Vibrations of periodic sandwich plates with inert core

• Autorzy: Marczak J. , Jędrysiak J.
• Konferencja: Symposium Vibrations In Physical Systems (27 ; 09-13.05.2016 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this note a free vibration analysis of periodic three-layered sandwich structures is performed. The equations of motion of such structures, which are derived basing on Kirchhoff's thin plate theory, contain periodic, non-continuous and highly oscillating coefficients, which makes them difficult to solve. In this work, the tolerance averaging technique is applied in order to transform the mentioned system of equations into a form with constant coefficients, which takes into account the effect of the microstructure size. The differences between two modelling procedures are shown and discussed. Eventually, formulas for free vibration frequencies of an exemplary 2D structure are derived and an analysis of influence of certain varying material properties is performed.

Słowa kluczowe

EN

periodic sandwich plates; inert core; tolerance averaging; free vibrations; microstructure effect

PL

płyty warstwowe; tolerancyjne uśrednianie; drgania własne; drgania swobodne; efekt mikrostruktury

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 265--272
• Opis fizyczny: Bibliogr. 13 poz., rys., wykr.

Twórcy

autor

Marczak J.

• Department of Structural Mechanics, Łódź University of Technology, Al. Politechniki 6, 90-924 Łódź

autor

Jędrysiak J.

• Department of Structural Mechanics, Łódź University of Technology, Al. Politechniki 6, 90-924 Łódź

Bibliografia

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• 9. R.V. Kohn, M. Vogelius, A new model of thin plates with rapidly varying thickness, Int. J. Solids Struct., 20 (1984) 333 – 350.
• 10. Cz. Woźniak, E. Wierzbicki, Averaging techniques in thermomechanics of microheterogeneous solids and structures: Tolerance averaging versus homogenization, Publ. House of Częstochowa Univ. Technol., Częstochowa 2000.
• 11. Cz. Woźniak, B. Michalak, J. Jędrysiak (eds.), Thermomechanics of microheterogeneous solids and structures: Tolerance averaging approach, Technical University of Łódź Press, Łódź 2008.
• 12. Cz. Woźniak (eds.), Mathematical modelling and analysis in continuum mechanics of microstructured media, Pub. House of Silesian Tech. Univ., Gliwice 2010.
• 13. M. Kaźmierczak, J. Jędrysiak, A new asymptotic-tolerance model of vibrations of thin transversally graded plates, Engn. Struct., 46 (2013) 322 – 331.

Uwagi

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