Fu, Kin Chung Denny. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 119-123). / Abstracts in English and Chinese. / Abstract --- p.i / 摘要 --- p.iii / Acknowledgements --- p.iv / Table of Contents --- p.v / List of Figures --- p.viii / List of Tables --- p.xi / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Objective --- p.1 / Chapter 1.2 --- Fundamental knowledge of multibody dynamics --- p.2 / Chapter 1.3 --- Escapement mechanisms --- p.5 / Chapter 1.3.1 --- Time keeping accuracy and stability factors --- p.7 / Chapter 1.3.2 --- Estimations of moment of inertia --- p.9 / Chapter 1.3.3 --- Other simulations and analyses --- p.15 / Chapter 1.4 --- Thesis outlines --- p.15 / Chapter 1.5 --- Chapter summary --- p.17 / Chapter Chapter 2 --- Multibody Dynamics --- p.18 / Chapter 2.1 --- The unilateral corner law of impact --- p.18 / Chapter 2.2 --- The Coulomb's friction --- p.19 / Chapter 2.3 --- "Slip, stick, and slip reversal phenomena" --- p.20 / Chapter 2.4 --- The coefficients of restitution --- p.20 / Chapter 2.5 --- Ways of formulating multiple contacts --- p.22 / Chapter 2.6 --- Integration procedure --- p.22 / Chapter 2.7 --- The P. Pfeiffer and Ch. Glocker's approach --- p.23 / Chapter 2.7.1 --- Kinematics calculation --- p.23 / Chapter 2.7.2 --- Configuration index --- p.26 / Chapter 2.7.3 --- Motion without contact --- p.27 / Chapter 2.7.4 --- Motion for detachment and slip-stick transition and LCP formulation --- p.27 / Chapter 2.7.5 --- Motion for impact and LCP formulation --- p.37 / Chapter 2.8 --- Solving LCP --- p.50 / Chapter 2.9 --- Chapter summary --- p.52 / Chapter Chapter 3 --- Development of the Simulation Tool --- p.54 / Chapter 3.1 --- Kinematics calculation --- p.54 / Chapter 3.1.1 --- Geometric definitions --- p.55 / Chapter 3.1.2 --- Line-to-line contact --- p.59 / Chapter 3.1.3 --- Arc-to-line contact --- p.62 / Chapter 3.1.4 --- Kinematics calculation procedures --- p.67 / Chapter 3.2 --- Obtaining the solutions --- p.72 / Chapter 3.3 --- Revised numerical treatment for LCP solving --- p.73 / Chapter 3.4 --- Integration procedure of simulation --- p.74 / Chapter 3.5 --- Verification example --- p.76 / Chapter 3.5.1 --- Classical mechanics approach --- p.76 / Chapter 3.5.2 --- Pre-calculation before application --- p.79 / Chapter 3.5.3 --- Simulation results --- p.81 / Chapter 3.6 --- Chapter summary --- p.83 / Chapter Chapter 4 --- Application to Swiss Lever Escapement --- p.84 / Chapter 4.1 --- Working principle of Swiss lever escapement --- p.84 / Chapter 4.2 --- Simulation of Swiss lever escapement --- p.87 / Chapter 4.2.1 --- Pre-calculation of kinematics --- p.88 / Chapter 4.2.2 --- Simulation results --- p.89 / Chapter 4.3 --- More simulations --- p.102 / Chapter 4.3.1 --- Theoretical optimal peak amplitudes --- p.102 / Chapter 4.3.2 --- Simulation of coaxial escapement --- p.103 / Chapter 4.3.3 --- Simulations with different simulation parameters --- p.109 / Chapter 4.3.4 --- Relation of input complexity and computational time --- p.111 / Chapter 4.4 --- Chapter summary --- p.113 / Chapter Chapter 5 --- Conclusions and Future works --- p.114 / Chapter 5.1 --- Conclusions --- p.114 / Chapter 5.2 --- Future works --- p.117 / Bibliography --- p.119
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326325 |
| Date | January 2008 |
| Contributors | Fu, Kin Chung Denny., Chinese University of Hong Kong Graduate School. Division of Mechanical and Automation Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xi, 123 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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