應用多體動力學及離散元素法於具阻尼顆粒齒輪及軸承系統抑振之研究

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姓名

藍仕成(Shih-Cheng Lan) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

應用多體動力學及離散元素法於具阻尼顆粒齒輪及軸承系統抑振之研究
(A Study of Vibration Suppression in a Gear-bearing System with Damping Particles Based on Multi-body Dynamics and Discrete Element Method)

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摘要(中)

建立齒輪系統之多體動力學(Multi-body Dynamics, MBD)模型以研究系統之動載及振動特性一直是工程領域研究的重要議題，近年來，離散元素法(Discrete Element Method, DEM)被廣泛地應用於傳統連體力學無法解決之問題，而利用顆粒間碰撞能量損耗來降低系統之振動便是其中一個研究課題，而至今有關MBD-DEM耦合分析之相關研究甚少。因此，本文將研究具有阻尼顆粒齒輪對之動力特性，除了基於MBD與DEM建立理論數學模型外，更透過ADAMS及EDEM軟體建立具阻尼顆粒齒輪對之CAE雙向耦合分析模型，深入研究齒輪對與封在輪輻孔中顆粒之間的相互影響、及加入顆粒後對齒輪對之抑振效果。最後利用建立之雙向耦合模型分析有無顆粒、固定質量下顆粒半徑大小、顆粒之恢復係數、顆粒之摩擦係數等四種狀況之動態特性，並歸納與整理上述工況改變對輸出軸之移動加速度、齒間受力、振動訊號頻譜與傳動誤差等影響。

摘要(英)

To establish the multi-body dynamics (MBD) model of a gear transmission system for studying its dynamic characteristics is always an important issue in the engineering field. In recent years, the discrete element method (DEM) has been widely applied on solving problems that traditional continuum mechanics cannot solve, while the utilization of damping particles to reduce vibration in the mechanical system is one application of them. However, the related research of MBD-DEM coupling analysis is still rare so far. Therefore, this study established the dynamic characteristics of a pair of gears with damping particles. Other than establishing a theoretical mathematical model based on MBD and DEM, a two-way coupling simulation model has been established to study the interaction between the gear pair and particles which are encapsulated in the holes on the gear spokes, and the effect of vibration suppression on the gear pair with particles. At last, we have collated and summarized the effect of different operating conditions on the translation acceleration of gear-shaft mass center, meshing forces between gears and their vibration under time and frequency domain, and transmission error.

關鍵字(中)

★ 齒輪對
★ 阻尼顆粒
★ 多體動力學
★ 離散元素法
★ MBD
★ DEM
★ ADAMS
★ EDEM

關鍵字(英)

★ gear pair
★ damping particles
★ Multi-body Dynamics
★ MBD
★ Discrete Element Method
★ DEM
★ ADAMS
★ EDEM

論文目次

摘要 I
ABSTRACT II
謝誌 IV
目錄 V
圖目錄 VII
表目錄 IX
符號對照表 X
第1章緒論 1
1-1 研究背景 1
1-2 文獻回顧 4
1-3 研究動機與目的 8
1-4 研究架構 9
第2章具阻尼顆粒之齒輪系統之多體動力學與離散元素法耦合理論數學模型建立 11
2-1 齒輪系統多體動力學運動方程式 11
2-2 多體動力學模型求解方法介紹 15
2-3 離散元素法之基礎理論 17
2-4 多體動力學與離散元素法雙向耦合模型 21
第3章多體動力學與離散元素法模型分析參數介紹 23
3-1 動載分析模擬軟體ADAMS介紹 23
3-1-1 拘束對種類簡介 24
3-1-2 多體動力學模擬參數設定 26
3-1-3 求解器之選用 30
3-2 離散元素法模擬軟體EDEM參數介紹 31
3-3 雙向耦合CAE模型與參數介紹 33
第4章應用雙向耦合模型之模擬結果分析與比較 37
4-1 阻尼顆粒之半徑與顆粒等效質量齒輪分析與探討 37
4-1-1 齒輪系統間接觸力結果之比對及探討 37
4-1-2 輸出軸齒輪質心移動加速度結果之比對及探討 41
4-1-3 傳動誤差結果之比對與探討 44
4-1-4 本節結論 45
4-2 考量有無軸承設置對齒輪系統之響應 47
4-2-1 齒輪系統間接觸力結果之比對及探討 47
4-2-2 傳動誤差結果之比對與探討 49
4-2-3 本節結論 50
4-3 摩擦係數之振動響應分析與探討 51
4-3-1 齒輪系統間接觸力結果之比對及探討 51
4-3-2 輸出軸齒輪質心移動加速度結果之比對及探討 54
4-3-3 傳動誤差結果之比對與探討 56
4-3-4 本節結論 58
4-4 恢復係數之振動響應分析與探討 59
4-4-1 齒輪系統間接觸力結果之比對及探討 59
4-4-2 輸出軸齒輪質心移動加速度結果之比對及探討 62
4-4-3 傳動誤差結果之比對與探討 64
4-4-4 本節結論 65
第5章總結與未來展望 66
5-1 總結 66
5-2 未來展望 69
參考文獻 70
作者介紹 73

參考文獻

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指導教授

吳育仁(Yu-Ren Wu)

審核日期

2018-8-8

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