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Interaction between low and high-frequency Modes in a Nonlinear System: Gas-Filled Cylinder Covered by a movable Piston
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2003 (English)In: Nonlinear dynamics, ISSN 0924-090X, E-ISSN 1573-269X, Vol. 32, no 4, 405-416 p.Article in journal (Refereed) PublishedAlternative title
Samverkan mellan låg- och hög-frekvensmoder i ett ickelinärt system : gasfylld cylinder täckt av rörlig pistong (Swedish)
Abstract [en]

A simple mechanical system containing a low-frequency vibration mode and set of high-frequency acoustic modes is considered. The frequency response is calculated. Nonlinear behaviour and interaction between modes is described by system of functional equations. Two types of nonlinearities are taken into account. The first one is caused by the finite displacement of a movable boundary, and the second one is the volume nonlinearity of gas. New mathematical models based on nonlinear equations are suggested. Some examples of nonlinear phenomena are discussed on the base of derived solutions.

Place, publisher, year, edition, pages
Dordrecht: Kluwer , 2003. Vol. 32, no 4, 405-416 p.
Keyword [en]
vibration, wave, acoustics, nonlinear interaction, mathematical model
National Category
Mathematical Analysis Applied Mechanics
URN: urn:nbn:se:bth-9403ISI: 000185208800005Local ID: diva2:837240
Available from: 2012-09-18 Created: 2003-09-02 Last updated: 2015-06-30Bibliographically approved

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Hedberg, ClaesRudenko, Oleg
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