Model of a mechanical clock escapement

American Journal of Physics

Volumn 80, Issue 7, 2012, Pages 599-606

  Moline, David ^a   Wagner, John ^a   Volk, Eugene ^b  

^a Clemson University   (United States)

^b National Association of Watch and Clock Collectors   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84862663650     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.4705517     Document Type: Article

References (19)

1. Boorstin D. A History of Man's Search to Know His World and Himself 1983, (Random House, New York).
2. Rawlings A.L. The Science of Clocks and Watches 1993, 3rd ed. (British Horological Institute, Upton, England,).
3. Bernstein D. Feedback control: An invisible thread in the history of technology. IEEE Control Syst. Mag. 2002, 22(2):53-68. 10.1109/37.993315.
4. Headrick M.V. Origin and evolution of the anchor clock escapement. IEEE Control Syst. Mag. 2002, 22(2):41-52. 10.1109/37.993314.
5. Andronov A.A. Vitt A.A. Khaikin S.E. Theory of Oscillators 1966, W. Fishwick, F. Immirzi, and edited by and translated by (Addison-Wesley, Reading, MA).
6. Kesteven M. On the mathematical theory of clock escapements. Am. J. Phys. 1978, 46(2):125-129. 10.1119/1.11369.
7. Lepschy A. Mian G. Viaro U. Feedback control in ancient water and mechanical clocks. IEEE Trans. Educ. 1992, 35(1):3-10. 10.1109/13.123411.
8. Roup A.V. Bernstein D.S. On the dynamics of the escapement mechanism of a mechanical clock. Proceedings of the 38th Conference on Decision and Control 1999, 2599-2604. and EEE Control System Society, Vol. 3, Phoenix, AZ, December.
9. de Carle D. Watch and Clock Encyclopedia 1977, (Bonanza Books, New York).
10. Roup A.V. Bernstein D.S. Nersesov S.G. Haddad W.M. Chellaboina V. Limit cycle analysis of the verge and foliot clock escapement using impulsive differential equations and Poincare maps. Int. J. Control 2003, 76(17):1685-1698. 10.1080/00207170310001632412.
11. Penman L. Practical Clock Escapements 1998, (ClockWorks, West Sacramento, CA).
12. Wagner J. Huey C. Knaub K. Volk E. Jagarwal A. Modeling and analysis of a weight driven mechanical tower clock. Proceedings of the 2010 American Controls Conference 2010, 634-639. Baltimore, MD, June.
13. Haug E.J. Intermediate Dynamics 1992, (Prentice-Hall, Englewood Cliffs, NJ).
14. Wagner J. Moline D. Volk E. Derivation of a Seth Thomas tower clock nonlinear mathematical model. Technical Report No. TR-2011-Wagner.
15. Reigel P. A spring-driven No. 2? What did Seth have in mind?. NAWCC Bull. 2004, 353:797-800.
16. Bateman D.A. Accuracy of pendulums and many factors that influence it. NAWCC Bull. 1994, 290:300-312.
17. Bateman D.A. Pendulum timekeepers and the factors that determine their accuracy. Horological J. 1989, 132:83-85, 134-135, 164-165, 203-204.
18. Analog Devices, "ADXRS150 ±150°/s single chip yaw rate gyro with signal conditioning,"
19. Mumford Micro Systems, 3933 Antone Road, Santa Barbara, CA 93110.