[Dissertation] On the longitudinal vibration of a moving elevator cable-car system

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Yi Chen, Master of Science, 2008......Page 4 Acknowledgements......Page 9 Table of Contents......Page 10 List of Tables......Page 12 List of Figures......Page 13 1.1 Brief Review on Vibration of Translating Media......Page 14 1.2 Historical Review on the Vibration of Elevator System......Page 16 1.2.1 Transverse Vibration......Page 17 1.2.2 Longitudinal Vibration......Page 19 1.3 Objective and Scope......Page 20 2.1.1 Modeling Approaches......Page 22 2.1.2 Simplification of a Prototype Elevator System......Page 23 2.2.1 Original System and Reference System......Page 26 2.2.2 Newton’s Law......Page 27 2.3 Hamilton’s Principle......Page 31 Chapter 3: Spatial Discretization......Page 36 3.1 Trial Functions......Page 37 3.2 Assumed Modes Method (Method 1)......Page 40 3.3 Modified Novel Discretization Scheme......Page 46 3.3.1 Method 2......Page 51 3.3.2 Method 3......Page 56 4.1 Control Volume Viewpoint......Page 57 4.2 System Viewpoint......Page 62 4.3 Energy Flux......Page 65 4.4 Energy Discretization for Method 1......Page 67 4.5 Energy Discretization for Method 2......Page 72 Chapter 5: Numerical Simulation & Conclusions......Page 77 5.1 Initial Conditions (from Static Equilibrium)......Page 78 5.2 Equilibrium......Page 79 5.3 Example and Discussion......Page 82 5.3.1 Method 1 vs. Method 2......Page 86 5.3.2 Method 2 vs. Method 3......Page 93 5.3.3 Dynamic Responses Based on the Equilibrium Position (Method 2)......Page 99 Chapter 6: Conclusions and Future Work......Page 101 Appendix A: Spatial discretization results for assumed modes method by using Lagrange’s Equation......Page 103 Appendix B: spatial discretization results for method 3......Page 107 Bibliography......Page 114 BLANK PAGE.pdf......Page 0 Blank Page tiff......Page 8