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An Optimal Equivalent Finite Element Modeling for a Hollow Shaft with Hot-fitted Motor Rotor

具熱配馬達轉子之空心轉軸的有限元素最佳化等效建模

摘要


馬達內藏式高速主軸的發展對國內精密製造工業而言是一項重要的關鍵技術。而馬達內藏式高速主軸的設計重點之一是將馬達轉子利用干涉配合(熱配)的方式直接與轉軸結合,成為一新的轉子-空心轉軸組件。因此,本研究乃針對一具熱配馬達轉子之空心轉軸加以分析探討。研究中主要包含二個階段,首先是對單純空心轉軸進行模態測試,所得之模態參數則做為此一空心轉軸之有限元素建模之確認依據;其次再針對轉子-空心轉軸組件進行模態測試,此一模態測試結果則用來做為該組件之有限元素分析之最佳化目標。為了要模擬馬達轉子熱配位置處之轉軸局部剛性提升現象,本文提出以最佳化等效楊氏係數的方法加以分析探討。由模態測試與有限元素數值分析比對結果顯示,此法對於處理具熱配馬達轉子之空心轉軸的有限元素動態分析是合理可行且精確有效的。

關鍵字

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並列摘要


Developing a motor built-in high speed spindle is an important key technology for domestic precision manufacturing industry. One of the major concerns in the process of designing a motor built-in high speed spindle is to mount the motor rotor on the shaft by hot-fitted to form a new rotor-shaft assembly. In this study, a hollow shaft with a hot-fitted motor rotor is considered. The study involves two stages. First, the modal testing is carried out on a bare hollow shaft. The modal parameters are used as a reference to ensure the adequacy of the subsequent finite element model of the hollow shaft. Secondly, the modal testing is conducted on the rotor-hollow shaft assembly. The modal testing results are then used as the optimization object for the subsequent finite element analyses. In order to model the increase of local stiffness of hollow shaft at the location of motor rotor, the optimal equivalent Young's Modulus is proposed in this paper. Based on the results of modal testing and numerical analyses, it may conclude that the proposed finite element modeling procedure for dealing with the dynamic analysis of hollow shaft with hot-fitted motor rotor is feasible and effective.

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