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研究生:朱家均
研究生(外文):Chia-Chun Chu
論文名稱:馬達轉子軸承系統之有限元素模型修改及模態分析
論文名稱(外文):The Modification of Finite Element Model and Modal Analysis for Motor Rotor-Bearing System
指導教授:康淵康淵引用關係
指導教授(外文):Yuan Kang
學位類別:碩士
校院名稱:中原大學
系所名稱:機械工程研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:83
中文關鍵詞:轉子軸承系統馬達
外文關鍵詞:Rotor-Bearing SystemMotor
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中文摘要
本文探討馬達轉子-軸承-框架系統之結構動態特性,提供動態特性之關係設計過程中,其轉子-軸承系統的動態設計考量方法,利用電腦輔助工程技術,以有限元素方法,先將馬達轉子-軸承-框架系統分離各個部位成為子結構,將子結構個別的數學模型加以離散化,最後以各子結構結合面上節點的動態參數一致性及力系平衡,連結離散化子結構成為整體結構的運動方程式。
在建模型、網格分割及數值求解上,本文使用商用軟體ANSYS,根據分析結果,得到自然頻率與軸承剛度及轉速之關係與模態振形,以及馬達框架之等效剛度等,以此針對馬達轉子-軸承-框架系統之設計提供改善的可行性。
對其馬達轉子進行模態測試實驗,探討分析結果的準確性,並將分析的結果與實驗得到的結果作比對,並根據轉子-軸承系統的物理意義,進行有限元素模型修改,使分析值接近實驗值,以獲得正確的建模方式,提高分析的精準度,以提供給設計者可靠的依據。
關鍵詞:轉子-軸承系統、馬達、有限元素法、模態測試、模態分析、等效剛度。


ABSTRACT
In this thesis, during design processes of finite element model for motor rotor-bearing system, the different design for finite element model of the rotor is described. Researching the rotor-bearing system on the different finite element model, and studying the effects of analysis results of motor rotor-bearing system.
The use of CAE on the analysis of motor rotor-bearing system, During the numeric model processes, the finite element method is used to build the discrete model and analytical theory of the rotor-bearing system. The entire system is divided into several dividable substructures, each of which develops individual systematic mathematic model. Finally, the motion equation of whole structures is combined by the integrity of the dynamic variables and force balances on connections of each substructure.
On numeric solutions, the analysis and calculations are done by the dynamic and static methods from a model built by the commercial finite element software “ANSYS.” In terms of analytical results, such as the relationship and vibration model of natural frequency and the rigidity of the bearing, the feasibility of the design of the above motor rotor-bearing system is recommended.
In order to verify the accuracy of finite element modeling built by ANSYS for the motor rotor-bearing system in this article, during the analyzing, proceeding mode test experiment of motor rotor, and compare the results of both analysis and experiment. The experimental values are the foundation to consider the physical meanings and to suitably modify the modeling in order to decrease the differences between both results, to obtain the correct modeling type, to increase the analysis accuracy, and to provide designers a reliable basis.
Keywords:Rotor-bearing system, Motor, Finite element method, Modal testing, Modal analysis, Equivalent stiffness.


目錄
中文摘要……………………………………………………………..Ⅰ
英文摘要……………………………………………………………..Ⅱ
誌謝…………………………………………………………………..Ⅲ
目錄…………………………………………………………………..Ⅳ
表目錄………………………………………………………………..Ⅵ
圖目錄………………………………………………………………..Ⅶ
第一章 導論…………………………………………………………1
1.1前言…………………………………………………….…..1
1.2文獻回顧……...…………………………………………….3
1.3論文內容簡介….…………………………………………..7
第二章 研究方法……………………………………………………8
2.1以有限元素法建立數學模型………………………………8
2.2有限元素分析…….………………………………………..13
2.2.1靜態分析……………………………………….………14
2.2.2模態分析……………………………………….………15
2.2.3求解……………………….………………….………...15
2.3模態測試實驗………………………………………………16
第三章 馬達轉子軸承系統之模態分析及測試……………………21
3.1自由邊界模態測試實驗……..……………………………..21
3.2自由邊界之轉子模態分析……………………..…………..27
3.2.1三種不同之轉子建模方式…………………………….27
3.2.2分析結果……………………………………………….32
3.3不同軸承剛度及不同轉速下之模態分析…………….…...36
3.3.1 邊界條件………………………………………………36
3.3.2分析結果……….………………………………………37
第四章 馬達框架剛度鑑別…………………………………………46
4.1原理…………………………………………………………46
4.2動剛度………………………………………………………47
4.3等效剛度係數………………………………………………49
4.3.1串聯彈簧之轉子1 DOF系統…………………………49
4.3.2轉子-軸承-框架之2 DOF系統……………………….50
4.3.3等效剛度係數之說明………………………………….52
4.4穩態反應及模態分析………………………………………53
4.4.1建模…………………………………………………….53
4.4.2馬達轉子-軸承-框架系統之動剛度分析……………..58
4.4.3馬達轉子-軸承-框架系統之等效剛度分析.…………..60
4.4.4馬達轉子-軸承-剛性環-框架系統之等效剛度分析….60
第五章結論…………………………………………………………..65
參考文獻……………………………………………………………..67
附錄一………………………………………………………………..72
附錄二………………………………………………………………..73


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N., “Dynamic analysis and design of a machine tool spindle-bearing system”, Int. J. Vib. Aeoust., 116, pp. 280-285, 1994.26.Choi, J. K. and Lee, D. G., “Characteristics of a spindle bearing system with a gear located on the bearing span”, Int. J. Mach. Tools Manufact., 37, pp. 171-181, 1997.27.Lin, Y. Cheng, L. and Huang, T. P., “Optimal design of complex flexible rotor-support systems using minimum strain energy under multi-constraint conditions,” Journal of Sound and Vibration, 215(5), pp. 1121-1134, 1998.28.Aini, R., Rahnejat, H. and GOHAR, R., “A five degrees of freedom analysis of vibrations in precision spindles”, Int. J. Mach. Tools Manufact., 30, pp. 1-18, 1990.29.Al-Shareef, K. J. H. and Brandon, J. A., “On the effects of variations in the design parameters on the dynamic performance of machine tool spindle-bearing systems”, Int. J. Mach. Tools Manufact., 30, pp. 431-445, 1990.30.Brandon, J. A. and Al-Shareef, K. J. 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