In order to solve the problems of the local buckling effect and obvious structural response and buckling failure force caused by high concentrated load, a meshless numerical method is proposed to simulate the problem.

Based on discrete nodes in the problem domain, this method establishes a compact support function and uses the weighted residual method to establish a discrete equation of the system displacement field. Then uses the moving least square method to construct the shape function of the discrete nodes to finally obtain the approximation function of the displacement function. Finally, combined with the simplified buckling evaluation method, the eigenvalues of the buckling equation are effectively solved to reduce the order, and a more accurate buckling load factor is obtained.

The effectiveness of the proposed method is verified by the comparison between the proposed method and the traditional calculation method through the demonstration of an example. The calculation results of the proposed method also have a higher degree of agreement with the original structure.

By analyzing the characteristics of meshless numerical analysis of perforated plate beam, a new method is provided for the analysis of various shapes of honeycomb plate beam structure.