arXiv Machine Learning By Junyi Li, Tim Foissner, Floran Martin, Antti Piippo, Marko Hinkkanen

Gradient Networks for Universal Magnetic Modeling of Synchronous Machines

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arXiv:2602. 14947v2 Announce Type: replace-cross Abstract: This paper presents a physics-constrained neural network framework for dynamic modeling of saturable synchronous machines, including spatial harmonics.

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arXiv Machine Learning
Sep 25

AFT Neural Function Approximators for 1D Nonlinear Force Laws

The paper proposes using neural networks to replace the iterative force evaluation in the harmonic balance method for systems with nonlinear contacts and friction. These networks map displacement Fourier coefficients directly to nonlinear force coefficients and supply Jacobians via automatic differentiation, allowing the existing solver and continuation algorithms to remain unchanged. By learning individual nonlinear elements—such as cubic, unilateral, and Jenkins springs—under physics‑based nondimensionalization and phase normalization, a single trained network can handle a wide range of parameters, enabling a reusable library of nonlinear‑element surrogates for complex mechanical systems.

By Miriam Goldack, Johann Gro{\ss}, Malte Krack, Merten Stender