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

Armağan Karamanlı [1]

151 266

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.

Composite; Sandwich Beam; Static Analysis; Ritz Method; Reddy-Bickford Beam Theory
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Subjects Engineering Articles Author: Armağan KaramanlıCountry: Turkey
 Bibtex @research article { cbayarfbe321889, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {Celal Bayar University}, year = {2017}, volume = {13}, pages = {933 - 942}, doi = {10.18466/cbayarfbe.321889}, title = {Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method}, key = {cite}, author = {Karamanlı, Armağan} } APA Karamanlı, A . (2017). Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method. Celal Bayar University Journal of Science, 13 (4), 933-942. DOI: 10.18466/cbayarfbe.321889 MLA Karamanlı, A . "Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method". Celal Bayar University Journal of Science 13 (2017): 933-942 Chicago Karamanlı, A . "Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method". Celal Bayar University Journal of Science 13 (2017): 933-942 RIS TY - JOUR T1 - Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method AU - Armağan Karamanlı Y1 - 2017 PY - 2017 N1 - doi: 10.18466/cbayarfbe.321889 DO - 10.18466/cbayarfbe.321889 T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 933 EP - 942 VL - 13 IS - 4 SN - 1305-130X-1305-1385 M3 - doi: 10.18466/cbayarfbe.321889 UR - https://doi.org/10.18466/cbayarfbe.321889 Y2 - 2017 ER - EndNote %0 Celal Bayar University Journal of Science Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method %A Armağan Karamanlı %T Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method %D 2017 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 13 %N 4 %R doi: 10.18466/cbayarfbe.321889 %U 10.18466/cbayarfbe.321889 ISNAD Karamanlı, Armağan . "Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method". Celal Bayar University Journal of Science 13 / 4 (December 2017): 933-942. https://doi.org/10.18466/cbayarfbe.321889