Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method

Year 2017, Volume: 13 Issue: 4, 933 - 942, 29.12.2017

Armağan Karamanlı

https://doi.org/10.18466/cbayarfbe.321889

Abstract

This paper is
dedicated to present static behaviour of Reddy-Bickford laminated composite and
sandwich beams subjected to various sets of boundary conditions which are
simply supported (SS), clamped-simply supported (CS), clamped-clamped (CC) and
clamped-free (CF) by using Ritz method. An analytical solution based on
polynomial series including auixiliary functions which are used to satisfy the
boundary conditions is developed to solve the studied problem. The polynomial
shape functions for axial, transverse deflections and the rotation of the
cross-section are presented. The validation and convergence studies are
performed by solving symmetric and anti-symmetric cross-ply composite beam
problems with various boundary conditions and aspect ratios. The numerical
results in terms of mid-span deflections, axial and shear stresses are obtained
to make comparison with previous studies and to investigate the accuracy of the
present study. The effects of fiber angle, lay-up and aspect ratio on
displacements and stresses are studied. The static response of the various
laminated composite sandwich structures which have symmetric lay-up based on
the various boundary conditions, fiber angles and thickness ratios is also
studied. It is found that the polynomial series with auxiliary functions can be
used for the static analysis of the composite and sandwich beams via Ritz
method. 

Keywords

Composite; Sandwich Beam; Static Analysis; Ritz Method; Reddy-Bickford Beam Theory

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