Integrodifferential equations in the analysis of internal dynamics of planetary transmission systems
Result description
More accurately analysis of high-speed planetary transmission systems leads to mathematical ? physical models, whose motions by mass discretisation are described by means of deterministic ordinary nonlinear time heteronymous differential equations. Thesesystems of n DOF can have a broad attribute spectrum from regular periodic till irregular of chaotic character. To dynamic analysis of this complicated systems is applied the global analytical method of transformation of non-linear boundary problem of differential equations into equivalent problem of solving integro-differential systems of equations by the method of decomposition of solving kernels of Green?s type and by the method of successive approximations.
Keywords
integrodifferential equationsnonlinear dynamicsparametric vibration
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
němčina
Original language name
Integrodifferentialgleichungen in der Analyse innerer Dynamik von Planetengetrieben
Original language description
Genauere dynamische Analyse von hochtourigen Planetengetrieben fuehrt auf mathematisch - physikalische Modelle, deren Bewegungen bei Anwendung der Massendiskretisierung durch deterministische gewoehnliche nichtlineare zeitlich heteronome Differentialgleichungen beschrieben werden. Diese Systeme von n Freiheitsgraden koennen ein breites Spektrum von Eigenschaften aufweisen, das von regulaeren periodischen bis zu irregulaeren Loesungen vom chaotischen Charakter reicht. Zur dynamischen Analyse solcher komplizierten Systeme wurde ein sukzessives Approximationsverfahren der zur Differentialrandwertaufgabe aequivalenten Integrodifferentialgleichungen mit loesenden Kern in Form von einer Greenschen Resolvente angewendet.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BI - Acoustics and oscillation
OECD FORD branch
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Result continuities
Project
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings in Applied Mathematics and Mechanics
ISSN
1617-7061
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
2
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BI - Acoustics and oscillation
Year of implementation
2010