The present research investigates the theory and numerical analysis of shells stiffened with beams in the framework based on the geometrically exact theories of shells and beams. Shell’s and beam’s kinematics are described by the Cosserat surface and the Cosserat rod, respectively, which are consistent including deformation and strain measures. A FEM approximation of the virtual work principle leads to the conforming shell and beam FE with 6 DoFs (including the drilling rotation for shells) in each node. Examples of static and stability linear analyses are included. Novel design formulas for the stability of stiffened shells are included.

中文翻译：

---

关于Cosserat型加劲壳的有限元分析：静态和稳定性线性分析

本研究基于壳和梁的几何精确理论，研究了框架中用梁加固的壳的理论和数值分析。壳和梁的运动学分别由Cosserat表面和Cosserat杆描述，它们是一致的，包括变形和应变测量。虚拟工作原理的FEM近似导致在每个节点中具有6个自由度（包括壳体的钻孔旋转）的一致的壳体和梁FE。包括静态和稳定性线性分析的示例。包括用于加固壳体稳定性的新颖设计公式。