Simulated Annealing Algorithm Based On Complex-shaped Network Structure Optimization

Grid structure is one of the fastest growing, most widely used forms of all kinds of spatial structures. By optimized the grid structure, it can reduces the maximum weight and investment of the structure, has good social and economic benefits, in condition of ensuring the structural safety.Complex Method is a direct and fast way to search the optimal solution, but when the objectives function with multiple local optimal solutions, it may not be able to get the global optimal solution, but only a local optimal solution. Simulated annealing algorithm is a random search method, it can escape the trap of local optimal solution, and ultimately to get the global optimal solution. But at the same time it made a lot of useless work in course of searching, wastes time, and has less efficient. Therefore, this article integrate the complex method and simulated annealing algorithm organically, give full play to the advantages of both, so as to improve the algorithm's convergence rate and the quality of solution, which constitute a new type of algorithms named as complex -simulated annealing algorithm. A large number of numerical simulation and the results verify the stability and superiority of the algorithm.In accordance with the grid structure's optimization goals and it own characteristics, the grid's mathematical model for structural optimization was established. Programming the main procedures with MATLAB language based on the use of complex - simulated annealing algorithm to optimize the grid structure. Calculating the rod's internal forces with space truss displacement method, which implemented by FORTRAN program in MATLAB. To achieve that we can set an interface within the MATLAB language and FORTRAN applications. The results of optimization simulation verify that the method used to optimize grid structure is feasible and effective. Optimization results show that the optimization can be used as a recommended result for the actual engineering design and provide a theoretical basis.