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Some Solutions for Anisotropic Heterogeneous Shells Based on Classical Model

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Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

Results for stationary deformation of anisotropic inhomogeneous shells of various classes are presented by using classical Kirchhoff-Love theory and the numerical approaches outlined in Chap.  2 of this book. The stress-strain problems for shallow, noncircular cylindrical shells and shells of revolution are solved. Various types of boundary conditions and loadings are considered. Distributions of stress and displacement fields in shells of the aforementioned type are analyzed for various geometrical and mechanical parameters. The practically important stress problem of a high-pressure glass-reinforced balloon is solved. Dynamical characteristics of an inhomogeneous orthotropic plate under various boundary conditions are studied. The problem of free vibrations of a circumferential inhomogeneous truncated conical shell is solved. The effect of variation in thicknesses, mechanical parameters, and boundary conditions on the behavior of natural frequencies and vibration modes of a plate and cone is analyzed. Much attention is given to the validation of the reliability of the results obtained by numerical calculations.

Stress-strain state Free vibrations Anisotropy Heterogeneity Rectangular plates Shallow Spherical Conical and noncircular shells 

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© The Author(s) 2016

Authors and Affiliations

  1. 1.S.P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKievUkraine
  2. 2.Institut für MechanikTechnische Universität BerlinBerlinGermany
  3. 3.Technical CenterNational Academy of Sciences of UkraineKievUkraine

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