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Linear time heteronymous damping in nonlinear parametric systems
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SYSNO ASEP 0466371 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Linear time heteronymous damping in nonlinear parametric systems Author(s) Hortel, Milan (UT-L) RID
Škuderová, Alena (UT-L) RID
Houfek, Martin (UT-L) RIDNumber of authors 3 Source Title Applied Mathematical Modelling. - : Elsevier - ISSN 0307-904X
Roč. 40, 23-24 (2016), s. 10038-10051Number of pages 14 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords nonlinear dynamics of systems ; parametric systems ; time heteronymous damping ; gears Subject RIV JT - Propulsion, Motors ; Fuels Institutional support UT-L - RVO:61388998 UT WOS 000393539100023 EID SCOPUS 84995571144 DOI 10.1016/j.apm.2016.06.056 Annotation Basic research is a significant part of the dynamic analysis of complex planetary systems with kinematic couplings – gears. The high-speed light weakly and strongly non-linear parametric systems with minimum dimensions and masses are highly sensitive to the quality and quantity of their parameters. By influence of lightening holes in the discs of cogwheels, the damping in these systems can be time heteronymous. It reflects in the bifurcation characteristics of resonance courses of these systems and in their ambiguities. At the mass discretization, the analytical and numerical solution of these systems leads, to complicated systems of integro-differential equations with solving kernels in the form of Green´s resolventes and to complicated simulation models in MATLAB/Simulink. In terms of the internal dynamics, the special case of one transfer branch of split power flow of planetary system with six degrees of freedom will be analyzed in the study, i.e. the causation of quality and quantity of courses of bifurcation resonance characteristics and formation of ambiguity of characteristics of relative motions in gear meshes from view of influence of linear time heteronymous damping. 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 2017
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