臺灣博碩士論文加值系統

本論文主要在研究齒輪轉子軸承系統之動態特性。在考慮側向及扭轉的
偶合效應下，使用有限元素法求得系統之自然頻率、振動模態以及穩態響
應。時域響應經由快速傅立葉轉換可得頻域響應，由此響應可撿查不同平
衡等級及不同轉速下，動態偶合項對系統方程式之效應。考慮軸向轉矩對
撓曲振動之效應下，求得短路力矩激發之側向及扭轉響應，並應用擠壓油
膜軸承壓低此響應。 再則研究擠壓油膜軸承支撐之齒輪系統的非線性動
態行為。由快速傅立葉轉換將時域響應轉換成頻譜，並建立波因卡圖。由
分歧圖可判別系統響應為次簡諧、簡諧、超簡諧、類週期及混沌等。另外
，由簡諧平衡法及配置法之混合法求出系統之穩態週期響應，再由傅羅凱
理論檢驗系統穩態響應之穩定性。

This thesis is concerned with the dynamic analysis of a
geared rotor-bearing system. A finite element model of the
geared rotor-bearing system is developed by taking account of
the lateral-torsional coupling effect to obtain the natural
frequencies, mode shapes, and the steady-state responses. From
the response time histories, the FFT spectra can be obtained to
investigate the effects of dynamic coupling terms under
different grades of balance quality and spin speeds. In
addition, the lateral response due to short circuit torque is
examined to be substantial for the turbo-generator set. The
nonlinear dynamic behavior of a geared system supported
bysqueeze-film dampers is also investigated. The FFT spectra,
Poincare maps and bifurcation maps are made to classify the
responses whichinclude sub-harmonic, superharmonic, quasi-
periodic, and chaotic responses. The hybrid technique of the
Harmonic Balance Method and Time Collocation is employed to
obtain the stability of the first variation equations with
periodic coefficients, which is generatedby the perturbation
technique.

COVER
CONTENTS
ABSTRACT
LIST OF TABLES
LIST OF FIGURES
NOMENCLATURE
1. INTRODUCTION
1.1 Motivaton and Objective
1.2 Literature Review
1.2.1 Mathematical Model of Gear Dynamics
1.2.2 Squeeze-Film Damper
1.2.3 Solution Methods for Nonlinear Vibration
1.3 Dissertation Outline
2. LINEAR ANALYSIS OF GEARED ROTOR-BEARING SYSTEM
2.1 Equation Formulation
1.2.1 Disk
1.2.2 Gear Mesh
2.1.3 Bearing Suport
2.1.4 Rotor-Shaft
2.1.5 Torsional Coupling
2.1.6 System Equations of Motion
2.2 Uncoupled Bending Vibration
2.3 Uncopuled Torsional Vibration
2.4 Coupled Modes of a Gear Box
2.5 General Modes of a Gear Box
2.6 Steady-State Response
2.6.1 Effect of Displacement Transmission Error
2.6.2 Effect of Disk Unbalance
2.7 Conclusions
3. INFLUENCE OF DYNAMIC COUPLING
3.1 System Equations of Motion
3.2 Solution Technique
3.3 Numerical Examples
3.4 Conclusions
4. LATERAL RESPONSE DUE TO TORSIONAL EXCITATION
4.1 Equation Formulation
4.1.1 iNCREMENTAL Stiffness due to Axial Torque
4.1.2 Short Circuit Torque
4.1.3 Squeeze-Film Damper Force
4.1.4 System Equations of Motion
4.2 Turbo-Alternator Example
4.2.1 Effect of Gear Mesh Stiffness
4.2.2 Effcet of Lateral Response Squeeze-Film Damper
4.2.3 Suppression of Lateral Response Squeeze-Film Damper
4.3 Conclusions
5. NONLINEAR ANALYSIS OF GEAR PAIR SYSTEM SUPPORTED BY SQUEEZE-FILM DAMPER
5.1 Governing Equation
5.2 Stability of the Steady-State Response
5.3 Gear Pair Examples
5.3.1 Classification of Steady-State Solutions
5.3.2
5.4 Conclusions
6. CONCLUSIONS
REFERENCES
APPENDIX
PUBLICATIONS&VITA