Helical trochoidal rotary machines with offset
Rotary positive displacement machines based on trochoidal geometry, that comprise a helical rotor that undergoes planetary motion within a helical stator are described. The rotor can have a hypotrochoidal cross-section, with the corresponding stator cavity profile being the outer envelope of the rotor as it undergoes planetary motion, or the stator cavity can have an epitrochoidal cross-section with the corresponding rotor profile being the inner envelope of the trochoid as it undergoes planetary motion. In some embodiments, the geometry is offset in a manner that provides structural and/or operational advantages in the rotary machine.
1. A rotary machine comprising a stator and a rotor disposed within the stator,
said stator having a stator axis and a stator helical profile wherein, at any cross-section transverse to said stator axis along at least a portion of a length of said stator, said stator has a stator shape that is outwardly offset from an epitrochoidal shape,
said rotor having a rotor axis and a rotor helical profile, wherein said rotor has a rotor shape at any cross-section transverse to said rotor axis, along at least a portion of a length of said rotor, that is an inner envelope formed when said stator shape undergoes planetary motion,
wherein said rotor is configured to undergo planetary motion within said stator.
2. The rotary machine of claim 1 wherein, at any cross-section transverse to said stator axis along at least a portion of a length of said stator, said stator shape that is outwardly offset from said epitrochoidal shape in a direction that is normal to said transverse cross-section.
3. The rotary machine of claim 1 wherein said stator has an inner surface, and wherein at any cross-section transverse to said stator axis along at least a portion of a length of said stator, said stator shape is outwardly offset in a direction that is normal to said inner surface of said stator.
4. The rotary machine of claim 1 wherein:
said stator shape has n−1lobes, where n is an integer;
said rotor shape has n lobes;
said rotor has a rotor pitch and a rotor lead, and said stator has a stator pitch and a stator lead;
said rotor pitch is the same as said stator pitch; and
a ratio of said rotor lead to said stator lead is n:(n−1).
5. The rotary machine of claim 4 wherein n=2, said rotor pitch is the same as said stator pitch, and ratio of said rotor lead to said stator lead is 2:1.
6. The rotary machine of claim 5 wherein the rotary machine is a multi-stage machine and a plurality of chambers are formed between cooperating surfaces of said rotor and said stator.
7. The rotary machine of claim 6 wherein each of said plurality of chambers has approximately the same volume.
8. A rotary machine comprising a stator and a rotor disposed within said stator,
said rotor having an outer surface, a rotor axis and a rotor helical profile, a rotor pitch and a rotor lead, wherein, at any cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor has a rotor shape that is inwardly offset from a hypotrochoidal shape,
said stator having a stator axis and a stator helical profile, a stator pitch and a stator lead, wherein said stator has a stator shape at any cross-section transverse to said stator axis along at least a portion of a length of said stator that is an outer envelope formed when said rotor shape undergoes planetary motion,
wherein said rotor is configured to undergo planetary motion within said stator,
wherein said hypotrochoidal shape is an ellipse, said rotor shape has 2 lobes, and said stator shape has 1 lobe, and wherein said rotor pitch is the same as said stator pitch, and a ratio of said rotor lead to said stator lead is 2:1, and
wherein said stator helical profile defines an at least one inwardly protruding helical thread, and said rotor helical profile defines an at least one outwardly protruding helical thread, and wherein said rotor shape is inwardly offset from said hypotrochoidal shape to a degree such that a minimum radius of curvature of said at least one outwardly protruding helical thread of said rotor in a plane normal to said at least one outwardly protruding helical thread, is substantially the same as a radius of curvature of said at least one inwardly protruding helical thread of said stator in a plane normal to said at least one inwardly protruding helical thread.
9. The rotary machine of claim 8 wherein, at any of said cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor shape is inwardly offset from said hypotrochoidal shape in a direction that is normal to said transverse cross-section to said rotor axis.
10. The rotary machine of claim 8 wherein, at any of said cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor shape is inwardly offset in a direction that is normal to said outer surface of said rotor.
11. The rotary machine of claim 8 wherein said rotary machine is a multi-stage machine and a plurality of chambers are formed between cooperating surfaces of said rotor and said stator.
12. The rotary machine of claim 11 wherein each of said plurality of chambers has approximately the same volume.
13. A rotary machine comprising a stator and a rotor disposed within said stator,
said rotor having an outer surface, a rotor axis and a rotor helical profile, a rotor pitch and a rotor lead, wherein, at any cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor has a rotor shape that is inwardly offset from a hypotrochoidal shape,
said stator having a stator axis and a stator helical profile, a stator pitch and a stator lead, wherein said stator has a stator shape at any cross-section transverse to said stator axis along at least a portion of a length of said stator that is an outer envelope formed when said rotor shape undergoes planetary motion,
wherein said rotor is configured to undergo planetary motion within said stator,
wherein said hypotrochoidal shape is an ellipse, said rotor shape has 2 lobes, and said stator shape has 1 lobe, and wherein said rotor pitch is the same as said stator pitch, and a ratio of said rotor lead to said stator lead is 2:1, and
wherein said stator helical profile defines an at least one inwardly protruding helical thread, and said rotor helical profile defines an at least one outwardly protruding helical thread, and wherein said rotor and stator each have a longitudinal axis, and wherein said rotor shape is inwardly offset from said hypotrochoidal shape to a degree such that a minimum radius of curvature of said at least one outwardly protruding helical thread of said rotor in a plane normal to said longitudinal axis of said rotor is substantially the same as a radius of curvature of said at least one inwardly protruding helical thread of said stator in a plane normal to said longitudinal axis of said stator.
14. The rotary machine of claim 13 wherein, at any of said cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor shape is inwardly offset from said hypotrochoidal shape in a direction that is normal to said transverse cross-section to said rotor axis.
15. The rotary machine of claim 13 wherein, at any of said cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor shape is inwardly offset in a direction that is normal to said outer surface of said rotor.
16. The rotary machine of claim 13 wherein said rotary machine is a multi-stage machine and a plurality of chambers are formed between cooperating surfaces of said rotor and said stator.
17. A rotary machine comprising a stator and a rotor disposed within said stator, said rotor having an outer surface, a rotor axis and a rotor helical profile, a rotor pitch and a rotor lead, wherein, at any cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor has a rotor shape that is inwardly offset from a hypotrochoidal shape,
said stator having a stator axis and a stator helical profile, a stator pitch and a stator lead, wherein said stator has a stator shape at any cross-section transverse to said stator axis along at least a portion of a length of said stator that is an outer envelope formed when said rotor shape undergoes planetary motion,
wherein said rotor is configured to undergo planetary motion within said stator, wherein said hypotrochoidal shape is an ellipse, said rotor shape has 2 lobes, and said stator shape has 1 lobe, and wherein said rotor pitch is the same as said stator pitch, and a ratio of said rotor lead to said stator lead is 2:1, and
wherein said stator helical profile defines an at least one inwardly protruding helical thread, and said rotor helical profile defines an at least one outwardly protruding helical thread, and wherein:
said rotor has a rotor sweep width across said at least one outwardly protruding helical thread in a plane normal to said helical thread of said rotor;
said stator has a stator sweep width across said at least one inwardly protruding helical thread in a plane normal to said helical thread of said stator; and
said rotor shape is inwardly offset from said hypotrochoidal shape to a degree such that said rotor sweep width is substantially the same as said stator sweep width.
18. A rotary machine comprising a stator and a rotor disposed within said stator,
said rotor having an outer surface, a rotor axis and a rotor helical profile, a rotor pitch and a rotor lead, wherein, at any cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor has a rotor shape that is inwardly offset from a hypotrochoidal shape,
said stator having a stator axis and a stator helical profile, a stator pitch and a stator lead, wherein said stator has a stator shape at any cross-section transverse to said stator axis along at least a portion of a length of said stator that is an outer envelope formed when said rotor shape undergoes planetary motion,
wherein said rotor is configured to undergo planetary motion within said stator,
wherein said hypotrochoidal shape is an ellipse, said rotor shape has 2 lobes, and said stator shape has 1 lobe, and wherein said rotor pitch is the same as said stator pitch, and a ratio of said rotor lead to said stator lead is 2:1 and
wherein said stator helical profile defines an at least one inwardly protruding helical thread, and said rotor helical profile defines at least one outwardly protruding helical thread, and wherein:
said rotor and stator each have a longitudinal axis;
said rotor has a rotor sweep width across said at least one outwardly protruding helical thread in a plane normal to said longitudinal axis of said rotor;
said stator has a stator sweep width across said at least one inwardly protruding helical thread in a plane normal to said longitudinal axis of said stator; and
said rotor shape is inwardly offset from said hypotrochoidal shape to a degree such that said rotor sweep width is substantially the same as said stator sweep width.
19. A rotary machine comprising a stator and a rotor disposed within said stator,
said rotor having an outer surface, a rotor axis and a rotor helical profile, a rotor pitch and a rotor lead, wherein, at any cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor has a rotor shape that is inwardly offset from a hypotrochoidal shape,
said stator having a stator axis and a stator helical profile, a stator pitch and a stator lead, wherein said stator has a stator shape at any cross-section transverse to said stator axis along at least a portion of a length of said stator that is an outer envelope formed when said rotor shape undergoes planetary motion,
wherein said rotor is configured to undergo planetary motion within said stator,
wherein said hypotrochoidal shape is an ellipse, said rotor shape has 2 lobes, and said stator shape has 1 lobe, and wherein said rotor pitch is the same as said stator pitch, and a ratio of said rotor lead to said stator lead is 2:1, and
wherein said stator helical profile defines an at least one inwardly protruding helical thread, and said rotor helical profile defines at least one outwardly protruding helical thread, and wherein:
said rotor has a rotor arc length around said at least one outwardly protruding helical thread in a plane normal to said helical thread;
said stator has a stator arc length around said at least one inwardly protruding helical thread in a plane normal to said helical thread; and
said rotor shape is inwardly offset from said hypotrochoidal shape to a degree such that said rotor arc length is substantially the same as said stator arc length.
20. A rotary machine comprising a stator and a rotor disposed within said stator,
said rotor having an outer surface, a rotor axis and a rotor helical profile, a rotor pitch and a rotor lead, wherein, at any cross-section transverse to said rotor axis along at least a portion of a length of said rotor, said rotor has a rotor shape that is inwardly offset from a hypotrochoidal shape,
said stator having a stator axis and a stator helical profile, a stator pitch and a stator lead, wherein said stator has a stator shape at any cross-section transverse to said stator axis along at least a portion of a length of said stator that is an outer envelope formed when said rotor shape undergoes planetary motion,
wherein said rotor is configured to undergo planetary motion within said stator,
wherein said hypotrochoidal shape is an ellipse, said rotor shape has 2 lobes, and said stator shape has 1 lobe, and wherein said rotor pitch is the same as said stator pitch, and a ratio of said rotor lead to said stator lead is 2:1, and
wherein said stator helical profile defines an at least one inwardly protruding helical thread, and said rotor helical profile defines at least one outwardly protruding helical thread, and wherein:
said rotor and stator each have a longitudinal axis;
said rotor has a rotor arc length around said at least one outwardly protruding helical thread in a plane normal to said longitudinal axis of said rotor;
said stator has a stator arc length around said at least one inwardly protruding helical thread in a plane normal to said longitudinal axis of said stator; and
said rotor shape is inwardly offset from said hypotrochoidal shape to a degree such that said rotor arc length is substantially the same as said stator arc length.