Parametric oscillations of the mechanical systems

Branislav Ftorek; Pavol Oršanský; Helena Šamajová

doi:10.1051/matecconf/201815708002

All issues

Volume 157 (2018)

MATEC Web Conf., 157 (2018) 08002

References

Open Access

Issue		MATEC Web Conf. Volume 157, 2018 Machine Modelling and Simulations 2017 (MMS 2017)


Article Number		08002
Number of page(s)		7
Section		Theoretical and applied mathematics in engineering
DOI		https://doi.org/10.1051/matecconf/201815708002
Published online		14 March 2018

R. Kawai, K. Lindenberg, C. Van den Broeck: Parametrically modulated oscillator dimer: an analytic solution. Physica A 312, 119-140, (2002) [CrossRef] [Google Scholar]
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J. Zapoměl, V. Dekýš, P. Ferfecki, A. Sapietová, M. Sága, M. Žmindák: Identification of Material Damping of a Carbon Composite Bar and Study of Its Effect on Attenuation of Its Transient Lateral Vibrations. International Journal of Applied Mechanics 7, 1-18, (2015) [Google Scholar]
R. A. Struble: Nonlinear differential equations. McGraw-Hill book company, New York, (1962) [Google Scholar]
J. D. Murray: Asymptotic analysis. Applied mathematical sciences, Springer-Verlag, New-York, (1984) [CrossRef] [Google Scholar]
E. Wiszt, E. Wisztová: An approximative solution of some second order differential equation with variable coefficients. Studies of the University of Žilina, Math. Series 21, 45-52 (2007) [Google Scholar]

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[1] R. Kawai, K. Lindenberg, C. Van den Broeck: Parametrically modulated oscillator dimer: an analytic solution. Physica A 312, 119-140, (2002) [CrossRef] [Google Scholar]

[2] S. H. Strogatz: Nonlinear dynamics and chaos. Westview Press, Cambridge, (1994) [Google Scholar]

[3] J. Zapoměl, V. Dekýš, P. Ferfecki, A. Sapietová, M. Sága, M. Žmindák: Identification of Material Damping of a Carbon Composite Bar and Study of Its Effect on Attenuation of Its Transient Lateral Vibrations. International Journal of Applied Mechanics 7, 1-18, (2015) [Google Scholar]

[4] R. A. Struble: Nonlinear differential equations. McGraw-Hill book company, New York, (1962) [Google Scholar]

[5] J. D. Murray: Asymptotic analysis. Applied mathematical sciences, Springer-Verlag, New-York, (1984) [CrossRef] [Google Scholar]

[6] E. Wiszt, E. Wisztová: An approximative solution of some second order differential equation with variable coefficients. Studies of the University of Žilina, Math. Series 21, 45-52 (2007) [Google Scholar]