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E-raamat: Mechanics of Mechanical Watches and Clocks

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"The Mechanics of Mechanical Watches and Clocks" presents historical views and mathematical models of mechanical watches and clocks. Although now over six hundred years old, mechanical watches and clocks are still popular luxury items that fascinate many people around the world. However few have examined the theory of how they work as presented in this book. The illustrations and computer animations are unique and have never been published before.It will be of significant interest to researchers in mechanical engineering, watchmakers and clockmakers, as well as people who have an engineering background and are interested in mechanical watches and clocks. It will also inspire people in other fields of science and technology, such as mechanical engineering and electronics engineering, to advance their designs.Professor Ruxu Du works at the Chinese University of Hong Kong, China. Assistant Professor Longhan Xie works at the South China University of Technology, China.

With lavish illustrations that include computer animation, this engaging presentation combines historical developments with mathematic theory to shed light on the inner workings of mechanical clocks and watches that still have the power to mesmerize us.

Arvustused

From the reviews:

An interesting and well-illustrated introduction into the history and current understanding of the mechanics of watches and clocks . Many of the results reported here were obtained by academicians in China, first published as PhD or Master theses, or various local research papers. The publication of this monograph in the Springer series History of Mechanism and Machine Science makes the interesting topic of design and manufacturing of mechanical watches and clocks easier accessible to the western research community. (Franz Selig, Zentralblatt MATH, Vol. 1262, 2013)

1 Introduction
1(4)
References
4(1)
2 A Brief Review of the Mechanics of Watch and Clock
5(42)
2.1 The Verge Escapement
7(3)
2.2 The Anchor Escapement
10(2)
2.3 Graham Escapement
12(5)
2.4 The Grasshopper Escapement
17(4)
2.5 The Spring Detent Escapement
21(5)
2.6 The Cylinder Escapement
26(4)
2.7 The English Lever Escapement
30(2)
2.8 The Swiss Lever Escapement
32(2)
2.9 The Daniel Co-Axial Escapement
34(4)
2.10 The Dual Ulysse Escapement
38(2)
2.11 Concluding Remarks
40(4)
References
44(3)
3 The Mechanics of the Swiss Lever Escapement
47(42)
3.1 Introduction to the Swiss Lever Escapement
47(2)
3.2 The Motion of the Swiss Lever Escapement
49(12)
3.3 Dynamic Modeling by Impulsive Differential Equations
61(20)
3.4 Modeling Using RecurDyn®
81(1)
3.5 Experimental Validation Using Acoustic Signals
82(3)
3.6 Sensitivity Analysis
85(1)
3.7 Concluding Remarks
86(1)
References
86(3)
4 The Mechanics of the Spiral Spring
89(26)
4.1 A Historical Review of Spiral Springs, Hairspring and Main Springs
89(3)
4.2 The Mechanics of the Hairspring
92(8)
4.2.1 The Model
93(5)
4.2.2 Computer Simulation
98(2)
4.3 The Effects of the Hairspring and the Tourbillon
100(12)
4.3.1 The Wave Equation for the Hairspring-Balance Wheel Assembly
102(5)
4.3.2 More Precise Description of the Hairspring Movement by Fourth-Order Differentials
107(3)
4.3.3 The Case of Tourbillon
110(2)
4.4 Concluding Remarks
112(1)
References
113(2)
5 Automatic Winding Device
115(28)
5.1 A Historical Review of the Automatic Winding Devices
115(2)
5.2 The ETA Automatic Winding Device
117(13)
5.2.1 The CAD Model
117(2)
5.2.2 The Kinematics Model
119(6)
5.2.3 Computer Simulation and Experimental Validation
125(5)
5.3 The Seiko Automatic Winding System
130(8)
5.3.1 The CAD Model
130(1)
5.3.2 The Kinematical Model
131(3)
5.3.3 Computer Simulation
134(4)
5.4 Energy Harvesting Based on the Automatic Winding Device
138(2)
5.5 Concluding Remarks
140(1)
References
141(2)
6 Gear and Power Transmission
143(28)
6.1 A Historical Review of the Gear Train in Mechanical Movements
143(2)
6.2 The Geometrical Model
145(1)
6.3 The FEA Model and Simulation Results
146(9)
6.3.1 The FEA Model for Bending Analysis
147(4)
6.3.2 The FEA Model for Contact Analysis
151(4)
6.4 Misalignment Errors and Their Effects
155(8)
6.4.1 The Description of the Misalignment Errors
155(2)
6.4.2 Loaded Tooth Contact Analysis
157(2)
6.4.3 The Effect of the Misalignment Errors on the Contact Zone
159(2)
6.4.4 Misalignment and Transmission Error
161(1)
6.4.5 Misalignment and Torque Transmission
162(1)
6.5 Tooth Profile Modification
163(5)
6.5.1 The Modified Tooth Profile
163(2)
6.5.2 Tooth Profile Modification and the Contact Zone
165(1)
6.5.3 Tooth Profile Modification and TE
166(1)
6.5.4 Torque Transmission After Tooth Modification
167(1)
6.6 Concluding Remarks
168(1)
References
168(3)
7 Concluding Remarks
171(4)
Appendix: Computer Animation 175(2)
Index 177
Prof. Ruxu Du was born in China in 1955. He received his Masters degree from the South China University of Technology in 1983 and his Ph.D. degree from the University of Michigan in 1989. He has taught in the North America for ten years before joining the Chinese University of Hong Kong. Currently, he is a professor in the Dept. of Mechanical and Automation Engineering. He is also the director of the Guangzhou Chinese Academy of Science (CAS) Institute of Advanced Technology. His areas of research include: design (mechanical watch and clock, industry sewing machine and etc.) and manufacturing (metal forming, machining, plastic injection molding and etc.), as well as energy and materials. He has published over 290 papers in various academic journals and international conferences. He is the associate editor / the members of editorial board of six international journals. He is a Fellow of ASME. He has being happily married since 1985 and has two children, Jin and Ann. He enjoys Chinese poetry and tennis.

Dr. Longhan Xie was born in China in 1978. He received his Bachelors degree in 2002 and Masters degree in 2005, both from Zhejiang University, China, and his Ph.D. degree in 2010 from the Chinese University of Hong Kong. Currently, he is an assistant professor in the School of Mechanical and Automotive Engineering, the South China University of Technology. His areas of research include product design, CAD/CAE and energy harvesting devices.