The hybrid method of finding the natural frequency spectrum for quasi-fractal plate bands

• Autorzy: Wirowski A.

Identyfikatory

DOI

10.17512/jamcm.2015.4.16

• Języki publikacji: EN

Abstrakty

EN

The work deals with the issues of modelling of multiscale composites. A group of composite structures with a quasi-fractal geometry has been defined. In order to model their dynamic properties, a simple engineering method has been proposed. It takes into account not only the parameters and proportions of the components of the composite, but also their mutual arrangement. The proposed method is demonstrated on several examples and its accuracy has been compared with the finite element method and the homogenization method.

Słowa kluczowe

EN

composite plate; quasi-fractal plates; tolerance averaging technique; hybrid methods; vibrations

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 4
• Strony: 153--165
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Wirowski A.

• Department of Structural Mechanics, Lodz University of Technology Łódź, Poland

Bibliografia

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• [3] Vincent J.F.V., Bogatyreva O.A., Bogatyrev N.R., Bowyer A., Pahl A.-K., Biomimetics - Its practice and theory, Journal of the Royal Society Interface 2006, 3(9), 471-482. doi:10.1098/rsif.2006.0127.
• [4] Lévy-Véhel J., Lutton E. (eds.), Fractals in Engineering - New Trends in Theory and Applications, Springer, 2005.
• [5] Lyons A., Materials for Architects and Builders, 4th Edition, Routledge, 2010.
• [6] Woźniak C., Wierzbicki E., Averaging Techniques in Thermomechanics of Composite Solids, Wydawnictwo Politechniki Częstochowskiej, Częstochowa 2000.
• [7] Michalak B., Analysis of dynamic behavior of wavy-plates with a mezzo-periodic structure, Journal of Theoretical and Applied Mechanics 2001, 39, 4, 947-958.
• [8] Wirowski A., Self-vibration of thin plate band with non-linear functionally graded material, Archives of Mechanics 2012, 64, 6, 603-615.
• [9] Ostrowski P., Michalak B., Non-stationary heat transfer in a hollow cylinder with functionally graded material properties, Journal of Theoretical and Applied Mechanics 2011, 49, 2, 385-397.
• [10] Jędrysiak J., The length-scale effect in the buckling of thin periodic plates resting on a periodic Winkler foundation, Meccanica 2003, 38(4), 435-451.