Please use this identifier to cite or link to this item: http://cybertesis.uni.edu.pe/handle/uni/3549
Title: Free vibration and buckling of laminated beams via hybrid Ritz solution for various penalized boundary conditions
Authors: Mantari, J. L.
Canales, F. G.
Keywords: Beam;Composite;Vibration;Buckling;Analytical;Penalty
Issue Date: May-2016
Publisher: Elsevier Ltd
Related URI: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969509084&doi=10.1016%2fj.compstruct.2016.05.037&partnerID=40&md5=380b8415ad30c3f57be315ae3f3c2d40
Abstract: This paper presents an analytical solution for the buckling and free vibration analysis of laminated beams by using a refined and generalized shear deformation theory which includes the thickness expansion. The eigenvalue equation is derived by employing the Rayleigh quotient, and the Ritz method is used to approximate the displacement field. The functions used in the Ritz method are chosen as either a pure polynomial series or a hybrid polynomial-trigonometric series. The hybrid series are used due to the superior convergence and accuracy compared to conventional pure polynomial series for certain boundary conditions. The boundary conditions are taken into account using the penalty method. Convergence of the results is analyzed, and numerical results of the present theory is compared with other theories for validation. Nondimensional natural frequencies and critical buckling loads are obtained for a variety of stacking sequences. The effect of the normal deformation on the fundamental frequencies and critical buckling loads is also analyzed.
URI: http://cybertesis.uni.edu.pe/handle/uni/3549
ISSN: 2638223
E-mail: jmantari@utec.edu.pe
Rights: info:eu-repo/semantics/embargoedAccess
Appears in Collections:Instituto General de Investigación (IGI)



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