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  • 學位論文

工業用轉子-軸承系統之模態分析

Modal Analyses of Rotor-Bearing System for Industrial Applications

指導教授 : 康淵
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摘要


中文摘要 本文將電腦輔助工程技術應用在工業用主軸的分析上。以有限元素法建立分析模型,將轉子-軸承系統分成若干個子結構系統,並離散子結構,最後考慮各子結構共用節點的參數一致性與力平衡,得到整體系統的運動方程式。 利用ANSYS分析軟體的求解法,對系統進行有限元素模型之模態求解。由分析結果得到系統模態頻率與軸承剛度及轉速之間的關係,依據所得結果,設計系統的安全範圍。 因為轉子套軸時,由鬆至緊配的轉子增加軸之抗彎剛性有不同的效應,或兩者結合面彼此具不同接觸剛度,而有虛擬軸徑效應與結合剛度比較效應的存在,因此本文探討虛擬軸徑與轉子結合剛度兩種廣義幾何參數,對轉子-軸承系統模態特性的影響。以有限元素方法,利用ANSYS軟體建模求解,以馬達之轉子-軸承系統為例,在此利用已知模態測試實驗值,與分析結果逐一進行比較,選出適當的建模方式,以獲得較正確分析模型,進而提高分析結果的精確性,為設計人員提供更可靠之數據。

並列摘要


ABSTRACT In this article, applications of CAE are used on analyses of the industrial shafts. The finite element method is the basis during the processes of building model, rotor-bearing system is divided into several substructures, and discrete each of substructures. Finally, the motion equation of the whole structures is combined by the nodal variables and force balances on connection of each substructure. The analyses are done by the finite element model built of shafts by software ”ANSYS”. According to analytical results, the relationships between the mode frequencies of systems, rigidity of the bearing, and working velocity can be shown to design a safe range of system. It’s increasing the strength that is against bending of the shaft because of the rotor cover the shaft, or each of them has different contacting stiffness, and it brings the virtual diameter and the joint stiffness. In this article, let’s explore involves of rotor-bearing system by two generally geometric parameter that are the virtual diameter and the joint stiffness. Based on the finite element method, using ANSYS to build models and solve. Rotor-bearing system of Motor for example, using known experimental values to compare with analytic results, to choose the suitable way of building model by experimental values, to get the more correct model, to raise the accuracy of the analyses, and to provide designers a reliable data.

參考文獻


1. Bathe, K. J., ”Finite element Procedures in Engineering Analysis,” Prentice-Hall, 1982.
2. William, B., “A first course in finite element method,” Burr Ridge,Ill.,Irwin,1994.
3. Moaveni, S., “Finite element analysis. Theory and application with ANSYS,” Upper Saddle River, 1999.
5. Dawe, D. J., “Matrix and finite element displacement analysis of structures,” Clarendon Press, 1984.
6. Ruhl, R. L. and Booker, J. F., “A finite element models for distributed parameter turborotor systems”, ASME J. Engineering for Industry, Feb., pp. 126-132, 1972.

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