Combined asymptotic-tolerance modelling of dynamic problems for functionally graded shells. (1st January 2018)

• Record Type: Journal Article
• Authors: Tomczyk, Barbara; Szczerba, Paweł
• Is Part Of: Composite structures. Volume 183(2018)
• Page Start: 176
• Page End: 184
• Publication Date: 2018-01-01
• Subjects: Thin functionally graded shells -- Tolerance-periodic microstructure -- Combined asymptotic-tolerance modelling -- Micro-vibrations -- Long wave propagation; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2017.02.021
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: The objects of consideration are thin linearly elastic Kirchhoff-Love-type open circular cylindrical shells having a functionally graded macrostructure and a tolerance-periodic microstructure in circumferential direction. The aim of this contribution is to formulate and discuss a new mathematical averaged model for the analysis of selected dynamic problems for these shells. This, so-called, combined asymptotic-tolerance model is derived by applying the combined modelling technique which includes both the asymptotic and tolerance non-asymptotic procedures. Contrary to the starting exact shell equations with highly oscillating, non-continuous and tolerance-periodic coefficients, governing equations of the proposed combined model have continuous and slowly varying coefficients depending also on a cell size. Hence, this model can be applied to study the effect of a microstructure size on dynamic behaviour of the shells ( the length-scale effect ). An important advantage of this model is that it makes it possible to analyse micro-dynamics of tolerance-periodic shells independently of their macro-dynamics .