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王成立¹，李雙蓓²
(1 廣西華藍(lán)設(shè)計(jì)集團(tuán)有限公司，南寧530011; 2 廣西大學(xué)土木建筑工程學(xué)院，南寧530004)

[摘要] 針對(duì)現(xiàn)有桿系結(jié)構(gòu)考慮初始缺陷的方法存在不同程度的缺點(diǎn)和不足，在普通梁?jiǎn)卧幸雰煞N合理的初始幾何缺陷函數(shù)，導(dǎo)出兩種改進(jìn)的考慮初始幾何缺陷的非線性梁?jiǎn)卧?，同時(shí)考慮了二階效應(yīng)及初始幾何缺陷的影響，在此基礎(chǔ)上利用MATLAB編寫(xiě)了有限元程序。通過(guò)算例分析表明本文改進(jìn)的幾何缺陷非線性梁?jiǎn)卧矢?，可操作性?qiáng)。
[關(guān)鍵字] 非線性梁?jiǎn)卧怀跏紟缀稳毕?；缺陷函?shù)；二階效應(yīng)

Two improved nonlinear beam elements considering initial geometry imperfechon
Wang Chengli¹, Li ShuangbeI²
(1GuanGXi Hualan Design & consulting Group, Nanning 530011, China; 2 Department of Civil Engineering Guangxi University, Nanning 530004, China)

Abstract: According to the shortcoming of the analysis method in lattice structures that consider intial defect, two reasonable initial geometry defect functions are added in beam element as well as two improved nonlinear beam elements which considering initial geometry defect is derived. The two analysis methods have taken into account the effect of second-order effect and initial geometry defect. Then compile finite element programs with Matlab. The numerical results show that the improved nonlinear beam elements not only high-efficiency but also easily handing.
Keywords: nonlinearity beam element;  intial geometry defection;  defect function:  second-order effect