Higher order vibrations of thin periodic plate bands with various boundary conditions

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

Abstrakty

EN

In this contribution there are considered thin periodic plates. The tolerance averaging method, cf. [12, 13, 4], is applied to model problems of vibrations of these plates. Hence, the effect of the microstructure size is taken into account in model equations of the tolerance model. Calculations are made for periodic plate bands using this model and the asymptotic model for various boundary conditions.

Słowa kluczowe

EN

periodic plates; effect of microstructure size; higher order vibrations; tolerance modelling

PL

płyty periodyczne; rozmiar mikrostruktury; drgania wyższego rzędu; modelowanie tolerancyjne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 181--186
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Jędrysiak J.

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

autor

Wyrwa P.

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

Bibliografia

• 1. Ł. Domagalski, J. Jędrysiak, On the elastostatics of thin periodic plates with large deflections, Meccanica, 47 (2012) 1659 – 1671.
• 2. Ł. Domagalski, J. Jędrysiak, Nonlinear vibrations of periodic beams, Vibr. Phys. Syst., 26 (2014) 73 – 78.
• 3. J. Jędrysiak, Higher order vibrations of thin periodic plates, Thin-Walled Struct., 47 (2009) 890 – 901.
• 4. J. Jędrysiak, Thermomechanics of laminates, plates and shells with functionally graded structure, Łódź, Wyd. Politechniki Łódzkiej 2010 [in Polish].
• 5. J. Jędrysiak, E. Pazera, Free vibrations of thin microstructured plates, Vibr. Phys. Syst., 26 (2014) 93 – 98.
• 6. M. Kaźmierczak, J. Jędrysiak, Tolerance modelling of vibrations of thin functionally graded plates, Thin-Walled Struc., 49 (2011) 1295 – 1303.
• 7. R. V. Kohn, M. Vogelius, A new model for thin plates with rapidly varying thickness, Int. J. Solids Struct., 20 (1984) 333 – 350.
• 8. J. Marczak, J. Jędrysiak, Analysis of vibrations of plate strip with concentrated masses using tolerance averaging technique, Vibr. Phys. Syst., 26 (2014) 161 – 168.
• 9. J. Marczak, J. Jędrysiak, Tolerance modelling of vibrations of periodic threelayered plates with inert core, Comp. Struct., 134 (2015) 854 – 861.
• 10. B. Michalak, Dynamics and stability of wavy-type plates, Łódź, Wyd. Politechniki Łódzkiej 2001 [in Polish].
• 11. B. Tomczyk, On the modelling of thin uniperiodic cylindrical shells, J. Theor. Appl. Mech., 41 (2003) 755 – 774.
• 12. C. Woźniak, B. Michalak, J. Jędrysiak (eds.), Thermomechanics of heterogeneous solids and structures, Łódź, Wyd. Politechniki Łódzkiej 2008.
• 13. C. Woźniak, et al. (eds.), Mathematical modelling and analysis in continuum mechanics of microstructured media, Gliwice, Wyd. Politechniki Śląskiej 2010.

Uwagi

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