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Cover 1 Introduction I I Porous Journal Bearings 12 Discussions of the Used Models 13 Outline of Thesis 2 Formation of the Problem 21 Porous Journal Bearing Geometry 22 Modified Reynolds Equation 23 Film Forces 24 Equations of Motion, of the Journal 3 Static Characteristics 3 I Bearing Characteristics 32 Short Bearing Approximation 321 Short Bearing Characteristics 322 Film pressure and Load Capacity 323 Attitude Angle and Friction Parameter 33 Long Bearing Approximation 331 Long Bearing Characteristics 332 Compared to That of a Long Solid Bearing 333 Load Number, Attitude Angle and Friction Parameter 34 Finite Porous Journal Bearing 341 Preconditioned Conjugate Gradient Method 342 Numerical Formulation 343 Finite Bearing Characteristics 344 Effect of a 345 Compared to That of a Finite Solid Bearing 346 Film pressure and Load Capacity 347 Attitude Angle and Friction Parameter 348 Compared to the Previous Work about Slip Effect 35 Conclusion of the Static Characteristics 4 Linear Stability Analysis 41 Dynamic Coefficients and Stability Criterion 42 Short Bearing Approximation 421 Effect of a and Compared to That of a Short Solid Bearing 422 Stiffness Coefficients 423 Damping Coefficients 424 Stability Threshold Speed 43 Long Bearing Approximation 431 Compared to That of a Long Solid Bearing 432 Stiffness Coefficients 433 Damping Coefficients 434 Stability Threshold Speed 44 Finite Porous Journal Bearings 441 Compared to That of a Finite Solid Bearing 442 Stiffness Coefficients 443 Damping Coefficients 444 Stability Threshold Speed 45 Conclusion of the Dynamic Characteristics 5 Weakly Nonlinear Stability Analysis 5 I Hopf Bifurcations 52 Meaning of Sub- and Super-critical Bifurcations 53 Introducing the System Parameter 54 Application of Hopf Bifurcation 55 Compared to That of a Short Solid Bearing 56 Weak-Nonlinear Stability Regions of Short Bearings 57 Hopf Bifurcation of Short Bearings 58 Conclusion of Bifurcation Phenomena for Short Bearings 6 Strongly Nonlinear Stability Analysis 61 Transient Response of the Journal for Short Porous Bearings 62 Nonlinear Stability Boundary of Short Porous Bearings 63 Conclusion of Strongly Nonlinear stability for Short Bearings 7 Concluding Remarks 71 Review of Results 72 Conclusion 73 Suggestions on Future Research Appendix A Deriving the Modified Reynolds Equation AI Expressions of u, u, w and w A 2 Expressions of A\, D{, A@ and D@ A 3 Expressions of A and B Appendix B Characteristics of Porous Bearings by Using the SFM and DM B I Short Bearing Approximation B 2 Long Bearing Approximation B 3 Finite Porous Bearings Appendix C Effect of Linear Pressure Gradient Assumption C I Deriving the Modified Reynolds Equation C 2 Bearing Characteristics C 3 Effect of LPGA C 4 Conclusion about the Effect of LPGA References List of Publications Others
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