Nonlinear oscillations in a system with dry friction

International Applied Mechanics

Volumn 41, Issue 4, 2005, Pages 435-440

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

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Asymmetry; Closed trajectory; Dry friction

Indexed keywords

ASYMMETRY; CLOSED TRAJECTORY; DRY FRICTION; PHASE TRAJECTORY;

ELASTICITY; FRICTION; HYDRODYNAMICS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; STABILITY; STIFFNESS;

OSCILLATORS (MECHANICAL);

EID: 23344453987     PISSN: 10637095     EISSN: 15738582     Source Type: Journal    
DOI: 10.1007/s10778-005-0107-3     Document Type: Article

References (9)

1. A. A. Andronov, A. A. Vitt, and S. É. Khaikin, Theory of Oscillations [in Russian], Nauka, Moscow (1981).
2. V. I. Arnol'd, V. V. Kozlov, and A. I. Neishtadt, "Mathematical aspects of classical and celestial mechanics," in: Modern Problems of Mathematics: Fundamental Research Areas [in Russian], Vol. 3, VINITI AN SSSR, Moscow (1985).
3. N. N. Bogolyubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, New York (1962).
4. D. M. Klimov, "One type of self-oscillations in a system with dry friction," Mekh. Tverd. Tela, No. 3, 6-12 (2003).
5. N. V. Nikitina and I. V. Tsidylo, "Vibrations of a gyroscopic meridian-plane sensor in a fluid suspension," Int. Appl. Mech., 30, No. 1, 77-83 (1994).
6. A. A. Martynyuk and N. V. Nikitina, "On an approximate solution of the Van der Pol equations with a large parameter," Int. Appl. Mech., 38, No. 8, 1017-1023 (2002).
7. A. A. Martynyuk and N. V. Nikitina, "A note on bifurcations of motions in the Lorenz system," Int. Appl. Mech., 39, No. 2, 224-231 (2003).
8. A. A. Martynyuk and N. V. Nikitina, "Saddle limit cycles in the Lorenz system," Int. Appl. Mech., 39, No. 5, 613-620 (2003).
9. A. A. Martynyuk and N. V. Nikitina, "Studying the complex oscillations of a star in the field of a galaxy," Int. Appl. Mech., 40, No. 4, 453-461 (2004).