Finite Element Analysis of Thin Membrane Wrinkling

• Main Authors: Hsiao Heng Huang, 黃孝衡
• Other Authors: Kuo Mo Hsiao
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/51403911368555532739

碩士 === 國立交通大學 === 機械工程系所 === 96 === The formation of wrinkling deformation for thin membrane is simulated by using the co-rotational finite element formulation and shell element. The shell element employed here is the flat three-node triangular shell element proposed by Bathe and Ho’s [19]. An incremental-iterative method based on the Newton-Raphson method and constant arc length method is used for solving nonlinear equilibrium equations with displacement loading. In order to initiate the out-of-plane buckled deformation for planar membranes subjected to purely in-plane displacement loading at the bifurcation point, a perturbation displacement proportional to the first buckling mode is added to the equilibrium configuration, and then equilibrium iteration is carried out until a new equilibrium state is achieved. Wrinkling of a planar membrane under uniform shear displacement loading along the edge of the membrane is analyzed here. The present results are compared with experimental data and numerical results in the literature. Good agreement between the present numerical results and experimental data is observed.