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Development of Equivalent 2-D Finite-Element Models for Accurate Prediction of Thrust Force in Permanent Magnet Lead Screws

机译:精确预测永磁丝杠推力的等效二维有限元模型的开发

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摘要

This paper deals with equivalent 2-D finite-element (FE) models of permanent magnet lead screw (PMLS), to accurately predict the thrust force. Due to the helical-shape permanent magnets (PMs), the magnetic fields of PMLS are typically 3-D and non-symmetric. However, the PMLS is approximately symmetric in some cases and an equivalent 2-D axis-symmetric FE model is developed instead of 3-D models. The problem lies in that no evaluation about the accuracy and applicability of the 2-D axis-symmetric FE model was offered in previous literature. In this paper, the 2-D axis-symmetric FE model is derived based on the concept of equivalent current sheets of PMs. The limitations of the existing 2-D axis-symmetric FE model are clarified, and a novel equivalent 2-D torque FE model is then proposed to predict thrust force with the gear ratio when the 2-D axis-symmetric FE model is not appropriate. It is shown that the choice of equivalent 2-D FE model depends on the lead angle of PMLS, 2-D axis-symmetric FE model is applicable in the range of (0°, 15°), and 2-D torque FE model is preferred in the range of (65°, 90°).
机译:本文研究了永磁导螺杆(PMLS)的等效二维有限元(FE)模型,以准确预测推力。由于螺旋形状的永磁体(PM),PMLS的磁场通常为3-D且非对称。但是,在某些情况下,PMLS近似对称,因此开发了等效的2-D轴对称FE模型而不是3-D模型。问题在于,在先前的文献中没有提供关于二维轴对称有限元模型的准确性和适用性的评估。在本文中,基于永磁体等效电流表的概念推导了二维轴对称有限元模型。阐明了现有二维轴对称有限元模型的局限性,然后提出了一种新型等效二维转矩有限元模型,当二维轴对称有限元模型不适用时,以齿轮比预测推力。 。结果表明,等效二维有限元模型的选择取决于PMLS的超前角,二维轴对称有限元模型适用于(0°,15°)范围,二维转矩有限元模型优选在(65°,90°)范围内。

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