Overview Study of the Analytical Analysis of the Internal Dynamics of Nonlinear Time Heteronymous Planetary Differential Systems

Milan Hortel; Alena Škuderová

doi:10.4028/www.scientific.net/AMM.821.213

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Overview Study of the Analytical Analysis of the Internal Dynamics of Nonlinear Time Heteronymous Planetary Differential Systems
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 821Overview Study of the Analytical Analysis of the...

Overview Study of the Analytical Analysis of the Internal Dynamics of Nonlinear Time Heteronymous Planetary Differential Systems

Abstract:

The light high-speed transmission systems with minimum dimensions and weights may show a wide spectrum of properties extending from the regular - periodic solutions to irregular ones of chaotic character. The method of transformation of differential boundary value problems to equivalent nonlinear integro-differential equations with solving kernels of Green’s type and the method of successive approximations are applied for analytical analysis of dynamic phenomena. The paper contains the concise summary of the long-term studies in the given area of basic research.

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Periodical:

Applied Mechanics and Materials (Volume 821)

Pages:

213-220

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.821.213

Citation:

Cite this paper

Online since:

January 2016

Authors:

Milan Hortel*, Alena Škuderová

Keywords:

Damping in Gear Meshes, Nonlinear Dynamics, Time Heteronymous Systems

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References

[1] Hortel, M.: Dynamics of nonlinear parametric transmission systems, P AS CR Prague. (in print, Czech language).

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[2] Hortel, M.: Integrodifferentialgleichung in der Analyse von Phänomenen in nichtlinearen parametererregten Systemen. (Integro-differential equations in analysis of phenomena in nonlinear parametric excited systems. ) In: Recent Advances in Mechanics of Solids and Fluids. Bd. 1-3, Technische Universität Wien, 28. November 1997. (in German).

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[3] Hortel, M., Škuderová, A.: To the analysis of deterministic nonlinear parametric systems with the occurence of irregular – chaotic vibration. Research report of IT AS CR Prague, Z 1193/94. (in Czech).

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[4] Hortel, M., Škuderová, A.: Linear, nonlinear – quadratic and combined time heteronymous damping in internal dynamics of nonlinear parametric systems. Colloqium Dynamics of Machines 2014, IT AS CR, v. v. i., Prague, Ed. L. Pešek, pp.53-64.

DOI: 10.1007/s00707-013-1041-9

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