Simon4159870717 Posted April 10, 2023 Report Share Posted April 10, 2023 On a horizontal plane, there is a circular magnet and a lot of steel balls, what mathematical method can be used to express the distribution of these steel balls' positions? It can be many lays balls around the magnet center, is that posible to calculate each ball location? Quote Link to comment Share on other sites More sharing options...

OceanBreeze Posted April 14, 2023 Report Share Posted April 14, 2023 The mathematical procedure that may have the best fit to your question is this: A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach. But even this approach cannot calculate the location of each individual steel ball. The best it can do is calculate the geometry of the overall structure of the magnetic field, and even this would be limited to a small number of steel balls in the field. In brief, I believe the problem that you posed; the way you expressed it, is unsolvable. Quote Link to comment Share on other sites More sharing options...

Simon4159870717 Posted June 19, 2023 Author Report Share Posted June 19, 2023 On 4/14/2023 at 5:49 AM, OceanBreeze said: The mathematical procedure that may have the best fit to your question is this: A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach. But even this approach cannot calculate the location of each individual steel ball. The best it can do is calculate the geometry of the overall structure of the magnetic field, and even this would be limited to a small number of steel balls in the field. In brief, I believe the problem that you posed; the way you expressed it, is unsolvable. Thanks for replying, and sorry to hear that unsolvable. If: we got the magnet size, the steel balls size, steel ball number, we can get a only one result, so I think we can use math to figure it out, Quote Link to comment Share on other sites More sharing options...

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