期刊名称：Journal of Asian Architecture and Building Engineering
印刷版ISSN：1346-7581
电子版ISSN：1347-2852
出版年度：2014
卷号：13
期号：3
页码：649-656
DOI：10.3130/jaabe.13.649
语种：English
出版社：日本建築学会、大韓建築学会、中国建築学会
摘要：This paper presents a finite element procedure for the large deflection analysis of functionally graded (FG) beams resting on a two-parameter elastic foundation. The material properties of the FG beams are assumed to vary continuously in the thickness direction by a power-law distribution. Based on the strain energy expression, a shear deformable beam element, taking the effect of the material non-homogeneity and the foundation support into account, is formulated and employed in the analysis. An incremental/iterative procedure in combination with the arc-length control method is used for solving nonlinear equilibrium equations. The numerical results show that the convergence of the formulated element is fast, and the large displacements of the beams can be accurately assessed by using a few numbers of the elements. A parametric study is carried out to highlight the effect of the material non-homogeneity and the foundation support on the large deflection behavior of the beams. The influence of the aspect ratio on the large deflection response of the beam is also examined and highlighted.
关键词：functionally graded beam;elastic foundation;large deflection analysis;finite element method
