馬達定子結構之有限元素模型修改及模態分析

本文針對大型分節積壓鐵蕊片之臥式馬達，以快速傅利葉轉換（FFT）分析、模態分析實驗方法，並運用電腦輔助分析（CAE）技術，以有限元素法（FEM），在不同的數學模型及邊界條件假設之下，探討定子及框架的自然頻率與模態振形之情形，並將實驗與分析進行比對，找出合適的定子結構數學模型，進而建立分析馬達的共振頻率與共振模態方法。模態分析實驗是使用加速規、衝擊錘等量測儀器及訊號處理器―頻譜分析儀，對框架及定子上規劃的26個測試點，量測激發響應所得之頻率響應函數（FRF），並與各測試點之相對座標，輸入模態分析軟體STAR內作處理，求得馬達之共振頻率與共振模態。因為定子的製造方式，馬達經組裝後，定子鐵心片與間隔片之間以非連續性的方式組合，而不是單純的連續性結構，因此，定子結構在裝入框架後，要精確計算馬達的自然頻率是相當困難的，藉由馬達定子的結構特徵，本文提出七種定子建模方式，並將分析結果的共振頻率及模態形狀與實驗結果深入比較，以探討分析模型的可接受性。

關鍵字

有限元素法；定子；馬達；彈簧；模態測試；動態分析

並列摘要

The investigated models of stator structures are large-sized motors, which stator cores are short and laminated, and types area horizontal in this thesis. This thesis presents an study of variations on natural frequencies and mode shapes of frame-with-stator in different stator models by FFT measured way、modal analysis、numerical simulation and finite element method (FEM). Compare the analytic and experimental result to find out the correct stator structure model、natural frequencies and mode shapes of the motor. We use the accelerometer, FFT analyzer and impulse hammer to measure the modal test of frequency response function from excitation response with FFT analyzer on the 26 measurement points of the frame and stator. By the FFT method, we know the natural frequencies and mode shapes of the motors. For the manufacture of the stator, the stator cores and spacers do not combine continually. It is very difficult to deal with natural frequencies of the motor when the stators are assembled. In this investigation we bring up seven different model types of the stator. Compare with the natural frequencies and mode shapes of the analysis and experiment result to discuss the possibility of the analysis models.

並列關鍵字

Motor ； Finite element method ； Stator ； Dynamic analysis ； Experimental modeling ； Spring

參考文獻

[1] K. H. Huebner, “The Finite Element Method for Engineers,” Wiley, New York, 1975.

[2] K. J. Bathe, 1982, "Finite element Procedures in Engineering Analysis, " Prentice-Hall.

[3] Daryl L. Logan, 1997, "A first course in the finite element method using algor, " PWS publishing Company.

[4] Reddy, J. N., An Introduction to the Finite Element Method, Second Edition, McGraw-Hill, 1993.

[5] Saeed Moaveni, 1999, "Finite element analysis. Theory and application with ANSYS, " Upper Saddle River.

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馬達定子結構之有限元素模型修改及模態分析

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