Optimization of two dimensional structures, using minimum growth ground method with floating nodes

Optimization techniques based on basic structure and the minimum growth ground method and stationary nodes, are among useful and effective methods in finding optimal discrete structures. But the slow optimization process of the base structure method for two-dimensional Large-scale structures and the large number of basic structural elements, waste a lot of time to solve problems. The fixed nodes of the truss in minimum growth ground method with fixed nodes, which in some cases makes structures to find a local optimum. In this article we have tried to provide a new method, optimization of cross section and truss topology are in a way that the aforementioned problems are solved as far as possible and for this purpose the algorithm of growth ground method with floating nodes are suggested. In this method, instead of starting with the base structure with the most possible members of the structure, we start with a structure with minimum members and the basic structure grows until it satisfies the conditions and all nodes are added to the structure in a floating mode. Then, in this paper several standard example are used which are coded using MATLAB software and the obtained results in the form of growth ground  method  with floating nodes using optimization algorithm of particle swarm is compared to other methods. The results show that growth ground method with floating nodes has a very high Convergence rate compared to growth ground method and more Absolute optimization compared to the minimum growth ground method with fixed nodes.