Large displacement behaviour of tapered cantilever Euler–Bernoulli beams made of functionally graded material

作者：

Highlights：

• Derived a nonlinear beam element for large displacement analysis.

• Tapered Euler–Bernoulli beams made of functionally graded material can be analysed.

• Material property varies in the thickness direction according to a power-law distribution.

• Numerical examples show fast convergence and accurate results with a few elements.

• Influence of material inhomogeneity, taper ratio and taper type is numerically studied and highlighted.

摘要

•Derived a nonlinear beam element for large displacement analysis.•Tapered Euler–Bernoulli beams made of functionally graded material can be analysed.•Material property varies in the thickness direction according to a power-law distribution.•Numerical examples show fast convergence and accurate results with a few elements.•Influence of material inhomogeneity, taper ratio and taper type is numerically studied and highlighted.

论文关键词：Functionally graded material,Power-law distribution,Tapered beam,Finite element method,Large displacement

论文评审过程：Available online 19 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.104