考虑剪滞效应的薄壁曲梁有限单元法
FINITE ELEMENT METHOD CONSIDERING SHEAR LAG EFFECT FOR CURVED BOX BEAMS
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摘要: 本文以最小势能原理为基础,考虑剪力滞后效应和翘曲扭转(包括二次翘曲剪切)的影响提出了一种用于分析单室或多室曲线薄壁箱型梁桥力学特性的曲梁单元,推导了单元刚度矩阵、等效节点荷载列阵。作为验证,在算例中对一双室曲线薄壁箱型梁模型的静力特性进行了分析,并将本文数值结果与试验结果和板壳有限元方法所得结果进行比较后证明了本文方法是有效的。Abstract: Based on the principle of minimum potential energy, this paper presents a curved thin-walled box finite beam element method for curved thin-walled boxes. The shear lag and warping torsion effects are considered and a modified formula for bi-moment is proposed. To validate the present approach, an example of two-cell curved box beam is given. The numerical results of this paper agree well with the predictions of finite shell element method and experimental results.