在基于梁平截面假设的复杂结构动力模型降阶方法基础上,文章提出了建立梁超单元和超梁降阶模型的方法。通过对比考虑剪切变形的Timoshenko梁单元刚度阵,给出了梁超单元刚度矩阵的修正方法,提高了超梁降阶模型的计算精度。以蒙皮加筋圆柱壳为例,对比了超梁降阶模型与几种等效梁模型的频率分析结果。结果表明,超梁降阶模型建立方法灵活简单,具有较高的计算精度,能够为火箭结构动特性分析提供参考。
A type of super beam element and reduced super beam model were presented by means of the model reduction method, which is based on the plane crosssection assumption of beam. The stiffness matrix of the super beam element was modified by considering the effect of shear deformation in an elegant way, resulting in a reduced super beam model with high accuracy. Typical stiffened cylindrical shell model, served as the illustrative example for frequency analysis, were employed to compare the reduced super beam model with several other equivalent beam models. The results show that the reduced super beam model is easy to construct with high accuracy, which can provide references for the dynamic analysis of rocket structures.