Nonlinear vibrations of periodic beams

• Autorzy: Domagalski Ł. , Jędrysiak J.

Identyfikatory

DOI

10.15632/jtam-pl.54.4.1095

• Języki publikacji: EN

Abstrakty

EN

Geometrically nonlinear vibrations of beams with properties periodically varying along the axis are investigated. The tolerance method of averaging differential operators with highly oscillating coefficients is applied to obtain governing equations with constant coefficients. The proposed model describes dynamics of the beam with the effect of microstructure size. In an example, an analysis of undamped forced nonlinear vibrations of the periodic beam is shown. Moreover, the results obtained for undamped free vibrations of periodic beams by the tolerance model are justified by those results from the finite element method. These results can be used as a benchmark in similar problems.

Słowa kluczowe

EN

nonlinear vibrations; periodic beams; tolerance modelling

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 4
• Strony: 1095--1108
• Opis fizyczny: Bibliogr. 35 poz., rys., tab.

Twórcy

autor

Domagalski Ł.

• Lodz University of Technology, Department of Structural Mechanics, Łódź, Poland

autor

Jędrysiak J.

• Lodz University of Technology, Department of Structural Mechanics, Łódź, Poland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.