Abstract: A method of operating a computer aided design (CAD) system model for modelling an article to be manufactured includes receiving a representation of the article, receiving constraints for the article, determining a maximum permissible curvature of one or more parts of the article, measuring the maximum curvature of the one or more parts of the article in the received representation and comparing the measured maximum curvature with the maximum permissible curvature. If the measured maximum curvature of at least one of the one or more parts exceeds the determined maximum permissible curvature, an error indication is provided. If the measured maximum curvature of each of the one or more parts does not exceed the determined maximum permissible curvature, the received representation for the article is stored.

Abstract: A method of optimizing an additive manufacturing (AM) process includes receiving at least one design parameter of the AM process, receiving information relating to uncertainty in at least one other parameter of the AM process, performing uncertainty quantification in the optimization processor based on the at least one design parameters and uncertainty information to identify a shape error in an object being produced, updating the at least one design parameter of the AM process and utilizing the updated at least one design parameter in the AM process. A system for optimizing an AM process includes a design processor to produce at least one design parameter for an object to be manufactured, and an optimization processor to receive the at least one design parameter and uncertainty information to identify a shape error in the object to be manufactured and update the design parameters based on the shape error, prior or during the manufacturing process.

Abstract: A method of operating a computer aided design (CAD) system model for modelling an article to be manufactured includes receiving a representation of the article, receiving constraints for the article, determining a maximum permissible curvature of one or more parts of the article, measuring the maximum curvature of the one or more parts of the article in the received representation and comparing the measured maximum curvature with the maximum permissible curvature. If the measured maximum curvature of at least one of the one or more parts exceeds the determined maximum permissible curvature, an error indication is provided. If the measured maximum curvature of each of the one or more parts does not exceed the determined maximum permissible curvature, the received representation for the article is stored.

Abstract: A method of operating a computer aided design system model for an article to be designed or manufactured, the method performed on a data processing system; the method includes in a CAD system model capable of representing an article as either algebraic geometry or facet geometry, receiving a mesh geometry representing a surface of the article in 3 dimensions. Constraints to be applied to the mesh geometry are received and the mesh geometry is solved as an exact surface. An updated model of the mesh geometry is stored.

Abstract: A method of deriving an offset profile of a parametric curve includes generating an offset parametric curve corresponding to a received profile of the product represented as a parametric curve based on user input. If no self-intersections in a created spline approximation of the generated offset parametric curve are present, the process is terminated and the offset parametric curve is output as the offset profile of the parametric curve. If self-intersection is present for the spline approximation, the spline curve is split at one or more self-intersections and removed from the spline approximation of the offset parametric curve to form a modified spline approximation. Computing the self-intersections in the modified spline approximation is repeated until no self-intersection is present. The modified spline approximation of the offset parametric curve is then output as the offset profile of the parametric curve.

Abstract: Methods for optimizing energy savings and reducing cycle time for mutating an industrial robotic path when a collision is detected. A method includes initializing a plurality of clone paths where a collision was detected, wherein a clone path is a clone of the initial path and the initial path comprises a source location, a plurality of intermediate locations, and a target location; for each clone path, determining a candidate path to store in a population, determining an optimal breed comprising the candidate path with an optimal rating, wherein the optimal rating is determined by the lowest breed rating in the population, and returning the optimal breed.