On oscillations of a frictional pendulum

International Applied Mechanics

Volumn 42, Issue 2, 2006, Pages 214-220

  Martynyuk, A A ^a   Nikitina, N V ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Asymptotic theory; Dry friction; Limit cycle

Indexed keywords

ASYMPTOTIC THEORY; DRY FRICTION; LIMIT CYCLES;

ASYMPTOTIC STABILITY; ERROR DETECTION; FRICTION; PENDULUMS;

OSCILLATIONS;

EID: 33745186907     PISSN: 10637095     EISSN: 15738582     Source Type: Journal    
DOI: 10.1007/s10778-006-0079-y     Document Type: Article

References (13)

1. A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillators, Dover, New York (1987).
2. N. N. Bogolyubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, New York (1962).
3. V. F. Zhuravlyov and D. M. Klimov, Applied Methods in the Theory of Oscillations [in Russian], Nauka, Moscow (1988).
4. D. M. Klimov, "On one type of auto-oscillations in a dry-friction system, " Mekh. Tverd. Tela, No. 3, 6-12 (2003).
5. V. O. Kononenko, Nonlinear Vibrations of Mechanical Systems [in Russian], Naukova Dumka, Kiev (1980).
6. Ya. G. Panovko and I. I. Gubanova, Stability and Vibrations of Elastic Systems [in Russian], Nauka, Moscow (1967).
7. S. P. Strelkov, "Froude pendulum, " Zh. Tekhn, Fiz., 3, No. 4, 563-573 (1933).
8. C. Cruz-Hernandez, "Synchronization of time-delay Chua's oscillator with application to secure communication, " Nonlin. Dynam. Syst. Theor., 4, No. 1, 1-14 (2004).
9. D. Lopez-Mancilla and C. Cruz-Hernandez, "Output synchronization of chaotic systems: Model-matching approach with application to secure communication, " Nonlin. Dynam. Syst. Theor., 5, No. 2, 141-156 (2005).
10. V. V. Koval'chuk and V. L. Lobas, "Divergent bifurcation of a double pendulum under the action of an asymmetric follower systems, " Int. Appl. Mech., 40, No. 7, 821-828 (2004).
11. A. A. Maitynyuk and N. V. Nikitina, "Complex oscillations revisited, " Int. Appl. Mech., 41, No. 2, 179-186 (2005).
12. A. A. Martynyuk and N. V. Nikitina, "Complex behavior of a trajectory in single- and double-frequency systems, " Int. Appl. Mech., 41, No. 3, 315-323 (2005).
13. A. A. Martynyuk and N. V. Nikitina, "Nonlinear oscillations in a system with dry friction, " Int. Appl. Mech., 41, No. 4, 435-440 (2005).