The contributions of Professor Nguyen Van Dao in the Field of Nonlinear Oscillations
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https://doi.org/10.15625/0866-7136/17588Keywords:
Nguyen Van Dao, mechanics in Vietnam, nonlinear oscillationAbstract
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.
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N. N. Bogoliubov and Y. A. Mitropolskii. Asymptotic methods in the theory of nonlinear oscillations. Gordon and Breach, New York, (1961).
A. H. Nayfeh and D. T. Mook. Nonlinear oscillations. JohnWiley & Sons, New York, (1979).
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
Y. A. Mitropolskii and N. V. Dao. Lectures on asymptotic methods of nonlinear dynamics. Vietnam National University Publishing House, Hanoi, (2003).
Y. A. Mitropolskii, N. V. Dao, and N. D. Anh. Nonlinear oscillations in systems of arbitrary order. Nauka Dumka, Kiev, (1992). (in Russian).
N. V. Dao and N. V. Dinh. Interaction between nonlinear oscillating systems. Vietnam National University Publishing House, Hanoi, (1999).
N. V. Dao. Fundamental methods of the theory of nonlinear vibrations. University and Professional Secondary Publishing House, Hanoi, (1971). (in Vietnamese).
N. V. Dao, T. K. Chi, and N. Dung. An introduction to nonlinear dynamic and chaos. Vietnam National University Publishing House, Hanoi, (2005). (in Vietnamese).
N. V. Dao. Nonlinear oscillations of high order systems. NCSR Vietnam, Hanoi, (1979).
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
N. V. Dao. Nonlinear oscillation of third order systems—Part 2: non-autonomous systems. Journal of Technical Physics, 21, (1), (1980), pp. 125–134.
N. V. Dao. Nonlinear oscillation of third order systems—Part 3: parametric systems. Journal of Technical Physics, 21, (2), (1980), pp. 253–265.
B. P. Demidovich. Lectures on the mathematical stability theory. Nauka, Moscow, (1967). (in Rusian).
I. G. Mankin. Theory of stability of motion. Nauka, Moscow, (1966). (in Rusian).
N. V. Dao. Stability of dynamic systems. Vietnam National University Publishing House, Hanoi, (1998).
J. P. Den Hartog. Mechanical vibrations. Dover, New York, 4th edition, (1956).
B. G. Korenev and L. M. Reznikov. Dynamic vibration absorbers. JohnWiley & Sons, New York, (1993).
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
A. Tondl. Application of tuned absorber to self-excited systems with several mases. In Proceedings of the XIth conference Dynamics of Machines, Prague, (1977).
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. Nonstationary vibrations of dynamic system with absorber. Bulletin of Academy of Sciences of USSR, Mechanics, (4), (1965), pp. 92–96.
N. V. Dao. Vibration and stability of dynamic systems with absorbers. PhD Thesis, Moscow University, (1965).
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
A. H. Nayfeh. Nonlinear interactions: analytical, computational, and experimental methods. John Wiley & Sons, New York, (2000).
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
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.
S. H. Strogatz. Nonlinear dynamics and chaos. Addison-Wesley, Reading, (1994).
T. Kapitaniak. Chaos for engineers. Springer-Verlag, Berlin, (1998).
DOI: https://doi.org/10.1007/978-3-642-97719-0
J. M. T. Thompson and H. B. Stewart. Nonlinear dynamics and chaos. John Wiley and Sons, New York, 2nd edition, (2002).
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
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