Free vibrations of medium thickness microstructured plates

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

Abstrakty

EN

A problem of free vibrations of medium thickness microstructured plates, which can be treated as made of functionally graded material on the macrolevel is presented. The size of the microstructure of these plates is of an order of the plate thickness. Averaged governing equations of these plates can be obtained using the tolerance modelling technique, cf. [18, 19, 9]. Because, the derived tolerance model equations have the terms dependent of the microstructure size, this model describes the effect of the microstructure size. Results can be evaluated introducing the asymptotic model. Calculated results can be compared to those from the finite element method or a similar tolerance model of thin plates, cf. [9].

Słowa kluczowe

EN

medium thickness functionally graded plates; microstructure; tolerance modelling

PL

płyty o funkcyjnej gradacji własności; mikrostruktura; modelowanie tolerancyjne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 169--174
• Opis fizyczny: Bibliogr. 19 poz., 1 rys., 1 wykr.

Twórcy

autor

Jędrysiak J.

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

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. E. Baron, Mechanics of periodic medium thickness plates, Publishing House of Silesian Univ. Techn., Gliwice 2006 [in Polish].
• 3. T. Q. Bui, A. Khosravifard, C. 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.
• 4. Ł. Domagalski, J. Jędrysiak, On the tolerance modelling of geometrically nonlinear thin periodic plates, Thin Walled Struct., 87 (2015) 183 – 190.
• 5. 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, Comp. Struct., 75 (2006) 593 – 600.
• 6. M. Grygorowicz, K. Magnucki, M. Malinowski, Elastic buckling of a sandwich beam with variable mechanical properties of the core, Thin-Walled Struct., 87 (2015) 127 – 132.
• 7. J. Jędrysiak, Higher order vibrations of thin periodic plates, Thin-Walled Struct., 47 (2009) 890 – 901.
• 8. J. Jędrysiak, Thermomechanics of laminates, plates and shells with functionally graded structure, Publishing House of Lodz Univ. Techn., Lodz 2010 [in Polish].
• 9. J. Jędrysiak, Modelling of dynamic behaviour of microstructured thin functionally graded plates, Thin-Walled Struct., 71 (2013) 102 – 107.
• 10. J. Jędrysiak, Free vibrations of thin functionally graded plates with microstructure, Engng. Struct., 75 (2014) 99 – 112.
• 11. J. Jędrysiak, B. Michalak, On the modelling of stability problems for thin plates with functionally graded structure, Thin-Walled Struct., 49 (2011) 627 – 635.
• 12. J. Jędrysiak, E. Pazera, Free vibrations of thin microstructured plates, Vibr. Phys. Systems, 26 (2014) 93 – 98.
• 13. M. Kaźmierczak, J. Jędrysiak, A new combined asymptotic-tolerance model of vibrations of thin transversally graded plates, Engng. Struct., 46 (2013) 322 – 331.
• 14. R. V. Kohn, M. Vogelius, A new model for thin plates with rapidly varying thickness, Int. J. Solids Struct., 20 (1984) 333 – 350.
• 15. J. Marczak, J. Jędrysiak, Tolerance modelling of vibrations of periodic three-layered plates with inert core, Comp. Struct., 134 (2015) 854 – 861.
• 16. B. Michalak, Thermomechanics of solids with a certain inhomogeneous microstructure, Publishing House of Lodz Univ. Techn., Lodz 2011 [in Polish].
• 17. F. Tornabene, E. Viola, Free vibration analysis of functionally graded panels and shells of revolution, Meccanica, 44 (2009) 255 – 281.
• 18. C. Woźniak, B. Michalak, J. Jędrysiak, Thermomechanics of heterogeneous solids and structures, Publishing House of Lodz Univ. Techn., Lodz 2008.
• 19. C. Woźniak, et al. (eds.), Mathematical modeling and analysis in continuum mechanics of microstructured media, Publishing House of Silesian Univ. Techn., Gliwice 2010.

Uwagi

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