The contributions of Professor Nguyen Van Dao in the Field of Nonlinear Oscillations
Keywords:Nguyen Van Dao, mechanics in Vietnam, nonlinear oscillation
Nguyen Van Dao is a leading expert in the field of mechanics in Vietnam. In this paper, we present some contributions of Nguyen Van Dao to the theory of nonlinear oscillation. His outstanding studies are the interaction between self-excited, forced and parametric vibrations, and equally important there is the effect of dynamic absorbers in nonlinear systems.
Y. A. Mitropolskii and N. V. Dao. Applied asymptotic methods in nonlinear oscillations. Ukrainian Academy of Sciences and National Centre for Natural Science and Technology of Vietnam, Kiev-Hanoi, (1994).
Y. A. Mitropolskii and N. V. Dao. Applied asymptotic methods in nonlinear oscillations. Kluwer Academic Publisher, (1997). DOI: https://doi.org/10.1007/978-94-015-8847-8
N. V. Dao. Nonlinear oscillation of third order systems—Part 1: autonomous systems. Journal of Technical Physics, 20, (4), (1979), pp. 511–519. DOI: https://doi.org/10.15625/0866-7136/9895
W. M. Mansour. Quenching of limit cycles of a Van der Pol oscillator. Journal of Sound and Vibration, 25, (1972), pp. 395–405. DOI: https://doi.org/10.1016/0022-460X(72)90190-3
W. R. Clendening and R. N. Dubey. An analysis of control methods for galloping systems. Journal of Engineering for Industry, 95, (1973), pp. 780–786. DOI: https://doi.org/10.1115/1.3438225
A. Tondl. Quenching of self-excited vibrations equilibrium aspects. Journal of Sound and Vibration, 42, (1975), pp. 251–260. DOI: https://doi.org/10.1016/0022-460X(75)90220-5
A. Tondl. Quenching of self-excited vibrations: effect of dry friction. Journal of Sound and Vibration, 45, (1976), pp. 285–294. DOI: https://doi.org/10.1016/0022-460X(76)90602-7
P. Hagedorn. U¨ ber die Tilgung selbsterregter Schwingungen. Zeitschrift fu¨ r angewandteMathematik und Physik ZAMP, 29, (1978), pp. 815–821. DOI: https://doi.org/10.1007/BF01589292
N. V. Dao and N. V. Dinh. Dynamic absorber effect for self-excited systems. Advances in Mechanics, Warsaw, 14, (4), (1991), pp. 3–40. DOI: https://doi.org/10.15625/0866-7136/10449
N. Minorsky and T. Teichmann. Nonlinear oscillations. D. van Nostrand, London, (1962). DOI: https://doi.org/10.1063/1.3058390
N. V. Dao, N. V. Dinh, and T. K. Chi. Interaction between nonlinear parametric and forced oscillations. Vietnam Journal of Mechanics, 20, (1998), pp. 16–23. DOI: https://doi.org/10.15625/0866-7136/10024
T. Kapitaniak. Chaos for engineers. Springer-Verlag, Berlin, (1998). DOI: https://doi.org/10.1007/978-3-642-97719-0
F. C. Moon. Chaotic vibrations. JohnWiley, New Jersey, (2004). DOI: https://doi.org/10.1002/3527602844
N. V. Dao, N. V. Dinh, and T. K. Chi. Van der Pol oscillator under parametric and forced excitations. Ukrainian Mathematical Journal, 59, (2007), pp. 215–228. DOI: https://doi.org/10.1007/s11253-007-0017-0
N. V. Dao, N. V. Dinh, T. K. Chi, and N. Dung. A numerical approach of chaotic motions in a Duffing-Van der Pol oscillator. Vietnam Journal of Mechanics, 29, (2007), pp. 197–206. DOI: https://doi.org/10.15625/0866-7136/29/3/5532
N. V. Dao, N. V. Dinh, and T. K. Chi. Van der Pol's oscillator under the parametric and forced excitations. Vietnam Journal of Mechanics, 29, (2007), pp. 207–219. DOI: https://doi.org/10.15625/0866-7136/29/3/5533
How to Cite
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.