以離散元素法與有限元素法雙向耦合技術分析深溝滾珠軸承轉子系統的動態行為

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Title:	以離散元素法與有限元素法雙向耦合技術分析深溝滾珠軸承轉子系統的動態行為
Authors:	張竣凱;Zhang, Jun-Kai
Contributors:	機械工程學系
Keywords:	雙向耦合離散元素法與有限元素法;含深溝滾珠軸承的偏心轉子系統;軸承應力;轉子質量中心位移
Date:	2025-08-28
Issue Date:	2025-10-17 13:19:05 (UTC+8)
Publisher:	國立中央大學
Abstract:	本研究採用雙向耦合離散元素法(Discrete Element Method, DEM)與有限元素法(Finite Element Method, FEM)模擬技術，建立深溝滾珠軸承轉子系統的模型，探討有無偏心質量、轉子轉速與轉子偏心質量對於深溝滾珠軸承轉子系統動態反應的影響，動態反應包含轉子質量中心位移與軸承應力。本研究設計「正向碰撞試驗」與「斜向碰撞試驗」兩項基準測試，以驗證本研究建立耦合模型的正確性。研究結果顯示：(1) 相較於平衡轉子，具偏心質量轉子呈現較大的軸承應力與振動幅度; (2)無論是否有無偏心質量，轉速越高，轉子的質量中心位移與軸承應力也隨之增加; (3)隨著偏心質量增加，轉子的質量中心位移與軸承應力也隨之增加; (4)深溝滾珠軸承承受負載時，最大von Mises stress值皆發生在軸承內環; (5)DEM-FEM雙向耦合模型可作為深溝滾珠軸承轉子動態分析的有利數值方法。;This study employs a bidirectionally coupled Discrete Element Method (DEM) and Finite Element Method (FEM) simulation technique to establish a model of a deep groove ball bearing-rotor system. It investigates the effects of eccentric mass presence, rotor speed, and rotor eccentric mass on the dynamic response of the deep groove ball bearing-rotor system, where the dynamic response includes rotor mass center displacements and bearing stresses. Two benchmark tests, namely the “normal impact test” and the “oblique impact test,” are designed to verify the accuracy of the coupled model developed in this study. Major findings are summarized below: (1) Compared with a balanced rotor, a rotor with eccentric mass exhibits greater bearing stresses and vibration amplitudes; (2) Regardless of the presence of eccentric mass, the rotor’s mass center displacements and bearing stresses increase with higher rotational speeds; (3) As the eccentric mass increases, the rotor’s mass center displacements and bearing stresses also increase; (4) When the deep groove ball bearing is under load, the maximum von Mises stress occurs at the inner ring of the bearing; (5) The DEM-FEM bidirectional coupled model can serve as an effective numerical method for dynamic analysis of deep groove ball bearing-rotor systems.
Appears in Collections:	[Graduate Institute of Mechanical Engineering] Electronic Thesis & Dissertation

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