Cooling element architecture for MEMS-based cooling system architecture

1. A cooling system, comprising:

a support structure; and

a cooling element having a thickness and including an anchored region and a cantilevered arm, the anchored region being coupled to and supported by the support structure, the cantilevered arm extending outward from the anchored region wherein the cantilevered arm includes at least one cavity therein, the at least one cavity having a depth of at least one-third and not more than three-fourths of the thickness of the cooling element;

wherein the cooling element is configured to undergo vibrational motion when actuated to drive a fluid for cooling a heat-generating structure.

2. The cooling system of claim 1 , wherein the depth of the at least one cavity is at least one-half and not more than two-thirds of the thickness.

3. The cooling system of claim 1 wherein the cantilevered arm includes a tip distal from the anchored region and wherein the at least one cavity includes a first cavity on a bottom side of the cooling element and a second cavity on a top side of the cooling element, the first cavity being a distance from the tip and having a first depth, the second cavity having a second depth, the first depth plus the second depth being equal to the depth.

4. The cooling system of claim 3 , wherein the second cavity further includes a recessed portion.

5. The cooling system of claim 1 , wherein the at least one cavity of the cooling element further includes at least one of an additional tab, a cavity extension and a cross rib.

6. The cooling system of claim 1 , wherein the cantilevered arm includes a tip distal from the anchored region, and wherein the at least one cavity is configured such that an anticlastic curvature across the tip is within thirty percent of a maximum normalized deflection.

7. The cooling system of claim 6 , wherein the anticlastic curvature is within twenty percent of the maximum normalized deflection.

8. The cooling system of claim 1 , wherein the cantilevered arm is configured such that at a maximum deflection, a bend in the cantilevered arm is present in a region that is at least one-half and not more than two-thirds along the cantilevered arm from the anchored region.

9. The cooling system of claim 1 , further comprising:

a piezoelectric having a width, a length, and a piezoelectric thickness, the width being at least forty percent and not more than fifty percent of a cooling element width, the length being at least forty percent and not more than fifty percent of a cooling element length, the piezoelectric thickness being at least fifty micrometers and not more than two hundred micrometers.

10. The cooling system of claim 1 , further comprising:

a top plate having at least one vent therein;

a bottom plate having a plurality of orifices therein, the bottom plate being disposed between the cooling element and the heat-generating structure; and

a plurality of cell walls, configured such that a top chamber is formed between the top plate and the cooling element and such that a bottom chamber is formed between the bottom plate, and the cooling element, the top chamber being in fluid communication with the bottom chamber.

11. A cooling system, comprising:

a plurality of cooling cells, each of the plurality of cooling cells including a cooling element having a thickness and including an anchored region and a cantilevered arm, the anchored region being coupled to and supported by a support structure, the cantilevered arm extending outward from the anchored region wherein the cantilevered arm includes at least one cavity therein, the at least one cavity having a depth of at least one-third and not more than three-fourths of the thickness of the cooling element, the cooling element undergoing vibrational motion when actuated to drive a fluid for cooling a heat-generating structure.

12. The cooling system of claim 11 , wherein the depth of the at least one cavity is at least one-half and not more than two-thirds of the thickness.

13. The cooling system of claim 11 wherein the cantilevered arm includes a tip distal from the anchored region and wherein the at least one cavity includes a first cavity on a bottom side of the cooling element and a second cavity on a top side of the cooling element, the first cavity being a distance from the tip and having a first depth, the second cavity having a second depth, the first depth plus the second depth being equal to the depth.

14. The cooling system of claim 11 , wherein the cantilevered arm includes a tip distal from the anchored region, and wherein the at least one cavity is configured such that an anticlastic curvature across the tip is within thirty percent of a maximum normalized deflection.

15. The cooling system of claim 11 , wherein the cantilevered arm is configured such that at a maximum deflection, a bend in the cantilevered arm is present in a region that is at least one-half and not more than two-thirds along the cantilevered arm from the anchored region.

16. The cooling system of claim 11 , further comprising:

a piezoelectric having a width, a length, and a piezoelectric thickness, the width being at least forty percent and not more than fifty percent of a cooling element width, the length being at least forty percent and not more than fifty percent of a cooling element length, the piezoelectric thickness being at least fifty micrometers and not more than two hundred micrometers.

17. A method of cooling a heat-generating structure, comprising:

driving a cooling element to induce a vibrational motion at a frequency, the cooling element having a thickness and including an anchored region and a cantilevered arm, the anchored region being coupled to and supported by a support structure, the cantilevered arm extending outward from the anchored region wherein the cantilevered arm includes at least one cavity therein, the at least one cavity having a depth of at least one-third and not more than three-fourths of the thickness of the cooling element, the cooling element being configured to undergo the vibrational motion when actuated to drive a fluid for cooling the heat-generating structure.

18. The method of claim 17 wherein the frequency corresponds to a resonant frequency for the cantilevered arm.

19. The method of claim 17 , wherein the depth of the at least one cavity is at least one-half and not more than two-thirds of the thickness.

20. The method of claim 17 wherein the cantilevered arm includes a tip distal from the anchored region and wherein the at least one cavity includes a first cavity on a bottom side of the cooling element and a second cavity on a top side of the cooling element, the first cavity being a distance from the tip and having a first depth, the second cavity having a second depth, the first depth plus the second depth being equal to the depth.