曲线箱梁静动力特性的有限段元分析

Analysis of finite beam element for static and dynamic characteristics of curved box beams

以能量原理为基础 ,考虑剪力滞后效应和翘曲扭转 (包括二次翘曲剪切 )的影响及转动惯量对质量矩阵的贡献 ,提出了一种用于分析单室或多室曲线薄壁箱梁桥静力及动力学特性的曲梁单元法 ,推导了单元刚度矩阵、质量矩阵和节点荷载列阵。作为验证 ,在算例中对一曲线薄壁箱梁模型的静力及动力特性 (包括正应力、竖向位移、自由振动特性、结构对移动荷载及地震荷载的响应 )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 ,证明了本文方法是有效的。

Based on the energy principle, this paper presents a finite curved beam element method for analyzing the static and dynamic behaviors of curved thin walled box beam bridge. In the procedure to formulate the stiffness matrix and mass matrix, the shear lag, warping torsion and rotational inertia effects are taken into account. Finally, for an application example, the free vibration characteristics and responses of the normal stress and the vertical displacement to static load,moving load and earthquake load are analyzed. The comparison of numerical results among this paper, finite shell element method and model test prove the validity of present approach.