A fast algorithm for nonlinear finite element analysis using equivalent magnetization current A parallel conjugate gradients algorithm for finite element analysis of electromagnetic fields New nonlinear algorithms are presented that use the given material B-H curve directly, rather than converting it to a reluctivity Y = (H/B) vs B2 curve as is common. In addition to full Newton-Raphson iteration, also discussed are modified Newton-Raphson iteration, quasi-Newton iteration, and line search algorithms. Full Newton-Raphson iteration with the new direct B-H algorithm is shown in most typical small 3D and 2D magnetostatic problems to achieve convergence in a much smaller number of iterations than the Y vs B2 algorithm.
Mechanical stress versus time is computed by
ELECTROMAGNETIC SOLUTIONcoupled electromagnetic and structural finite element analysis. The theory of the stress computations, including Maxwell stress tensors, is presented. The method is applied to an actuator driven by a step acvoltage. After verifying the calculated current and motion, the computed stress distribution is shown to depend on the placement of the nonlinear springs moved by the actuator.
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