An efficient methodology is proposed to find optimal shape of arch dams on the basis of constrained natural frequencies. The optimization is carried out by virtual sub population (VSP) evolutionary algorithm employing real values of design variables. In order to reduce the computational cost of the optimization process, the arch dam natural frequencies are predicted by properly trained back pro...

The curvature function method for two-dimensional shape optimization under stress constraints is developed. This method uses curvatures along the boundary curve as the design variables. First it is shown that local curvature has a monotonic relation to stress. Based on this, a zero-order search direction can be defined to search for the optimum curvature function which achieves a fully stressed...

This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and their corresponding boundary conditions for both the time accurate and non-linear frequency domain methods. First, this paper presents the complete formulation of the time dependent optimal design problem. Second, we present the time accur...