提出了一种研究折板及多面板类结构线弹性弯曲行为的样条核质点法。方法包括以下步骤:①将折板及多面板结构模拟成不同平面上平板的集合体;②使用一阶剪切变形理论和样条核质点法先形成各平板的刚度方程;③将通过修正的各板的刚度方程叠加得到整个结构的刚度方程。由于克服了网格的约束,本文方法可以避免结构问题域变形过大导致的网格扭曲。并通过几个算例将本文方法与使用壳单元的ANSYS有限元分析进行对比,发现两者的计算结果接近,验证了本文方法的准确性。
A spline strip kernel particle method(SSKPM) to study the elastic bending behaviour of folded and multi-panel plate structures is introduced.The method includes the following steps: ① A folded plate is simulated as an assembly of flat plates that lie in different planes;② Based on the first-order shear deformation theory(FSDT) and the SSKPM,the stiffness equations of the flat plates are established;③ The stiffness equation of the entire structure is derived by supposing the modified stiffness equations of the flat plates.Because the constraint from mesh is overcome,remeshing due to mesh disorder can be avoided in the proposed method.Several examples were employed to show the accuracy of the proposed method.The results given by the proposed method were found to be close to those from ANSYS FEM analysis using shell elements.