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

作　　者：Yongping Yu Lihui Chen Shaopeng Zheng Baihui Zeng Weipeng Sun 

机构地区：[1]College of Construction Engineering,Jilin University,Changchun,130021,China [2]School of Mathematics,Jilin University,Changchun,130012,China

出　　处：《Computer Modeling in Engineering & Sciences》2020年第4期185-200,共16页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant No.41972323 and 51991364);Science and Technology Project of the 13th Five-Year Plan of Jilin Provincial Department of Education(Grant No.JJKH20190126KJ);the Science and Technology Developing Plan Project of Jilin Province(Grant No.20160520021JH).

摘　　要：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.

关 键 词：Analytical solution POST-BUCKLING sandwich beam harmonic method 

分 类 号：O17[理学—数学]