Curvilinear duct fabricated with additive manufacturing

Patent metadata

Field	Value
Publication number	US-10041612-B1
Application number	US-201715459630-A
Country	US
Kind code	B1
Filing date	Mar 15, 2017
Priority date	Mar 15, 2017
Publication date	Aug 7, 2018
Grant date	Aug 7, 2018

Abstract

Curvilinear ducts manufactured by depositing one or more runs of material in a conjoined helix, a conjoined plurality of conjoined planar spirals, and a plurality of conjoined conical spirals.

First claim

What is claimed is:

1. A duct with a duct axis {right arrow over (d)}(t) described by the vector function:
{right arrow over (d)} ( t )=< a ( t ), b ( t ), c ( t )>,
the duct comprising:
a run of material having a longitudinal axis {right arrow over (r)}(s) described by the vector function:
{right arrow over (r)} ( s )=< f ( s ), g ( s ), h ( s )>

that forms a helix around the duct axis {right arrow over (d)}(t);
wherein the helix is a rectangular-with rounded-corners helix;
wherein the duct axis {right arrow over (d)}(t) is characterized by a curvature κ(t) and a center of curvature {right arrow over (p)}(t) described by the vector function:
{right arrow over (p)} ( t )=<α( t ),β( t ),γ( t )>;

wherein the curvature κ(t)>0;
wherein the run of material is characterized by a conjoining axis j(t) at {right arrow over (r)}(s) such that j(t)∝∥{right arrow over (r)}(s)−{right arrow over (p)}(t)∥; and
wherein t is a real number in the domain t: [t 1 , t 2 ] and s is a real number in the domain s: [s 1 , s 2 ].

2. The article of claim 1 wherein the run of material has an isolating axis i(t) at {right arrow over (r)}(s) such that i(t)∝∥{right arrow over (r)}(s)−{right arrow over (p)}(t)∥.

3. The article of claim 1 wherein the run of material has an isolating axis i(t) at {right arrow over (r)}(s) that is constant.

4. The article of claim 1 wherein the evolute of {right arrow over (d)}(t) is a non-planar space curve over the interval [t 1 , t 2 ].

5. The article of claim 1 wherein the run of material is chopped-fiber reinforced thermoplastic.

6. A duct with a duct axis {right arrow over (d)}(t) described by the vector function:
{right arrow over (d)} ( t )=< a ( t ), b ( t ), c ( t )>,
the duct comprising:
a run of material having a longitudinal axis {right arrow over (r)}(s,k) described by the vector function:
{right arrow over (r)} ( s,k )=< f ( s,k ), g ( s,k ), h ( s,k )>

that forms a first conical spiral around the duct axis {right arrow over (d)}(t);
wherein the duct axis {right arrow over (d)}(t) is characterized by a curvature κ(t) and a center of curvature {right arrow over (p)}(t) described by the vector function:
{right arrow over (p)} ( t )=<α( t ),β( t ),γ( t )>;

wherein the curvature κ(t)>0;
wherein the run of material is characterized by a conjoining axis j(t) at {right arrow over (r)}(s,k) such that j(t)∝∥{right arrow over (r)}(s,k)−{right arrow over (p)}(t)∥; and
wherein t is a real number in the domain t: [t 1 , t 2 ], s is a real number in the domain s: [s 1 , s 2 ], and k is an integer.

7. The article of claim 6 wherein the run of material has an isolating axis i(t) at {right arrow over (r)}(s,k) such that i(t)∝∥{right arrow over (r)}(s,k)−{right arrow over (p)}(t)∥.

8. The article of claim 6 wherein the run of material has an isolating axis i(t) at {right arrow over (r)}(s,k) that is constant.

9. The article of claim 6 wherein the evolute of {right arrow over (d)}(t) is a non-planar space curve over the interval [t 1 , t 2 ].

10. The article of claim 6 further comprising a second conical spiral around the duct axis {right arrow over (d)}(t), wherein the first conical spiral and the second conical spiral are conjoined.

11. The article of claim 1 wherein the conical spiral is a rectangular-with rounded-corners conical spiral.

Assignees

• Arevo Inc

Inventors

• Korobkov Andrei

Classifications

• B29C64/112

  using individual droplets, e.g. from jetting heads · CPC title

• H04N1/40

  Picture signal circuits (H04N1/387 takes precedence) · CPC title

• B29K2105/12

  of short lengths, e.g. chopped filaments, staple fibres or bristles · CPC title

• B29K2101/12

  Thermoplastic materials · CPC title

• B33Y80/00 Primary

  Products made by additive manufacturing · CPC title