Open Access

ARTICLE

Closed Solution for Initial Post-Buckling Behavior Analysis of a Composite Beam with Shear Deformation Effect

Yongping Yu¹, Lihui Chen¹, Shaopeng Zheng¹, Baihui Zeng¹, Weipeng Sun^{2, ∗}

1 College of Construction Engineering, Jilin University, Changchun, 130021, China.
2 School of Mathematics, Jilin University, Changchun, 130012, China.

∗ Corresponding Author: Weipeng Sun. Email: .

Computer Modeling in Engineering & Sciences 2020, 123(1), 185-200. https://doi.org/10.32604/cmes.2020.07997

Received 18 July 2019; Accepted 21 January 2020; Issue published 01 April 2020

Abstract

This paper is focused on the post-buckling behavior of the fixed laminated composite beams with effects of axial compression force and the shear deformation. The analytical solutions are established for the original control equations (that is not simplified) by applying the Maclaurin series expansion, Chebyshev polynomials, the harmonic balance method and the Newton’s method. The validity of the present method is verified via comparing the analytical approximate solutions with the numerical ones which are obtained by the shooting method. The present third analytical approximate solutions can give excellent agreement with the numerical solutions for a wide range of the deformation amplitudes. What’s more, the effect of shear deformation on the post-bucking configuration of the sandwich beam is also proposed. It can be found that the shear angle has a great influence on the post-buckling load of composite beams. Therefore, the model simplifying the shear formation term as small quantity is not accurate for the case of sandwich beam with soft core.

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Keywords

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