Abstract:This study proposed a topology optimization method of adaptive EFG method based on the node density, in response to the problems of huge number of variables and low efficiency in the topology optimization of the meshless method. The adaptive EFG topology optimization model was established with minimizing the compliance of the structure from using nodal density for design variables in the topology optimization. The adaptive node refinement criteria, the node refinement scheme and the added nodes variables updating rule were detailedly described. Numerical examples prove that the proposed method can extremity reduce the number of the design variables, and improve the efficiency of optimization.