机电系统磁场计算的新标准元件类型

A. V. Pashkovskiy, A. Tkachev, U. A. Bahvalov
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引用次数: 4

摘要

通过引入新型的三角形标准单元,实现了标准单元法的进一步发展。给出了定义三角形标准单元边值问题所需通解与其在单元边界上的法向导数值之间精确“连接”的算子。它展示了如何用边界上解的节点值来表示标准元素中的解的表示。通过试验边值问题的解析解和数值解,评价了采用标准三角单元的标准单元法在不与有限元法结合的情况下计算位场的精度。
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New standard element types for magnetic field calculation in the electromechanical system
Further development of the standard element method by the introduction of new types of the triangular shape standard elements is realized. The operators defining the exact “connection” for boundary value problems in the triangle standard elements between the required general solution and the values of its normal derivative on the boundary of an element are found. It is shown how a representation of solutions in standard elements is expressed in terms of the nodal values of the solution on their borders. The accuracy of the standard element method using standard triangular elements in relation to the calculation of the potential field without combining with the finite element method is evaluated on the analytical and numerical solutions of the test boundary value problem.
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