Title: Comparison of various refined beam theories for the bending and free vibration analysis of thick beams
Authors: Sayyad, Atteshamuddin Shamshuddin
Citation: Applied and Computational Mechanics. 2011, vol. 5, no. 2, p. 217-230.
Issue Date: 2011
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/index.php/acm/article/view/161/129
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: silný nosník;smyková deformace;virtuální práce;analýza ohybu;příčná smyková napětí;přirozené frekvence;faktor dynamické smykové korekce
Keywords in different language: thick beam;shear deformation;virtual work;bending analysis;transverse shear stresses;natural frequency;dynamic shear correction factor
Abstract: In this paper, unified shear deformation theory is used to analyze simply supported thick isotropic beams for the transverse displacement, axial bending stress, transverse shear stress and natural frequencies. This theory enables the selection of different in-plane displacement components to represent shear deformation effect. The numbers of unknowns are same as that of first order shear deformation theory. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The results of displacement, stresses, natural bending and thickness shear mode frequencies for simply supported thick isotropic beams are presented and discussed critically with those of exact solution and other higher order theories. The study shows that, while the transverse displacement and the axial stress are best predicted by the models 1 through 5 whereas models 1 and 2 are overpredicts the transverse shear stress. The model 4 predicts the exact dynamic shear correction factor (π2/12 = 0.822) whereas model 1 overpredicts the same.
Rights: © 2011 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 5, number 2 (2011)
Volume 5, number 2 (2011)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/1337

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