Elastic buckling of elliptical tubes subjected to generalised linearly varying stress distributions
Elastic buckling of elliptical tubes subjected to generalised linearly varying stress distributions
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DOI：
10.1016/j.tws.2012.04.016
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发表时间：
2012-09
影响因子：
6.4
通讯作者：
J. Abela;L. Gardner
中科院分区：
文献类型：
--
作者：
J. Abela;L. Gardner
椭圆形空心截面的结构性能已在以前的研究中进行了检查，在几种载荷条件下，包括纯压缩，纯弯曲和单轴弯曲和压缩组合。本文研究了椭圆形空心截面在任何线性变化的面内载荷条件下的弹性屈曲响应，包括最一般的组合压缩和双向弯曲的情况。推导了一种预测弹性屈曲应力的解析方法，并与有限元结果进行了对比验证。预测模型首先根据所施加的应力分布和截面几何形状确定局部屈曲的起始位置。然后，将与此点对应的临界曲率半径引入经典的圆壳弹性局部屈曲应力计算公式。所得到的分析结果进行比较，通过有限元分析产生的结果。弹性屈曲应力的分析和数值预测之间的比较显示，差异小于2.5%的薄壳和剪切的影响，小于7.5%的厚壳的近似容差。
The structural behaviour of elliptical hollow sections has been examined in previous studies under several loading conditions, including pure compression, pure bending and combined uniaxial bending and compression. This paper examines the elastic buckling response of elliptical hollow sections under any linearly varying in-plane loading conditions, including the most general case of combined compression and biaxial bending. An analytical method to predict the elastic buckling stress has been derived and validated against finite element results. The predictive model first identifies the location of the initiation of local buckling based on the applied stress distribution and the section geometry. The critical radius of curvature corresponding to this point is then introduced into the classical formula for predicting the elastic local buckling stress of a circular shell. The obtained analytical results are compared with results generated by means of finite element analysis. The comparisons between the analytical and numerical predictions of elastic buckling stress reveal disparities of less than 2.5% for thin shells and, following an approximate allowance for the influence of shear, less than 7.5% for thick shells.