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研究生:黃國軒
研究生(外文):Guo-Shiuan Huang
論文名稱:旋轉軸於斜向移動負載下之動態分析
論文名稱(外文):Dynamic analysis of a rotating shaft under a moving skew load
指導教授:蕭庭郎
指導教授(外文):Ting-Nung Shiau
學位類別:碩士
校院名稱:國立中正大學
系所名稱:機械系
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:2000
畢業學年度:88
語文別:英文
論文頁數:84
中文關鍵詞:轉子動力移動斜向負載模態假設法穩定度
外文關鍵詞:rotor dynamicmoving skew loadassumed mode methodstability
相關次數:
  • 被引用被引用:8
  • 點閱點閱:189
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:2
摘要
旋轉軸受移動斜向負載系統之動態分析可以廣泛地應用於模擬許多工程系統,例如高速移動的工具機XY平台之滾珠導螺桿及工件切削加工系統。由於目前工具機之研究發展已邁向高速進給、高精度的趨勢,欲達到此目標,不僅須分析主軸於高轉速下之振動特性,而進給系統在高速移動下的定位精度,亦是影響到加工之精度。對於使用滾珠導螺桿之進給系統,當平台高速移動時,滾珠導螺桿受到平台所施的斜向力而產生的振動遠比傳統工具機為高,故必須分析滾珠導螺桿在高速轉動下受斜向力作用之動態特性。
本研究主要探討旋轉軸於移動斜向負載下的動態特性。首先使用模態假設法來建立進給系統運動模式,其中將滾珠導螺桿模擬成一簡支撐之旋轉軸,其所受到移動斜向負載可分為軸向推力及側向力,再以拉格朗至法推導出系統運動方程式,有關系統在斜向移動負載下的動態響應以Runge-Kutta直接積分法來求得之,模態振型及自然頻率的變化分別由系統的特徵值及特徵向量求得,並以傅羅凱理論(Floquet Method)分析系統的穩定性。
ABSTRACT
The modern design of high quality machine tool requires high performance of high speed spindle and high rate of feed drive system. It is known that the feed drive system driven by ball screw usually will induce large vibration at high feed rate. To attenuate the vibration level, the dynamic behaviors of ball screw under a moving skew load at high spin speed should be analyzed.
In this study, the system of ball screw under a moving skew load is analyzed using assumed mode method. The ball screw is modeled as a rotating shaft with simply supported. The moving skew load consists of axial driving force and lateral pay load. The system equation of motion is derived using Lagragian approach. The system dynamic characteristics including natural frequencies and corresponding mode shapes are obtained by solving eigenvalue problem of system. The transient response is also analyzed using Runge-Kutta method. Furthermore, the Floquet theorem is employed to determine the system stability.
CONTENTS
ABSTRACT i
CONTENTS ii
LIST OF TABLES iii
LIST OF FIGURES v
NOMENCLATURES x
CHAPTERS PAGE
1INTRODUCTION
1-1 Motivation of Research 1
1-2 Literature Review 2
1-3 Outline 4
2 EQUATION FORMULATION OF MOTION
2-1 Basic Assumptions 5
2-2 Lagrangian Approach 8
3 DYNAMIC ANALYSIS
3-1 Transient Response 14
3-2 Natural Frequency Analysis 16
3-3 Stability Analysis 17
3-4 Approximate Method for Calculating the FTM 20
4 NUMERICAL RESULTS AND DISCUSSION
4-1 Numerical Results for Transient Response 23
4-2 Numerical Results for Mode Shapes 46
4-3 Numerical Results for Natural Frequencies 54
4-4 Numerical Results for Stability Analysis 71
5 CONCLUSIONS AND FUTURE STUDY 79
REFERENCE 82
REFERENCE
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13. A. Argento, 1995, “A Spinning Beam Subjected to a Moving Deflection Dependent Load, Part I: Response and Resonance”, Journal of Sound and Vibration, Vol.182, pp.595-615.
14. A. Argento and H.L. Morano, 1995, “A Spinning Beam Subjected to a Moving Deflection Dependent Load, Part II: Parametric Resonance”, Journal of Sound and Vibration, Vol.182, pp.617-622.
15. Y.M. Huang and K.K. Chang, “Stability Analysis of a Rotating Beam Under a Moving Motion-Dependent Force”, Journal of Sound and Vibration, Vol.202, pp.427-437.
16. S.S. Rao, 1995, “Mechanical Vibration”, Addison-Wesley, New York.
17. 鄭琦聰,1996,”高速主軸於軸向負載下之動態分析”, 國立中正大學機械工程研究所碩士論文.
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