In recent years,with the continuous improvement of people’s requirements for architectural aesthetics,free-form curved surface modeling has gradually replaced the traditional regular curved surface with monotonous form by virtue of its novel form and unique shape,and has been applied in various landmark buildings by architectural designers.Due to the complexity and variety of free-form surface space grid structure,it is an urgent problem to be solved in the design of free-form surface structure how to create a free-form surface with flexible and free appearance and reasonable structure stress.At the same time,in order to ensure the smooth and beautiful grid structure and the economic and efficient construction,the optimization of the uniformity of the grid elements and the overall form has become a key problem.In view of these two problems,this paper has obtained a preliminary solution through exploration and research,and obtained certain research results.The premise of free-form surface morphology optimization and mesh optimization is to complete the corresponding free-form geometry creation.In this paper,NURBS(non-uniform rational B spline)technique is used as the core technique of geometric configuration,which can accurately describe arbitrary geometric configuration and conform to the concept of parametric design.In view of the free surface shape optimization problem,this paper analyzes the solution of problems of conventional optimization design,extract the four key steps: to establish the objective function,selecting design variables,constraint conditions and determine the optimal algorithm is put forward,and combined with the goal of optimization design,architectural form in each step more optional parameters are given.Through comparison and analysis,it is determined that the minimum strain energy of the whole structure is the objective function,the control point or the type value point is the design variable,the surface boundary and the bearing position are controlled,the free-form surface is optimized by using the intelligent optimization algorithm,and the program of this method is realized.In the design of free-form surface space grid structure,it is difficult to obtain the required mesh shape by the general finite element method due to the complexity of the surface shape,so further optimization of the mesh is needed.In this paper,with the aim of minimizing the variance of grid member length,the position of grid nodes is adjusted by the iterative calculation of genetic algorithm,and the method is realized by programming,so that the overall quality of the optimized grid can be improved obviously.Based on the design of free-form surface space grid structure,this paper studies the problem of free-form surface shape optimization and grid optimization by using the intelligent optimization algorithm,which is a research hotspot in the computer field. |