In this paper, optimal airfoil shapes are found through manipulation of the velocity distribution by a genetic algorithm. The airfoil geometries are generated by an inverse method from velocity distribution parameters, and a viscous-flow analysis code is used to determine proper fitness values for candidate airfoils based on preset performance criteria. The method is compared with the more trad...

In this paper, we would like to sketch a picture aimed at giving a comprehensive answer to the question: how does one go about reconstructing a manifold M from the spectrum of its Laplace operator ? It is understood that, in general, there is no unique way of reconstructing M, because a manifold is not in general uniquely determined from its spectrum. So let us make the following deenition: Dee...

The problem of determining the inputs to the rotary axes of a 5–axis CNC machine is addressed, such that relative variations of orientation between the tool axis and surface normal are minimized subject to the constraint of maintaining a constant cutting speed with a ball-end tool. In the context of an orientable–spindle machine, the results of a prior study are directly applicable to the solut...

In the present work, the performance of the particle swarm optimization and the genetic algorithm compared as a typical geometry design problem. The design maximizes the heat transfer rate from a given fin volume. The analysis presumes that a linear temperature distribution along the fin. The fin profile generated using the B-spline curves and controlled by the change of control point coordinat...

Abstract The production of injection moulded components with low shrinkage and warpage is a constant challenge for manufacturers. thermal design the mould plays an important role achievable quality, especially placement cooling channels. This usually based on empirical knowledge designers. construction supported iteratively by moulding simulations. In case thick-walled plastic optics big wall t...

To investigate the parameters of the protein design problem that we are exploring in collaboration with biochemists, we have developed a tool that uses inverse kinematics to support moving small fragments of protein backbone, while respecting biochemists’ desires to “remain in favorable regions of the Ramachandran plot” and “preserve ideal geometry”. By presenting estimates of derivatives in re...