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Nonlinear time heteronymous damping in nonlinear parametric planetary systems
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SYSNO ASEP 0429219 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Nonlinear time heteronymous damping in nonlinear parametric planetary systems Author(s) Hortel, Milan (UT-L) RID
Škuderová, Alena (UT-L) RIDNumber of authors 2 Source Title Acta Mechanica. - : Springer - ISSN 0001-5970
Roč. 225, č. 7 (2014), s. 2059-2073Number of pages 15 s. Publication form Print - P Language eng - English Country AT - Austria Keywords nonlinear dynamics ; planetary systems ; heteronymous damping Subject RIV JT - Propulsion, Motors ; Fuels Institutional support UT-L - RVO:61388998 UT WOS 000338343800015 EID SCOPUS 84904189857 DOI 10.1007/s00707-013-1041-9 Annotation The analysis of dynamics of time heteronymous weakly and strongly nonlinear planetary transmission systems with kinematic couplings–gears constitutes a study of complicated function of many parameters including the material of gears, damping properties and damping viscous properties of lubricating oil film in the gear mesh. The purpose of this theoretical preexperimental study is to educe the methodology that makes possible to analyse the influence of all parameter variants in the area of linear and nonlinear systems with constant and time variable damping on internal dynamics. More precise dynamic analysis of such systems leads to mathematical–physical models, whose motions are described by ordinary deterministic nonlinear time heteronymous differential equations at the application of mass discretization. Their solution leads to the method of transformation of the nonlinear boundary problem of differential equations into the equivalent problem of solving integro-differential systems of equations by themethod of decomposition of solving kernels of Green’s type and by the method of successive approximations. The structures with lightening holes in cog wheel discs are characterized by time variable damping in gear meshes. In this paper, the examples of resonance bifurcation characteristics in the gear mesh give a comparison between two variants with lightening wheel discs and the variant with full wheel disc, i.e. two variants with time variable quadratic damping and the variant with the constant one. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2015
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