】 机械工程师 ,Mechanical Engineer , 编辑部邮箱 ,2014年07期
- 【分类号】O441.4
- 【被引频次】2
- 【下载频次】55