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Stationary and Transient Processes in Oscillating Systems with Two Degrees of Freedom Subjected to Parametric and Forced Excitations

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 77))

Abstract

In the present paper, the interaction between forced and parametric oscillations in a system of two degrees of freedom is considered. The main attention will be paid to some typical forms of the resonance curves [1], [3]. For stationary oscillation, the singular points have been used to identify the resonance curves (paragraph 3). The transient passages through the resonance are considered. These processes still have typical characteristics of nonlinear purely forced systems [2]. The presence of the indirect parametrically — excited components introduces special features of the resonance curves (paragraph 5).

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References

  1. Mitropolskii, Yu.A., Nguyen Van Dao. Applied Asymptotic Methods in Nonlinear Oscillations. Kluwer Academic Publishers, Dordrecht, Netherlands, 1997.

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  2. Mitropolskii, Yu.A. Problems of Asymptotic Methods of Non-Stationary Oscillations. (in Russian), Nauka, Moscow, 1964.

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  3. Tran Kim Chi, Nguyen Van Dinh. On the interaction between forced and parametric oscillations in a system with two degrees of freedom. Journal of Mechanics, NCNST of Vietnam, 1, XIX (1997), 12–21.

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© 2000 Springer Science+Business Media Dordrecht

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Van Dinh, N., Chi, T.K. (2000). Stationary and Transient Processes in Oscillating Systems with Two Degrees of Freedom Subjected to Parametric and Forced Excitations. In: Van Dao, N., Kreuzer, E.J. (eds) IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems. Solid Mechanics and Its Applications, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4150-5_16

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  • DOI: https://doi.org/10.1007/978-94-011-4150-5_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5809-4

  • Online ISBN: 978-94-011-4150-5

  • eBook Packages: Springer Book Archive

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