Optimization of Lattice Composite Plates Under Uniformly Distributed Pressure Load Using Genetic Algorithms

Lattices of rigidly connected ribs, known as grid structures, have many advantages over traditional construction methods, with applications in panels, sandwich cores and aerospace frameworks. Optimizing structures means to consider technical issues including maximum stiffness and minimum weight. In the present work, a theoretical model was introduced for static analysis and behavior of lattice composite plates under a uniformly distributed pressure load. In order to predict the static structural behaviors, this model was developed based on the classical lamination theory. The governing equation and boundary condition were obtained and the variable coefficient equation was solved by performing closed form Galerkin method. In this paper, an optimization procedure is proposed to minimize the weight and deflection of lattice composite plates subjected to a distributed pressure load. Genetic Algorithm (GA) is used to search the optimal design. Validity of the results is checked by making comparison with finite element method using ABAQUS commercial software