论文标题
关于谐波迫击炮方法的稳定性,并应用于电机
On the stability of harmonic mortar methods with application to electric machines
论文作者
论文摘要
谐波定子连杆耦合为电机模拟中旋转子系统的互连提供了一种有希望的方法。本文研究了基于砂浆方法框架中的谐波耦合的离散化方案的稳定性。得出了一般标准,该标准允许确保各种特定离散方法的相关INF-SUP稳定性条件,包括有限元方法和以及谐波迫击炮耦合的iSOOGEOMETIC分析。理论结果的有效性和清晰度通过数值检验证明。
Harmonic stator-rotor coupling offers a promising approach for the interconnection of rotating subsystems in the simulation of electric machines. This paper studies the stability of discretization schemes based on harmonic coupling in the framework of mortar methods for Poisson-like problems. A general criterion is derived that allows to ensure the relevant inf-sup stability condition for a variety of specific discretization approaches, including finite-element methods and isogeometric analysis with harmonic mortar coupling. The validity and sharpness of the theoretical results is demonstrated by numerical tests.