Optimization of stiffened panels considering geometric nonlinearity

In this study, an optimality criterion is presented for thickness optimization of plate structures with geometric nonlinearity. The optimization problem considers the thickness of each element of the finite element mesh as a design variable and aims to maximize the load-carrying capacity of the structure subject to constant total volume. The result of the thickness optimization of a nonstiffened panel is then used for locating the potential places to add the stiffeners. It is shown that the load-carrying capacity of the original panel may be improved significantly while having the same volume of material. Application of the method is illustrated by numerical examples. 1.