充气梁的有限元分析

采用包括Timoshenko动力学、有限转动和小应变的虚功原理定义充气梁弯曲和屈曲的离散非线性计算公式。随后推导出预应力参考构型的线性计算公式,从而得出新的充气梁有限元分析方法。刚度矩阵包括剪切系数和内压力。采用三节点梁单元建模分析悬臂梁的弯曲和屈曲、带箍环面的变形以及承受放射状压力的环面屈曲。采用这种梁元计算的结果与采用三维膜单元有限元计算结果很相近。结合充气梁的冲撞力或者蠕变压力概念,讨论了数值计算结果的有效性。

Finite Element Formulation forInflatable Beams

The discretized nonlinear equations for bending anbuckling of inflatable beams are written by use of the virtuwork principle with Timoshenko's kinematics, finite rota-tions and small strains. The linearized equations around apre-stressed reference configuration are then deduced, giv-ing rise to a new inflatable beam finite element. The stiff-ness matrix contains the shear coefficient and the internalpressure. Use is made of the particular 3-node beam ele-ment to investigate the bending and the buckling of a...