A modified elliptic integral method and its application in three-dimensional honeycombs
作者： Ming-Hui Fu , Bin-Bin Zheng , Wei-Hua Li
DOI: 10.1016/J.AST.2017.08.002
关键词: Mathematics 、 Mathematical analysis 、 Computer simulation 、 Shearing (physics) 、 Nonlinear system 、 Elliptic integral 、 Timoshenko beam theory 、 Shearing deformation 、 Geometry 、 Geometrically nonlinear 、 Newton's method
摘要: Abstract In this paper, a modified elliptic integral method for the geometrically nonlinear analysis of Timoshenko beam is developed. Based on constructed by Sinclair, proposed also considers axial, shearing and bending deformations beam, which makes up deficiency Sinclair's without considering deformation at fixed-end. three-dimensional honeycombs, can be used to describe unit cell as equations, closed equations obtained solved Newton iteration method. The numerical examples three-point experiment indicate that, compared with method, results are in good agreement those simulation experiment, especially larger ratio height length. Therefore, developed paper has higher accuracy wider range application honeycombs.
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