Systems and methods for conformal additive manufacturing
Systems and methods for conformal additive manufacturing are disclosed. In particular, systems and methods are disclosed utilizing variable offset curves and/or a manipulated solution to Laplace's equation to generate layers between an initial boundary and a desired boundary.
1. A method for additive manufacturing of an object comprising:
defining, by a controller, an initial three dimensional boundary of the object;
defining, by the controller, a desired three dimensional boundary for a desired object,
the desired three dimensional boundary having a different shape than the initial three dimensional boundary, and
the initial three dimensional boundary being fully contained inside the desired three dimensional boundary;
calculating, by the controller and based on the desired three dimensional boundary having a different shape than the initial three dimensional boundary:
a plurality of curves that extend between the initial three dimensional boundary and the desired three dimensional boundary, and
spacing between each curve of the plurality of curves;
instructing, by the controller, one or more of a print head or an object articulation mechanism to be directed to a first set of positions in a three dimensional space and a first set of orientations to deposit a first layer of material conformally around the initial three dimensional boundary,
the print head being normal to a first curve of the plurality of curves, corresponding to the initial three dimensional boundary when depositing the first layer of material conformally around the initial three dimensional boundary;
instructing, by the controller, one or more of the print head or the object articulation mechanism to be directed to a second set of positions in the three dimensional space and a second set of orientations to deposit one or more second layers of the material conformally around the first layer of the material,
the print head being normal to one or more second curves of the plurality of curves, when depositing the one or more second layers of the material conformally around the first layer of the material; and
instructing, by the controller, one or more of the print head or the object articulation mechanism to be directed to a third set of positions in the three dimensional space and a third set of orientations to deposit a third layer of the material conformally around an outermost layer of the one or more second layers of the material to form the desired object,
the print head being normal to a third curve, of the plurality of curves, corresponding to the outermost layer of the one or more second layers of the material when depositing the third layer of the material corresponding to the desired three dimensional boundary.
2. The method of claim 1 , wherein each of the plurality of curves define a variable offset curve of the initial three dimensional boundary and the desired three dimensional boundary.
3. The method of claim 1 , wherein the initial three dimensional boundary includes a convex or a desired compatible object.
4. The method of claim 1 , wherein the initial three dimensional boundary is an initial curve and the desired three dimensional boundary is a final curve.
5. The method of claim 1 , wherein the initial three dimensional boundary is an initial surface and the desired three dimensional boundary is a final surface.
6. The method of claim 1 , wherein calculating the plurality of curves that extend between the initial three dimensional boundary and the desired three dimensional boundary comprises:
calculating tangent vectors for each point on the initial three dimensional boundary;
deriving normal vectors from the tangent vectors for each point on the initial three dimensional boundary; and
determining an intersection between the normal vectors and the desired three dimensional boundary.
7. The method of claim 2 , wherein each variable offset curve of the plurality of curves is defined as a bijective mapping of points on the initial three dimensional boundary to the desired three dimensional boundary.
8. The method of claim 1 , wherein at least one void is created between the initial three dimensional boundary and the desired three dimensional boundary via the one or more second layers of the material.
9. The method of claim 1 , wherein each of the plurality of curves are defined by potential field lines reparameterized by arc length between the initial three dimensional boundary and the desired three dimensional boundary calculated using a manipulated solution to Laplace's equation.
10. The method of claim 1 , wherein a potential defined by the initial three dimensional boundary is a positive value and a potential defined by the desired three dimensional boundary is zero.
11. The method of claim 1 , wherein calculating the plurality of curves that extend between the initial three dimensional boundary and the desired three dimensional boundary comprises:
defining a harmonic function describing a potential between the initial three dimensional boundary and the desired three dimensional boundary;
calculating a gradient of the harmonic function to determine a potential field between the initial three dimensional boundary and the desired three dimensional boundary; and
integrating to determine potential field lines between the initial three dimensional boundary and the desired three dimensional boundary.
12. A system for additive manufacturing of an object comprising:
a print head configured to deposit material onto the object;
a controller configured to:
define an initial three dimensional boundary of the object;
define a desired three dimensional boundary for a desired object,
the desired three dimensional boundary having a different shape than the initial three dimensional boundary, and
the initial three dimensional boundary being fully contained inside the desired three dimensional boundary;
calculate, based on the desired three dimensional boundary having a different shape than the initial three dimensional boundary:
a plurality of curves that extend between the initial three dimensional boundary and the desired three dimensional boundary, and
spacing between each curve of the plurality of curves;
instruct the print head to be directed to a first set of positions in a three dimensional space and a first set of orientations to deposit a first layer of the material conformally around the initial three dimensional boundary,
the print head being normal to a first curve, of the plurality of curves, corresponding to the initial three dimensional boundary when depositing the first layer of material conformally around the initial three dimensional boundary;
instruct the print head to be directed to a second set of positions in the three dimensional space and a second set of orientations to deposit one or more second layers of the material conformally around the first layer of the material,
the print head being normal to one or more second curves of the plurality of curves, when depositing the one or more second layers of the material conformally around the first layer of the material; and
instruct the print head to be directed to a third set of positions in the three dimensional space and a third set of orientations to deposit a third layer of the material conformally around an outermost layer of the one or more second layers of the material to form the desired object,
the print head being normal to a third curve, of the plurality of curves, corresponding to the outermost layer of the one or more second layers of the material when depositing the third layer of the material corresponding to the desired three dimensional boundary.
13. The system of claim 12 , wherein each of the plurality of curves define a variable offset curve of the initial three dimensional boundary and the desired three dimensional boundary.
14. The system of claim 12 , wherein each of the plurality of curves are defined by potential field lines reparameterized by arc length between the initial three dimensional boundary and the desired three dimensional boundary calculated using a manipulated solution to Laplace's equation.
15. The system of claim 12 , wherein at least one void is created between the initial three dimensional boundary and the desired three dimensional boundary via the one or more second layers of the material.
16. The system of claim 15 , wherein the at least one void is fully enclosed between the initial three dimensional boundary and the desired three dimensional boundary.
17. The system of claim 15 , wherein the at least one void influences structural properties of the object.
18. The system of claim 15 , wherein the at least one void influences failure modes of the object.
19. The method of claim 1 , wherein instructing the one or more of the print head or the object articulation mechanism to deposit the first layer of the material conformally around the initial three dimensional boundary comprises:
instructing the one or more of the print head or the object articulation mechanism to deposit the first layer of the material onto the object conformally around the initial three dimensional boundary.
20. The method of claim 1 , further comprising:
printing the object based on instructing the one or more of the print head or the object articulation mechanism to deposit the first layer of the material, the one or more second layers of the material, and the third layer of the material conformally around the initial three dimensional boundary.
21. The method of claim 1 , wherein instructing the one or more of the print head or the object articulation mechanism to be directed to the first set of orientations, the second set of orientations, and/or the third set of orientations comprises:
instructing the one or more of the print head or the object articulation mechanism to move via three rotational degrees of freedom.