Abstract: A method of generating an infill geometry of a body, comprises providing a driver mesh comprised of tetrahedral elements, and providing a reference unit cell mesh configured to fit exactly within a regular tetrahedron having triangular faces. The reference unit cell mesh is symmetric with respect to the arrangement of cell mesh nodes on the triangular faces. The method includes mapping the reference unit cell meshes respectively into the tetrahedral elements of the driver mesh, through the use of basis functions defined on each of the tetrahedral elements in a manner causing adjustment of the reference unit cell meshes to conform respectively to the tetrahedral elements, and resulting in an infill geometry comprised of mapped unit cell meshes. The method additionally includes stitching together the mapped unit cell meshes to result in a stitched mesh, and optionally smoothing the stitched mesh through one or more mesh smoothing operations.

Abstract: A method of generating a panel infill geometry of a sandwich panel, includes providing a driver mesh representing a panel mid-surface of a sandwich panel. The driver mesh is comprised of a plurality of quadrilateral elements. The method further includes providing a reference unit cell mesh configured to fit exactly within a cube. The reference unit cell mesh is comprised of a unit infill mesh interconnecting a pair of unit face sheet meshes. The method additionally includes mapping a plurality of the reference unit cell meshes respectively onto a plurality of hexahedral elements respectively associated with the plurality of quadrilateral elements, through the use of basis functions defined on each of the plurality of quadrilateral elements in a manner causing adjustment of the size and shape of the plurality of reference unit cell meshes to conform respectively to the plurality of hexahedral elements.

Abstract: A method for forming a blank of sheet material includes a step of forming a target shape from the blank. The target shape includes a plurality of component structures connected via a common addendum. Each one of the plurality of component structures has a component-shape and a component-boundary. The common addendum extends between the component-boundary of each one of plurality of component structures and connects the component-boundary of each one of the plurality of component structures with a perimeter of the blank. The method minimizes a projected area of the common addendum via adjustment of a position and/or orientation of each of the component structures, thereby reducing a total amount of sheet material required to form the component structures.

Abstract: A multi-stage incremental sheet forming system includes a forming tool, and at least one control unit in communication with the forming tool. The at least one control unit is configured to determine a convex hull of a target structure to be formed by the forming tool. The at least one control unit is further configured to operate the forming tool according to a first tool path in relation to an initial structure to form an intermediate structure having a shape based on the convex hull of the target structure. The at least one control unit is further configured to operate the forming tool according to a second tool path in relation to the intermediate structure to form one or more inward features into the intermediate structure to form the target structure.

Abstract: A system and method for forming a structure with steep walls (walls having an angle greater than 60° with respect to a level plane) through one or more incremental sheet forming operations is provided. The method includes a workpiece with an inner region and an outer region that are separated by a boundary region. The boundary region includes a plurality of openings and a plurality of connecting elements. The openings are cut into the workpiece using a boundary region cutting tool. A forming tool is configured to operate on the inner region after the boundary region cutting operation has been completed. At least one control unit is in communication with the forming tool. The at least one control unit operates the forming tool to form the structure from the inner region.

Abstract: A multi-stage incremental sheet forming system includes a forming tool, and at least one control unit in communication with the forming tool. The at least one control unit is configured to determine a convex hull of a target structure to be formed by the forming tool. The at least one control unit is further configured to operate the forming tool according to a first tool path in relation to an initial structure to form an intermediate structure having a shape based on the convex hull of the target structure. The at least one control unit is further configured to operate the forming tool according to a second tool path in relation to the intermediate structure to form one or more inward features into the intermediate structure to form the target structure.

Abstract: Systems and methods are provided for monitoring athletic performance data for a plurality of users and motivating increased athletic activity among users by providing challenges and suggestion for improving athletic performance. User athletic performance data and other information may be synchronized with an athletic monitoring service provider to associate various parameters of athletic performance with selected athletic activities in furtherance of determining and matching users with other challenge participants.

Abstract: There is provided a computer implemented method for generating slope synchronized tool paths for incremental sheet forming (ISF) of a contoured part. The method includes performing a slope synchronized tool path application execution with a computer and a slope synchronized tool path application. The slope synchronized tool path application execution includes defining equally spaced apart Z values, along a Z-axis, that intersect a surface of the contoured part; determining, for the Z values, a slope factor, to define an array of Z values and corresponding slope factor values; and setting a current Z coordinate, and iteratively, calculating a stepdown; decrementing a current Z coordinate by the calculated stepdown; and determining an intersection of the surface with a horizontal plane at the current Z coordinate, to produce a contour tool path loop. The method includes sending an output file to a numerically controlled ISF machine, to incrementally form the contoured part.

Abstract: Systems and methods are provided for monitoring athletic performance data for a plurality of users and motivating increased athletic activity among users by providing challenges and suggestion for improving athletic performance. User athletic performance data and other information may be associated with user communications using one or more identifiers and displayed to the user via an interface, including user leaderboards and other interface displays.

Abstract: Systems and methods are provided for monitoring athletic performance data for a plurality of users and motivating increased athletic activity among users by providing challenges and suggestion for improving athletic performance. User athletic performance data and other information may be synchronized with an athletic monitoring service provider to associate various parameters of athletic performance with selected athletic activities in furtherance of determining and matching users with other challenge participants.

Abstract: Provided are methods and systems of orienting parts for incremental sheet forming and, in some examples, forming the parts in these orientations. A forming orientation may be identified by simulating forming operations of the same part in multiple different orientations and identifying the thinnest portions of the part for each of the orientations. The orientation with the maximum thickness of these identified portions is selected as a forming orientation. The forming simulation may be based on the Sine law by comparing the actual and projected areas of different surface elements of the shape to be formed. As such, a part formed in the forming orientation will have the greatest minimum thickness among all other possible orientations.

Abstract: Provided are methods and systems of orienting parts for incremental sheet forming and, in some examples, forming the parts in these orientations. A forming orientation may be identified by simulating forming operations of the same part in multiple different orientations and identifying the thinnest portions of the part for each of the orientations. The orientation with the maximum thickness of these identified portions is selected as a forming orientation. The forming simulation may be based on the Sine law by comparing the actual and projected areas of different surface elements of the shape to be formed. As such, a part formed in the forming orientation will have the greatest minimum thickness among all other possible orientations.