Algorithmic reasoning about a cutting tool assembly's space of feasible configurations can be effectively harnessed to construct a sequence of motions that guarantees a collision-free path for the tool assembly to remove each support structure in the sequence. A greedy algorithm models the motion of the cutting tool assembly through the free-spaces around the intermediate shapes of the part as the free-spaces iteratively reduce in size to the near-net shape to determine feasible points of contact for the cutting tool assembly. Each support beam is evaluated for a contact feature along the boundary of the near-net shape that constitutes a feasible point of contact. If a support beam has at least one feasible configuration at each point, the support beam is deemed ‘accessible’ and a collection of tool assembly configurations that are guaranteed to be non-colliding but which can access all points of contact of each accessible support beam can be generated.

Algorithmic reasoning about a cutting tool assembly's space of feasible configurations can be effectively harnessed to construct a sequence of motions that guarantees a collision-free path for the tool assembly to remove each support structure in the sequence. A greedy algorithm models the motion of the cutting tool assembly through the free-spaces around the intermediate shapes of the part as the free-spaces iteratively reduce in size to the near-net shape to determine feasible points of contact for the cutting tool assembly. Each support beam is evaluated for a contact feature along the boundary of the near-net shape that constitutes a feasible point of contact. If a support beam has at least one feasible configuration at each point, the support beam is deemed accessible and a collection of tool assembly configurations that are guaranteed to be non-colliding but which can access all points of contact of each accessible support beam can be generated.

The exemplified methods and systems facilitate manufacturing of a new class of mechanical, loading-bearing components having optimized stress/strain three-dimensional meta-structure structures (also referred to herein as Meshagons) as finite-element-based 3D volumetric mesh structures. The resulting three-dimensional meta-structure structures provide high strength, ultra-light connectivity, with programmable interlinkage properties (e.g., density/porosity of linkages).

In one embodiment of the present invention, a print orientation tool efficiently determines an orientation of a three-dimensional (3D) model such that, when 3D printed, the structural integrity of the resulting 3D object is optimized. In operation, the print orientation tool configures a stress analysis engine to slice the 3D model into two-dimensional (2D) cross-sections. The stress analysis engine then compute structural stresses associated with the 2D cross-sections. The print orientation tool translates the structural stresses to weakness metrics. Subsequently, the print orientation tool evaluates the orientations of the cross-sections in conjunction with the corresponding weakness metrics to select a printing orientation that minimizes weaknesses in the 3D model. Advantageously, by aligning the 3D model to the print bed based on the optimized printing orientation, the user mitigates weaknesses in the corresponding 3D object attributable to the 3D printing manufacturing process.

Methods involving adding a removable fixating material to a partially manufactured workpiece to stabilize a plurality of partially formed objects therein for subsequent manufacturing. In one example, a workpiece of interconnected structures is manufactured comprising precursors to the discrete objects as a function of a workpiece computer model. Manufacturing the workpiece further includes forming valleys between adjacent partially formed objects so that interconnecting portions remain to interconnect the partially formed objects. Further, the methods include removing the interconnecting portions so as to liberate the plurality of objects from one another. In some embodiments, a temporary frame is formed from the workpiece along with the plurality of objects during manufacturing.

The exemplified methods and systems facilitate manufacturing of a new class of mechanical, loading-bearing components having optimized stress/strain three-dimensional meta-structure structures (also referred to herein as Meshagons) as finite-element-based 3D volumetric mesh structures. The resulting three-dimensional meta-structure structures provide high strength, ultra-light connectivity, with programmable interlinkage properties (e.g., density/porosity of linkages).

Methods involving adding a removable fixating material to a partially manufactured workpiece to stabilize a plurality of partially formed objects therein for subsequent manufacturing. In one example, valleys are formed in a workpiece between adjacent partially formed objects so that interconnecting portions remain to interconnect the partially formed objects. Then, the removable fixating material is installed in the valleys, and once the removable fixating material has hardened, the workpiece is further processed to at least remove the interconnecting portions. In some embodiments, a mold is used to install the removable fixating material into the workpiece. In some embodiments, a prefabricated temporary frame is used for installing the removable fixating material into the workpiece. In some embodiments, a temporary frame is formed from the workpiece along with the plurality of objects during manufacturing.

Algorithmic reasoning about a cutting tool assembly's space of feasible configurations can be effectively harnessed to construct a sequence of motions that guarantees a collision-free path for the tool assembly to remove each support structure in the sequence. A greedy algorithm models the motion of the cutting tool assembly through the free-spaces around the intermediate shapes of the part as the free-spaces iteratively reduce in size to the near-net shape to determine feasible points of contact for the cutting tool assembly. Each support beam is evaluated for a contact feature along the boundary of the near-net shape that constitutes a feasible point of contact. If a support beam has at least one feasible configuration at each point, the support beam is deemed accessible and a collection of tool assembly configurations that are guaranteed to be non-colliding but which can access all points of contact of each accessible support beam can be generated.

A method (1) for optimizing a production process for a component (20, 32) that is to be manufactured by additive manufacturing by means of simulation (2) of the production process (50) includes: a) ascertaining a position of the component (20, 32) in a production space that has been optimized according to a process optimization criterion (7); b) calculating displacements and/or stresses in the component (20, 32) that can be caused by the production process (50); c) ascertaining supporting structures (31) that counteract the displacements and/or stresses that have been optimized according to the process optimization criterion (7); and d) ascertaining at least a portion of the design of the component (20, 32) that has been optimized according to a component optimization criterion (8).

In one embodiment of the present invention, a stress analysis engine efficiently computes stresses for an arbitrarily shaped three-dimension (3D) model. In operation, the stress analysis engine slices the 3D model into layers of cross-sections. The stress analysis engine then groups the cross-sections into virtual cross-sections. For each virtual cross-section, the stress analysis engine applies bending moment equilibrium-based equations to determine a corresponding structural stress for the 3D model. The efficiency of this stress analysis process enables real-time feedback of stresses to an interactive design tool that facilitates a trial-and-error design process. Using this trial-and-error process reduces the guesswork and/or over-engineering associated with conventional approaches based on finite element methods that are typically too slow for interactive feedback. Consequently, the disclosed cross-sectional stress analysis techniques enable efficient design of 3D models that produce structural robust 3D objects when manufactured by a 3D printer.