中文摘要：

以弯曲梁为例，应用移动最小二乘法构造具有高阶连续特征的形函数，建立无网格数值计算框架。研究移动最小二乘法在传统弯曲梁和高阶连续弯曲梁数值模拟中的应用，并对施加边界条件等相关关键问题进行讨论。

英文摘要：

The shape function with the high-order continuum is constructed with the moving least-square method, and a mesh-free computational scheme is then established for the bending beams. The proposed method is used to inves-tigate the application of the moving least-square approximation in the numerical simulation of the classical bending beam and high-order continuum bending beam. Some key issues such as the imposition of the boundary conditions are studied and discussed.