This paper aimed at modeling a fine triangular grid for network dome by using Harmony Search (HS) algorithm. For this purpose, an optimization process to find a fine regular triangular mesh on the curved surface was proposed and the analysis program was developed. An objective function was consist of areas and edge's length of each triangular and its standard deviations, and design variables were subject to the upper and lower boundary which was calculated on the nodal connectivity. Triangular network dome model, which was initially consist of randomly irregular triangular mesh, was selected for the target example and the numerical result was analyzed in accordance with the HS parameters. From the analysis results of adopted model, the fitness function has been converged and the optimized triangular grid could be obtained from the initially distorted network dome example.

In the past spatial structures have been significantly developing in the architectural field. Most of all, the single layer grid dome has become very popular, having not only with aesthetic advantages, but also the economic benefit of saving material. Especially, a generation of triangular mesh for the curved surface is one of the important things. Therefore, in this paper, a generation technique to get a equilateral triangle surface of single layer dome is deal with. To solve the problem, the objective function is consist of the standard deviation of triangular element and differential evolution method is adopted to fine a fine triangular gird.