Trial-and-error procedure for single-degree-of-freedom systems with friction-affected sliding joints

Journal of Sound and Vibration

Volumn 191, Issue 4, 1996, Pages 578-605

  Klepp, H J ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FRICTION; JOINTS (STRUCTURAL COMPONENTS); LINEAR ALGEBRA; PROBLEM SOLVING;

SLIDING JOINTS;

STRUCTURAL ANALYSIS;

EID: 0041513605     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0144     Document Type: Article

References (12)

1. G. SCHMIDT and A. TONDL 1986 Non-linear Vibrations. Cambridge: Cambridge University Press. See pp. 166-170, 239-246 and 282-313.
2. P. PAINLEVÉ 1975 Oeuvres, Tome III, Equations Differentielles du Second Ordre. Mecanique. Quelques Documents. I.R.M.A., Paris: Editions du Centre National de la Recherche Scientifique. See pp. 280-289, 321-324 and 370-386.
3. G. HAMEL 1967 Theoretische Mechanik. Berlin: Springer-Verlag. See pp. 543-549 and 629-639.
4. P. LöTSTEDT 1981 Zeitschrift für angewandte Mathematik und Mechanik 61, 605-615. Coulomb friction in two-dimensional rigid body systems.
5. P. E. DUPONT 1992 Proceedings of the 1992 IEEE International Conference on Robotics and Automation, Nice, France, May 1992, 1442-1447. The effect of Coulomb friction on the existence and uniqueness of the forward dynamics problem.
6. B. ARMSTRONG-HÉLOUVRY, P. DUPONT and C. CANUDAS DE WIT 1994 Automatica 30(7), 1083-1138. A survey of models, analysis tools and compensation methods for the control of machines with friction.
7. B. PAUL 1976 Kinematics and Dynamics of Planar Machinery. Englewood Cliffs, New Jersey: Prentice-Hall. See pp. 428-464.
8. H. J. KLEPP 1994 Zeitschrift für angewandte Mathematik und Mechanik 74, 397-407. Non-linear and iterative mechanics for the investigation of multi-body systems with friction.
9. H. J. KLEPP 1994 Journal of Sound and Vibration 175, 138-143. The existence and uniqueness of solutions for the pendulum with friction.
10. H. J. KLEPP 1995 Journal of Sound and Vibration 185, 364-371. The existence and uniqueness of solutions for a single degree of freedom system with two friction-affected sliding joints.
11. R. M. ROSENBERG 1977 Analytical Dynamics of Discrete Systems. New York: Plenum Press. See pp. 201-202.
12. G. A. KORN and T. M. KORN 1968 Mathematical Handbook for Scientists and Engineers. New York: McGraw-Hill; second edition. See pp. 719-721.