2D tolerance and asymptotic models in elastodynamics of a thin-walled structure with dense system of ribs

• Autorzy: Michalak, B.
• Języki publikacji: EN

Abstrakty

EN

The object of analysis is a plane structure reinforced by a system of thin parallel-distributed ribs. It will be assumed that the number of the ribs is very large. The thickness of neighbouring ribs can smoothly change. The aim of contribution is to derive 2D-macroscopic mathematical models describing elastodynamic behaviour of the plate structure in plane-stress state. The consideration will be based on the tolerance averaging technique 0045 and 0050. The general results of the contribution will be illustrated by the analysis of the free vibrations of a structure under consideration.

Słowa kluczowe

PL

modelowanie; budowa maszyn; kompozyty lepkosprężyste

EN

thin-walled structure; modelling; elastodynamic; microheterogeneous structure

• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2015
• Tom: Vol. 15, no. 2
• Strony: 449--455
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Michalak, B.

• Department of Structural Mechanics, Lodz University of Technology, al. Politechniki 6, 93-590 Lodz, Poland,

Bibliografia

• [1] E. Baron, On dynamic behaviour of medium thickness plates with uniperiodic structure, Archive of Applied Mechanics 73 (2003) 505–516.
• [2] J. Jędrysiak, Free vibrations of thin periodic plates interacting with an elastic periodic foundation, International Journal of Mechanical Sciences 45 (2003) 1411–2142.
• [3] B. Michalak, Dynamic modeling thin skeletonal shallow shells as 2D structures with nonuniform microstructures, Archive of Applied Mechanics 82 (2012) 949–961.
• [4] B. Michalak, A. Wirowski, Dynamic modeling of thin plate made of certain functionally graded materials, Meccanica 47 (2012) 1487–1498.
• [5] W. Nagórko, Cz. Woźniak, Nonasymptotic modelling of thin plates reinforced by a system of stiffeners, Electronic Journal of Polish Agricultural Universities, Civil Engineering 5 (2002), www.ejpau.media.pl.
• [6] B. Tomczyk, Dynamic stability of micro-periodic cylindrical shells, Mechanics and Mechanical Engineering 14 (2010) 137–150.
• [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] Cz. Woźniak, et al. (Eds.), Mathematical Modeling and Analysis in Continuum Mechanics of Microstructured Media, Wydawnictwo Politechniki Śląskiej, Gliwice, 2010.
• [10] Cz. Woźniak, B. Michalak, J. Jędrysiak (Eds.), Thermomechanics of Heterogeneous Solids and Structures, Wydawnictwo Politechniki Łódzkiej, Łódź, 2008.

Identyfikatory

DOI

10.1016/j.acme.2014.05.011