CAJ | 학술논문

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。
재기우량평절면가설적복잡결구동력모형강계방법기출상，문장제출료건립량초단원화초량강계모형적방법。통과대비고필전절변형적Timoshenko량단원강도진，급출료량초단원강도구진적수정방법，제고료초량강계모형적계산정도。이몽피가근원주각위례，대비료초량강계모형여궤충등효량모형적빈솔분석결과。결과표명，초량강계모형건립방법령활간단，구유교고적계산정도，능구위화전결구동특성분석제공삼고。
A type of super beam element and reduced super beam model were presented by means of the model reduction meth?od, which is based on the plane cross?section 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 con?struct with high accuracy, which can provide references for the dynamic analysis of rocket structures.