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 Sun2, ∗
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.
Keywords
Cite This Article
Yu, Y., Chen, L., Zheng, S., Zeng, B., Sun, W. (2020). Closed Solution for Initial Post-Buckling Behavior Analysis of a Composite Beam with Shear Deformation Effect.
CMES-Computer Modeling in Engineering & Sciences, 123(1), 185–200.