Equations of motion of constrained mechanical systems: Given force depends on constraint force

Mechatronics

Volumn 9, Issue 4, 1999, Pages 411-428

  Chen, Y H ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; EQUATIONS OF MOTION; FRICTION; ROBOTICS;

CONSTRAINED MECHANICAL SYSTEM; LAGRANGEAN MECHANICS;

MECHATRONICS;

EID: 0032676346     PISSN: 09574158     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0957-4158(98)00053-1     Document Type: Article

References (16)

1. Rosenberg R.M. Analytical Dynamics of Discrete Systems. 1977;Plenum, New York.
2. Whittaker E.T. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. 4th ed :1993;Cambridge University Press, Cambridge. (First printing: 1904).
3. Lanczos C. The Variational Principles of Mechanics. 4th ed :1970;University of Toronto Press, Toronto. (Reprinted by Dover, New York, 1986; First printing: 1949).
4. Pars L.A. A Treatise on Analytical Dynamics. 1979;Ox Bow Press, Connecticut. (First printing: 1965).
5. Goldstein H. Classical Mechanics. 2nd ed :1982;Addison-Wesley, Reading.
6. Gantmacher F. Lectures in Analytical Mechanics. 1970;Mir Publishing, Moscow. (First printing: 1966).
7. Meirovitch L. Methods of Analytical Mechanics. 1970;McGraw-Hill, New York.
8. Greenwood D.T. Classical Dynamics. 1997;Dover, New York. (First printing: 1977).
9. Papastavridis J.G. Panoramic overview of the principles and equations of motion of advanced engineering dynamics. Applied Mechanics Review. 51:(4):1998;239-265.
10. Sciavicco L., Siciliano B. Modelling and Control of Robot Manipulators. 1996;McGraw-Hill, New York.
11. Chen Y.H. Second order constraints for equations of motion of constrained systems. IEEE/ASME Transactions on Mechatronics. 3:(3):1998;240-248.
12. Hamel G. Theoretische Mechanik. 1949;Springer-Verlag, Berlin, Gottingen, Heidelberg.
13. Noble B., Daniel J.W. Applied Linear Algebra. 2nd ed :1977;Prentice-Hall, Englewood Cliffs.
14. Udwadia F.E., Kalaba R.E. A new perspective on constrained motion. Proceedings of the Royal Society of London Series A. 439:(1906):1992;407-410.
15. Udwadia F.E., Kalaba R.E. On motion. Journal of the Franklin Institute. 330:(3):1993;571-577.
16. Craig J.J. Introduction to Robotics. 2nd ed :1986;Addison-Wesley, Reading.