Tolerance modeling of dynamic behavior of thin plates with dense system of ribs in two directions

• Autorzy: Michalak B. , Rabenda M.

Identyfikatory

DOI

10.1016/j.acme.2016.09.001

• Języki publikacji: EN

Abstrakty

EN

The subject of this paper are thin composite rectangular plate. The plates are made of two families of ribs and homogeneous material of a matrix. The main feature of the considered plates is, that a distance between the ribs is comparable to the thickness of the plate. The widths of the ribs can vary slowly in the midplane of the plate. This allows you to get a desirable frequency of natural vibrations of the plate. The formulation of averaged model equations is based on the tolerance averaging approach (Wozniak et al. 2008, 2010). The general results of the contribution are illustrated using the analysis of natural vibrations of the plates under consideration. It will be carried out validation of the obtained mathematical model by comparison of results from obtained model equations with results from finite elements method (Abaqus program).

Słowa kluczowe

EN

composite plate; finite element method; tolerance averaging technique; vibrations

PL

płyta kompozytowa; metoda elementów skończonych; wibracje

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 17, no. 2
• Strony: 222--230
• Opis fizyczny: Bibliogr. 12 poz., rys., tab., wykr.

Twórcy

autor

Michalak B.

• Department of Structural Mechanics, Lodz University of Technology, Al. Politechniki 6, Łódź 90-92, Poland

autor

Rabenda M.

• Department of Structural Mechanics, Lodz University of Technology, Al. Politechniki 6, Łódź 90-92, Poland

Bibliografia

• [1] M. Rabenda, B. Michalak, Natural vibrations of prestressed thin functionally graded plates with dense system of ribs in two directions, Composite Structures 13 (2015).
• [2] C.Z. Woźniak, B. Michalak, J. Jędrysiak (Eds.), Thermomechanics of Heterogeneous Solids and Structures, Wydawnictwo Politechniki Łódzkiej, Łódź, 2008.
• [3] Cz. Woźniak, et al. (Eds.), Mathematical Modeling and Analysis in Continuum Mechanics of Microstructured Media, Wydawnictwo Politechniki Śląskiej, Gliwice, 2010.
• [4] E. Baron, On modelling of periodic plates with inhomogeneity period of an order of the plate thickness, Journal of Theoretical and Applied Mechanics 44 (2006) 3–18.
• [5] J. Jędrysiak, Higher order vibrations of thin periodic plates, Thin-Walled Structures 47 (2009) 890–901.
• [6] B. Michalak, Vibrations of plates with initial geometrical periodical imperfections interacting with a periodic elastic foundation, Archive of Applied Mechanics 70 (2000) 508–518.
• [7] M. Wągrowska, Cz. Woźniak, On the modelling of dynamic problems for visco-elastic composites, International Journal of Engineering Science 35 (1996) 923–932.
• [8] E. Wierzbicki, Cz. Woźniak, On the dynamic behaviour of honeycomb based composite solids, Acta Mechanica 141 (2000) 161–172.
• [9] J. Jędrysiak, On the tolerance modelling of thermoelasticity problems for transversally graded laminates, Archives of Civil and Mechanical Engineering 11 (2011) 61–74.
• [10] B. Michalak, A. Wirowski, Dynamic modeling of thin plate made of certain functionally graded materials, Meccanica 47 (2012) 1487–1498.
• [11] B. Michalak, 2D tolerance and asymptotic models in elastodynamics of a thin-walled structure with dense system of ribs, Archives of Civil and Mechanical Engineering (2014), http://dx.doi.org/10.1016/j.acme.2014.05.011.
• [12] A. Wirowski, Self-vibration of thin plate band with non-linear functionally graded material, Archives of Mechanics 64 (2012) 603–615.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)