Trigonometric-series solution for analysis of laminated composite beams

Nguyen, Thanh Thuy; Nguyen, Ngoc-Duong; Vo, Thuc P.; Thai, Huu‐Tai

doi:10.1016/j.compstruct.2016.10.033

Cited by 55 publications

(39 citation statements)

References 38 publications

(54 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Moreover, it is known that Ritz method is efficient to deal with composite and FG beams with arbitrary boundary conditions. The accuracy and efficiency of this approach can be found in some representative earlier works [24,26,[40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Nguyen

et al. 2017

Composite Structures

Self Cite

View full text Add to dashboard Cite

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.)Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams AbstractThe hygro-thermal effects on vibration and buckling analysis of functionally graded beams are presented in this paper. The present work is based on a higher-order shear deformation theory which accounts for a hyperbolic distribution of transverse shear stress and higher-order variation of in-plane and out-of-plane displacements. Equations of motion are obtained from Lagrange's equations. Ritz solution method is used to solve problems with different boundary conditions. Numerical results for natural frequencies and critical buckling temperatures of functionally graded beams are compared with those obtained from previous works. Effects of power-law index, span-to-depth ratio, transverse normal strain, temperature and moisture changes on the results are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Nguyen

et al. 2017

Composite Structures

Self Cite

View full text Add to dashboard Cite

show abstract

“…To understand the mechanical behavior of these structures, researchers have been developed various beam theories in recent years, the review of these theories can be found in [1]. There are a number of beam theories which have presented the kinematics of deformation.…”

Section: Introductionmentioning

confidence: 99%

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

Karamanlı¹

2017

Celal Bayar Üniversitesi Fen Bilimleri Dergisi

View full text Add to dashboard Cite

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 crosssection are presented. The validation and convergence studies are performed by solving symmetric and antisymmetric 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.

show abstract

“…Due to the attractive properties in strength, stiffness and lightness, various beam theories have been developed to understand the mechanical behavior of these structures during the last decade. In [1], the review of these theories can be found.…”

Section: Introductionmentioning

confidence: 99%

“…In [1], the trigonometric series solutions are presented for the static, buckling and free vibration responses of laminated composite beams. The vibration analysis of cross-ply laminated beams subjected to different sets of boundary conditions based on a three-degree-of-freedom shear deformable beam theory via Ritz method is presented in [37].…”

Section: Introductionmentioning

confidence: 99%

Bending analysis of composite and sandwich beams using Ritz method

Karamanlı¹

2018

ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY a - Applied Sciences and Engineering

View full text Add to dashboard Cite

In the present paper, the bending behaviour of 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 clampedfree (CF) are investigated by using the Timoshenko beam theory and the Ritz method. In order to solve the problem, the shape functions for axial, transverse deflections and the rotation of the cross-section are presented in polynomial forms. 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 by adding auxiliary functions to the shape functions. The results in terms of mid-span deflections, axial and shear stresses are compared with those from previous studies to validate the accuracy of the present study. The effects of fiber angle, lay-up and aspect ratio on displacements and stresses are studied.

show abstract

Trigonometric-series solution for analysis of laminated composite beams

Cited by 55 publications

References 38 publications

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

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

Bending analysis of composite and sandwich beams using Ritz method

Contact Info

Product

Resources

About