3D Analytical Calculation of the Interactions between Permanent Magnets
نویسنده
چکیده
Up to now, the analytical calculation has been made only when the magnets own parallel magnetization directions. We have succeeded in two new results of first importance for the analytical calculation: the torque between two magnets, and the force components and torque when the magnetization directions are perpendicular. The last result allows the analytical calculation of the interactions when the magnetizations are in all the directions. The 3D analytical expressions are difficult to obtain, but the torque and force expressions are very simple to use. As example the analytical expression can be included in optimization software allowing to directly obtaining the shape optimization by a fast way.
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