Free vibrations of thin microstructured plates

• Autorzy: Jędrysiak J. , Pazera E.
• Konferencja: Symposium “Vibrations In Physical Systems” (26 ; 04-08.05.2014 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this paper it is presented a problem of free vibrations of thin microstructured plates, which can be treated as made of functionally graded material on the macrolevel. The size of the microstructure of the plates is of an order of the plate thickness. In order to obtain averaged governing equations of these plates the tolerance modelling technique is applied, cf. [14, 15, 7]. The derived tolerance model equations have the terms dependent of the microstructure size. Hence, the tolerance model describes the effect of the microstructure size. In order to evaluate results, the asymptotic model is introduced. Obtained results can be compared to those calculated by using the finite element method.

Słowa kluczowe

EN

thin functionally graded plates; microstructure; tolerance modelling

PL

cienka płyta gradientowa; mikrostruktura; modelowanie tolerancyjne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2014
• Tom: Vol. 26
• Strony: 93--98
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Jędrysiak J.

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

autor

Pazera E.

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

Bibliografia

• 1. A.H. Akbarzadeha, M. Abbasib, M.R. Eslami, Coupled thermoelasticity of functionally graded plates based on the third-order shear deformation theory, Thin-Walled Struct., 53 (2012) 141-155.
• 2. T.Q. Bui, A. Khosravifard, Ch. Zhang, M.R. Hematiyan, M.V. Golu, Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method, Engng. Struct., 47 (2013) 90-104.
• 3. Ł. Domagalski, J. Jędrysiak, On the elastostatics of thin periodic plates with large deflections, Meccanica, 47 (2012) 1659-1671.
• 4. A.J.M. Ferreira, R.C. Batra, C.M.C. Roque, L.F. Qian, R.M.N. Jorge, Natural frequencies of functionally graded plates by a meshless method, Composite Struct., 75 (2006) 593-600.
• 5. J. Jędrysiak, Higher order vibrations of thin periodic plates, Thin-Walled Struct., 47 (2009) 890-901.
• 6. J. Jędrysiak, Thermomechanics of laminates, plates and shells with functionally graded structure, Lodz, Publishing House of Lodz University of Technology 2010 [in Polish].
• 7. J. Jędrysiak, Modelling of dynamic behaviour of microstructured thin functionally graded plates, Thin-Walled Struct., 71 (2013) 102-107.
• 8. J. Jędrysiak, B. Michalak, On the modelling of stability problems for thin plates with functionally graded structure, Thin-Walled Struct., 49 (2011) 627-635.
• 9. M. Kaźmierczak, J. Jędrysiak, Tolerance modeling of vibrations of thin functionally graded plates, Thin-Walled Struct., 49 (2011) 1295-1303.
• 10. M. Kaźmierczak, J. Jędrysiak, A new combined asymptotic-tolerance model of vibrations of thin transversally graded plates, Engng. Struct., 46 (2013) 322-331.
• 11. R.V. Kohn, M. Vogelius, A new model for thin plates with rapidly varying thickness, Int. J. Solids Struct., 20 (1984) 333-350.
• 12. B. Michalak, Thermomechanics of solids with a certain inhomogeneous microstructure, Lodz, Publishing House of Lodz University of Technology 2011 [in Polish].
• 13. F. Tornabene, E. Viola, Free vibration analysis of functionally graded panels and shells of revolution, Meccanica, 44 (2009) 255-281.
• 14. Cz. Woźniak, B. Michalak, J. Jędrysiak, Thermomechanics of heterogeneous solids and structures, Lodz, Publishing House of Lodz University of Technology 2008.
• 15. Cz. Woźniak, et al. (eds.), Mathematical modeling and analysis in continuum mechanics of microstructured media, Gliwice, Publishing House of Silesian University of Technology 2010.