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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

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

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BI - Acoustics and oscillation

  • OECD FORD branch

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

  • 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

  • UT code for WoS article

  • EID of the result in the Scopus database

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BI - Acoustics and oscillation

Year of implementation

2010