Asymptotic-tolerance modelling on vibrations of functionally graded thin plates

• Autorzy: Kaźmierczak M. , Jędrysiak J.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this note there are considered functionally graded plates. To describe vibrations of these plates and take into account the effect of the microstructure, the tolerance averaging method is applied, cf. [7, 8]. There are formulated governing equations of the asymptotic-tolerance model, cf. [8]. Calculational results obtained for a functionally graded plate band using the proposed model, are compared to results by the known – tolerance and asymptotic models.

Słowa kluczowe

EN

thin functionally graded plates; tolerance-periodic microstructure; tolerance modelling

PL

cienka płyta gradientowa; mikrostruktura periodyczna; modelowanie tolerancyjne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 217--222
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr.

Twórcy

autor

Kaźmierczak M.

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

autor

Jędrysiak J.

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

Bibliografia

• 1. J. Jędrysiak, Higher order vibrations of thin periodic plates, Thin-Walled Struct., 47 (2009) 890-901.
• 2. J. Jędrysiak, Thermomechanics of laminates, plates and shells with functionally graded structure, Łódź, Wyd. Politechniki Łódzkiej 2010 [in Polish].
• 3. M. Kaźmierczak, J. Jędrysiak, Free vibrations of transversally graded plate bands, EJPAU, Civ. Engrng., 13, 4 (2010) (online: www.ejpau.media.pl).
• 4. M. Kaźmierczak, J. Jędrysiak, Tolerance modelling of vibrations of thin functionally graded plates, Thin-Walled Struc., 49 (2011) 1295-1303.
• 5. B. Michalak, Dynamics and stability of wavy-type plates, Łódź, Wyd. Politechniki Łódzkiej 2001 [in Polish].
• 6. B. Tomczyk, On the modelling of thin uniperiodic cylindrical shells, J. Theor. Appl. Mech., 41 (2003) 755-774.
• 7. Cz. Woźniak, B. Michalak, J. Jędrysiak (eds.), Thermomechanics of heterogeneous solids and structures, Łódź, Wyd. Politechniki Łódzkiej 2008.
• 8. Cz. Woźniak, et al. (eds.), Mathematical modelling and analysis in continuum mechanics of microstructured media, Gliwice, Wyd. Politechniki Śląskiej 2010.