A Galerkin-based meshfree flat shell formulation is chosen to study natural frequency and eigenmode of thin-walled folded structures. Reproducing kernel is used as the interpolation function. Stabilized conforming nodal integration is employed for numerical integration of the weak form. Additionally, sub-domain stabilized conforming integration is adopted for the folded region to integrate the stiffness matrix accurately. The first order shear deformation theory is utilized considering in-plane deformation, out-of-plane deformation and drilling components. The singular kernel function is introduced to effectively handle the folded geometry. An advanced free vibration simulation can be achieved. Accuracy and effectiveness of the meshfree modeling are demonstrated through the numerical examples.

中文翻译：

---

采用基于 Galerkin 的 RKPM 和稳定节点积分方法对薄壁折叠结构进行自由振动分析

选择基于伽辽金的无网格平壳公式来研究薄壁折叠结构的固有频率和本征模态。使用再现核作为插值函数。采用稳定一致节点积分来进行弱形式的数值积分。此外，折叠区域采用子域稳定顺应积分，对刚度矩阵进行精确积分。采用一阶剪切变形理论，考虑面内变形、面外变形和钻井组件。引入奇异核函数来有效处理折叠几何形状。可以实现先进的自由振动模拟。通过数值算例证明了无网格建模的准确性和有效性。