发表机构
Robert Bosch GmbH; Technische Universität Darmstadt（罗伯特博世有限公司; 达姆施塔特工业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究针对广义普朗特-伊什林斯基停止型算子计算量大的问题，提出简化热力学公式，用恒等映射取代非线性映射，保留非滞后响应。各向同性情况下有封闭解，集成到有限元求解器后显著减少计算时间且精度与广义模型相当。
AI 中文摘要
虽然热力学公式化的广义普朗特-伊什林斯基停止型算子能有效捕捉滞后非线性，但更新每个滞回元件需局部迭代过程，计算量较大。本文提出广义普朗特-伊什林斯基停止算子的简化热力学公式。用恒等映射取代停止算子上的非线性映射，通过输出直接加权滞后算子，同时完全保留由斜坡死区基函数表示的非线性非滞后响应。对于各向同性情况，这种简化使局部塑性校正有封闭形式解，消除了每个滞回元件的迭代牛顿更新。将所得本构映射集成到有限元求解器中，数值结果表明计算时间显著减少，精度与广义模型相当。
英文摘要
While the thermodynamically formulated generalized Prandtl-Ishlinskii stop-type operator effectively captures hysteresis nonlinearities, it requires a local iterative procedure to update each hysteron, resulting in considerable computational effort. In this work, we propose a simplified thermodynamic formulation of the generalized Prandtl-Ishlinskii stop operator. The nonlinear mapping on the stop operator is replaced by an identity, such that the hysteresis operators are directly weighted through their outputs, while the nonlinear anhysteretic response, represented by ramp dead-zone basis functions, is fully preserved. For isotropic cases, this simplification enables a closed-form solution for the local plastic correction, eliminating per-hysteron iterative Newton updates. The resulting constitutive mapping is integrated into a finite element solver, and numerical results show a significant reduction in computation time with accuracy comparable to the generalized model.
Comments4 pages, 11 figures
Journal refIEEE Transactions on Magnetics, 2026
