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提出了一种求解波纹夹层板结构线性弯曲问题的无网格模型。将波纹夹层板看成两侧平板和中间波纹板核的复合结构,用正交各向异性板等效近似波纹板核。先基于一阶剪切变形理论,由无网格伽辽金法建立各板的刚度方程,再通过位移协调条件将各板刚度方程叠加,以得到整体刚度方程。采用全转换法处理位移边界。算例表明:该文所提出的无网格模型分析波纹夹层板具有效率高、精度高和易于实现等优点。
A meshless model for solving the linear bending of corrugated sandwich panels is proposed. The corrugated sandwich plate is regarded as the composite structure of the two side plates and the middle corrugated plate core, and the orthogonal corrugated plate nucleus is equivalently treated by the orthogonal anisotropic plate. Based on the first-order shear deformation theory, the stiffness equation of each plate is established by the element-free Galerkin method. Then the stiffness equations of the plates are superposed by the displacement coordination condition to obtain the overall stiffness equation. Use the full conversion method to deal with the displacement boundary. The example shows that the proposed meshless model analysis corrugated sandwich plate has the advantages of high efficiency, high precision and easy to implement.