A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

Vo, Thuc P.; Thai, Huu‐Tai; Nguyen, Trung-Kien; Inam, Fawad; Lee, Jae Hong

doi:10.1016/j.compstruct.2014.08.006

Cited by 158 publications

(68 citation statements)

References 22 publications

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“…Table 10: Nondimensional critical buckling load (N cr ) of C-C FG sandwich beams (L/h=5, type A). [24] (c) C-F [24] (e) C-C …”

Section: Discussionmentioning

confidence: 99%

An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory

Nguyen

et al. 2016

Composite Structures

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Citation: Nguyen, Trung-Kien, Vo, Thuc, Nguyen, Ba-Duy and Lee, Jaehong (2016) An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory. Composite Structures, Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.)An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory AbstractThis paper presents a Ritz-type analytical solution for buckling and free vibration analysis of functionally graded (FG) sandwich beams with various boundary conditions using a quasi-3D beam theory.It accounts a hyperbolic distribution of both axial and transverse displacements. Equations of motion are derived from Lagrange's equations. Two types of FG sandwich beams namely FG-faces ceramic-core (type A) and FG-core homogeneous-faces (type B) are considered. Numerical results are compared with earlier works and investigated effects of the power-law index, thickness ratio of layers, span-to-depth ratio and boundary conditions on the critical buckling loads and natural frequencies.

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“…Table 10: Nondimensional critical buckling load (N cr ) of C-C FG sandwich beams (L/h=5, type A). [24] (c) C-F [24] (e) C-C …”

Section: Discussionmentioning

confidence: 99%

An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory

Nguyen

et al. 2016

Composite Structures

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“…Due to the excellent properties in mechanical and thermal behaviours, a wide range of application for functionally graded (FG) structures can be found in different fields, leading to the intensive study in many types of FG structures in the last three decades. Chebyshev collocation method, finite element method and differential quadrature method [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. For analytical approaches, a Navier solution has been widely used to study various mechanical behaviours of simply supported beams [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads

Trinh

Vo²,

Thai

et al. 2016

Composites Part B: Engineering

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An analytical method for vibration and buckling behaviours of Functionally Graded (FG) beams with various boundary conditions under mechanical and thermal loads is presented. Based on linear straindisplacement relations, equations of motion and essential boundary conditions are derived from Hamilton's principle. In order to account for thermal effects, three cases of the temperature rise through the thickness, which are uniform, linear and nonlinear, are considered. The exact solutions are derived using the state space approach. Numerical results are presented to investigate the effects of boundary conditions, temperature distributions, material parameters and slenderness ratios on the critical temperatures, critical buckling loads, and natural frequencies as well as load-frequencies curves, temperature-frequencies curves of FG beams under thermal/mechanical loads. The accuracy and effectiveness of proposed model are verified by comparison with previous research.

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“…Weight saving requirements in engineering practice and various industry fields has resulted in widespread use of thin-walled beam-type structures in their stand-alone forms or as stiffeners in shell-or plate-like structures [1][2][3][4]. But such structures, especially those composed of open thin-walled profiles, exhibit very complex behaviour due to their susceptibility to instability occurrence and complex flexural-torsional characteristics.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Flexure, Torsion and Buckling of Thin-Walled Frames with a Focus on the Joint Warping Behaviour

Kvaternik

Turkalj

Lanc

2018

TFAMENA

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SummaryThis paper presents a finite element analysis of flexural-torsional and buckling behaviour of a thin-walled frame with a special focus on the joint warping behaviour. Four different joint types and two different cross-sections are analysed in order to investigate the influence of warping transmission on the overall behaviour of the structure. External loads are assumed to be static and conservative. The material is assumed to be homogenous, isotropic and linear elastic. The analysis is performed using the MSC Nastran shell model consisting of parabolic shell elements. The results obtained in the analysis together with some typical examples are discussed.

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A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

Cited by 158 publications

References 22 publications

An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory

An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory

An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads

Analysis of Flexure, Torsion and Buckling of Thin-Walled Frames with a Focus on the Joint Warping Behaviour

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