應用離散元素法與多體動力學於齒輪傳動系統動力分析模型之建立

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姓名

費一航(Yi-Hang Fei) 查詢紙本館藏

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機械工程學系在職專班

論文名稱

應用離散元素法與多體動力學於齒輪傳動系統動力分析模型之建立
(Dynamics Modeling of Gear Transmission System Based on Discrete Element Method and Multi-body Dynamics)

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摘要(中)

齒輪傳動系統正朝著高速、重負載和高精度方向發展，對其動態性能要求越來越高，而在傳動過程中本身的時變接觸剛度、加工誤差與轉軸變形等也會對系統動態特性產生影響，結構的振動、噪音和運轉穩定性越來越受到業界關注。顆粒阻尼技術(Particle Damping Technology, PDT)是一種被動減振方法，透過顆粒間、顆粒與結構體腔壁間的非彈性碰撞和摩擦作用耗能。本文透過多體系統動力學(Multi-body Dynamics, MBD)與離散元素法(Discrete Element Method, DEM)雙向耦合分析方法，考慮齒輪嚙合時之接觸剛度，以有限軸段理論(Finite Segment Method)研究傳動軸彈性變形與阻尼顆粒對於齒輪系統動態響應的影響，研究結果不僅證實有限軸段理論對於模擬轉軸之彈性變形可行且有效，亦證實阻尼顆粒能有效抑制齒輪傳動時之振動。

摘要(英)

Gear transmission system is developing towards high speed, heavy load and high precision, the requirement of its dynamic performance is increasingly higher. In the transmission process, the time-varying contact stiffness between gears, machining errors of mechanical parts, and deformation will affect the dynamic characteristics of the system, including vibration, noise and operational stability, which are concerned by the industry. Particle damping technology (PDT) is a passive vibration-damping method used to dissipate the vibration energy by collision and friction among particles and particles to walls of a structure. In this study, a two-way coupled analysis model of multi-body dynamics (MBD) and discrete element method (DEM) has established to investigate the dynamic responses of a gear transmission system considering elastic deformation of the shafts and damping particles with the time-varying contact stiffness and the Huston finite segment method. The results have verified that the finite segment method is feasible and effective for simulating the shaft deformation and prove that the damping particles can effectively suppress the system vibration during the operation process.

關鍵字(中)

★ 齒輪傳動系統
★ 多體動力學
★ 離散元素法
★ 有限軸段理論
★ 時變接觸剛度
★ 阻尼顆粒
★ 振動
★ 動態響應

關鍵字(英)

★ Gear transmission system
★ multi-body dynamics
★ discrete element method
★ finite segment method
★ time-varying contact stiffness
★ damping particles
★ vibration
★ dynamic response

論文目次

摘要 I
ABSTARACT II
謝誌 IV
目錄 V
圖目錄 VII
表目錄 VIII
符號對照表 IX
第1章緒論 1
1-1 研究背景 1
1-2 文獻回顧 2
1-3 研究動機與目的 5
1-4 論文架構 6
第2章齒輪傳動系統負載分析模型建立 8
2-1 齒輪傳動系統基本構造與作動原理 8
2-2 KISSsoft分析軟體簡介 8
2-3 三級齒輪傳動系統分析模型建立流程 10
2-4 理論模型與KISSsoft分析模型數值驗證與分析 13
2-4-1 齒輪負載與強度安全係數之計算 13
2-4-2 齒輪轉軸變形量之計算 15
2-4-3 軸承負載與基本額定壽命之分析 16
2-4-4 齒輪齒面接觸分析 16
第3章多體動力學與離散元素法雙向耦合模型建立 17
3-1 模型定義與簡化 17
3-2 具阻尼顆粒齒輪傳動系統之動力學模型推導 19
3-3 有限軸段理論 28
3-4 齒輪接觸力計算 30
3-5 顆粒接觸力與摩擦力計算 32
3-6 多體動力學與離散元素法之參數介紹 34
3-7 多體動力學與離散元素法雙向耦合模型求解流程 36
3-8 時間步長計算 38
第4章動力學模型之結果分析與探討 39
4-1 探討軸變形效應與阻尼顆粒對齒輪接觸力之影響 40
4-2 探討軸變形效應與阻尼顆粒對齒輪加速度之影響 44
4-3 探討軸變形效應與阻尼顆粒對齒輪傳動誤差之影響 49
4-4 探討軸變形效應與阻尼顆粒對軸心位移之影響 52
第5章總結與未來展望 54
5-1 總結 54
5-2 未來展望 56
參考文獻 57
附錄A 齒輪負載受力分析 59
附錄B 轉軸與軸承負載受力分析 65
附錄C 齒面接觸載荷分析 69
作者介紹 71

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指導教授

吳育仁(Yu-Ren Wu)

審核日期

2021-1-26

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