Su, Shuang. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 100-106). / Abstracts in English and Chinese. / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Background --- p.1 / Chapter 1.2 --- Objective --- p.2 / Chapter 1.3 --- Methodology --- p.3 / Chapter Chapter 2 --- Literature Survey --- p.5 / Chapter 2.1 --- The Escapement --- p.5 / Chapter 2.2 --- Signature Analysis of Mechanical Watches -- Traditional Methods and Existing Systems --- p.10 / Chapter 2.2.1 --- Estimating Rate Deviation --- p.10 / Chapter 2.2.2 --- Measuring Beat Error --- p.11 / Chapter 2.2.3 --- Error Detection with a Graphical Diagram --- p.12 / Chapter 2.2.4 --- Analyzing Watch Ticks --- p.13 / Chapter 2.3 --- Time-Frequency Distributions and Reassignment --- p.14 / Chapter 2.3.1 --- Time-Frequency Distributions --- p.14 / Chapter 2.3.2 --- Reassignment Method --- p.18 / Chapter 2.4 --- Finite Element Analysis --- p.19 / Chapter Chapter 3 --- Signature Analysis of Mechanical Watch Movement --- p.21 / Chapter 3.1 --- Time-Domain Analysis: Endpoint Detection --- p.21 / Chapter 3.2 --- Time-Domain Analysis: Error Detection with a Graphical Chart --- p.27 / Chapter 3.3 --- Analyzing Ticks: from Time-Domain Analysis to Time-Frequency Analysis --- p.31 / Chapter Chapter 4 --- Reassigned Time-Frequency Distributions --- p.34 / Chapter 4.1 --- Spectrogram --- p.34 / Chapter 4.2 --- Morlet Scalogram --- p.35 / Chapter 4.3 --- Smoothed Pseudo-Wigner-Ville Distribution --- p.36 / Chapter 4.4 --- Reassignment principle --- p.37 / Chapter 4.5 --- Reassigned Spectrogram (RSP) --- p.39 / Chapter 4.6 --- Reassigned Morlet Scalogram --- p.40 / Chapter 4.7 --- Reassigned SPWV --- p.40 / Chapter 4.8 --- Performance Evaluation of Time-frequency Distributions --- p.41 / Chapter Chapter 5 --- Modal analysis and simulation results --- p.47 / Chapter 5.1 --- FEA Eigensystems --- p.47 / Chapter 5.2 --- Modal Analysis in ANSYS --- p.48 / Chapter 5.3 --- Transient Dynamic Analysis of Watch Parts in ANSYS --- p.50 / Chapter Chapter 6 --- Fault Detection Examples --- p.60 / Chapter 6.1 --- Example I --- p.60 / Chapter 6.2 --- Example II --- p.64 / Chapter Chapter 7 --- System Development --- p.69 / Chapter Chapter 8 --- Conclusions --- p.74 / Appendix I --- p.77 / Chapter 1. --- GUI Layout of the CUHK-IPE Watch Signature Analyzer (WTimer.fig) : --- p.77 / Chapter 2. --- Main Function of CUHK-IPE Watch Signature Analyzer (WTimer.m): --- p.78 / Chapter 3. --- Other Functions Called by the Main Function: --- p.85 / Chapter 3.1 --- Function for Split Signal up into (Overlapping) Frames (enframe.m):…… --- p.86 / Chapter 3.2 --- Function for Detecting BPH of the Watch (bph´ؤdetection.m): --- p.86 / Chapter 3.3 --- Function for Calculation the Rate Deviation and Beat Error of the Watch (rate4_6.m): --- p.89 / Chapter 3.4 --- Function for Calculating the RSP of the Signal (tfrrsp.m): --- p.95 / Chapter 3.5 --- Window Generation Function (tftb_window.m): --- p.97 / References --- p.100

Among various non-smooth dynamic systems, the periodically forced oscillation system with impact is perhaps the most common in engineering applications. Usually it has an oscillator with fixed or unfixed stops. The dynamics becomes complicate due to the impact against the stops. Sometimes it leads to bifurcation and even turns to chaos. Its present applications include MEMS switch device, escapement in watch movement and so on. / As a branch of mechanics, the multi-body dynamic system is well-studied. In particular, the non-smooth dynamical system attracts many researchers because of its importance and diversity. The main behaviours of such a system include contact (slip-stick motion), friction and impact. Although various models have been developed for these behaviours and their results are often satisfactory, the truth is that they are still far from completion. In the past twenty some years, various new methods have been developed. However, none of them is universally applicable. One of the difficulties is that there are a number of explicit discontinuities, such as: (a) Coulomb friction gives a discontinuous law for the forces as a function of velocities, and (b) The contact conditions give forces that are not only discontinuous in position, but also unbounded and give rise to discontinuities in the velocities. / This thesis presents a systematic study on the periodically forced oscillation system with impact. Various existing methods are discussed and compared. In particular, impulsive differential equation, Poincare map and perturbation theory are applied. Two practical cases are included: a first-order system and the Swiss lever escapement mechanism. The latter has significant engineering value as the Swiss level escapement is the key component of mechanical watch movement. The precision dynamic model has very high numerical accuracy in describing/predicting their dynamics. The research helps to optimize the design of a commercial product. The model is validated by means of experiment. / Fu, Yu. / Adviser: Du Ruxu. / Source: Dissertation Abstracts International, Volume: 70-06, Section: B, page: 3745. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 137-142). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.

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

Yang, Fan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 73-77). / Abstracts in English and Chinese. / Abstract --- p.I / 摘要 --- p.III / Table of Contents --- p.V / List of Figures --- p.i / List of Tables --- p.A / Chapter 1. --- Introduction --- p.1 / Chapter 1.1. --- Literature Review --- p.1 / Chapter 1.2. --- Project Background --- p.10 / Chapter 1.3. --- Objectives --- p.14 / Chapter 2. --- Design of the micro assembly machine --- p.16 / Chapter 2.1. --- Aspects that need to be met --- p.16 / Chapter 2.2. --- Hardware of the micro assembly machine --- p.17 / Chapter 2.2.1. --- The vision system --- p.18 / Chapter 2.2.2. --- The control system --- p.19 / Chapter 2.2.3. --- The Actuating System --- p.21 / Chapter 2.2.3.1. --- The gripper --- p.22 / Chapter 2.2.3.2. --- The three axes --- p.28 / Chapter 2.2.3.3. --- The workbench --- p.31 / Chapter 2.2.4. --- The complete structure of the micro assembly machine --- p.32 / Chapter 2.3. --- The main features of the micro assembly machine --- p.34 / Chapter 3. --- Implementation --- p.35 / Chapter 3.1. --- Vision system --- p.35 / Chapter 3.2. --- Setting up the vision system --- p.36 / Chapter 3.3. --- Efficiency and form of the transferred data --- p.38 / Chapter 3.4. --- Control system --- p.39 / Chapter 3.4.1. --- Structure of the control system --- p.40 / Chapter 3.4.2. --- System control process --- p.44 / Chapter 3.4.3. --- The GUI --- p.45 / Chapter 3.4.4. --- Data processing --- p.48 / Chapter 3.5. --- Cooperation between the vision system and the control system --- p.49 / Chapter 4. --- Experimental results --- p.51 / Chapter 4.1 --- Accuracy in the x and y directions --- p.51 / Chapter 4.2 --- Effect of the vision system on accuracy --- p.57 / Chapter 4.3 --- Depth of the assembled ruby bearings --- p.62 / Chapter 4.4 --- Gradient of the rubies --- p.65 / Chapter 4.5 --- Analysis of the experimental data --- p.68 / Chapter 5 --- Conclusion and Future Work --- p.70 / References --- p.73