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A wing foil bearing may include one or more wing or tab foil layers. A tab foil layer may comprise a thin material with a two-dimensional array of tab shapes. A tab shape may be defined by a boundary of material separated from the thin material and having an integral edge and a free edge. Tab shapes

A wing foil bearing may include one or more wing or tab foil layers. A tab foil layer may comprise a thin material with a two-dimensional array of tab shapes. A tab shape may be defined by a boundary of material separated from the thin material and having an integral edge and a free edge. Tab shapes may include one or more free-state bends relative to the thin material, forming a two-dimensional array of cantilever wings or tabs. Tab arrays may be one or more of various types or two-dimensional arrays, and a tab foil layer may include additional tab arrays and tabs. One or more tab foil layers may be engaged with a mounting surface layer and a counter-surface layer to form a wing foil bearing. Tab foil layers may be stacked and or nested, including partial nesting and complete nesting.

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1. A wing foil bearing comprising: a mounting surface layer;a first tab foil layer cooperatively engaged with the mounting surface layer,the tab foil layer comprising a first material with a two-dimensional array of a first plurality of tab shapes, each tab shape defined by a boundary of material se

1. A wing foil bearing comprising: a mounting surface layer;a first tab foil layer cooperatively engaged with the mounting surface layer,the tab foil layer comprising a first material with a two-dimensional array of a first plurality of tab shapes, each tab shape defined by a boundary of material separated from the first material and having an integral edge integral with the first material and a free edge substantially opposite the integral edge, the boundary of material further defining a window region, each tab shape bent from the first material in proximity to the integral edge to form a first two-dimensional array of cantilever tabs having a first free-state bend;each cantilever tab in the first plurality of cantilever tabs comprises a second free-state bend located between the first free-state bend and the free edge; anda counter-surface layer cooperatively engaged with at least a portion of the first two-dimensional array of cantilever tabs;wherein the second free-state bend comprises a bend in a direction opposite from the first free-state bend, thereby defining a foot,a second tab foil layer, wherein:the second tab foil layer comprising a second material with a two-dimensional array of a second plurality of tab shapes, each tab shape defined by a boundary of material separated from the second material and having an integral edge integral with the second material and a free edge substantially opposite the integral edge, the boundary of material further defining a window region, each tab shape bent from the second material to form a second two-dimensional array of cantilever tabs having a third free-state bend,wherein the second tab foil layer is stacked between one of the mounting surface layer and the first tab foil layer, and the first tab foil layer and the counter-surface layer. 2. The wing foil bearing of claim 1, wherein each cantilever tab in the first two-dimensional array of cantilever tabs is bent at a first free-state bend angle relative to the first material. 3. The wing foil bearing of claim 1, wherein the first free-state bend and the second free-state bend are separated by an unbent region. 4. The wing foil bearing of claim 1, wherein the second free-state bend defines a contact region for cooperatively engaging the counter-surface layer and for preventing the free edge from contacting the counter-surface layer. 5. The wing foil bearing of claim 1, wherein the integral edges for each tab shape are substantially the same width. 6. The wing foil bearing of claim 1, wherein the two-dimensional array of the first plurality of tab shapes is one of a regularly spaced array, an irregularly spaced array, a rectangular array, a square array, a rhombic array, a hexagonal array, a parallelogrammic array, a triangular array, and a circular array. 7. The wing foil bearing of claim 1, wherein the wing foil bearing is one of a flat planar bearing, a curved planar bearing, a cylindrical bearing, a conical bearing, a spherical bearing, and a hemispherical bearing. 8. The wing foil bearing of claim 1, wherein a tab shape comprises a second integral edge spaced apart from the first integral edge, thereby forming a spaced apart region between the first and second integral edges. 9. The wing foil bearing of claim 8, wherein the spaced apart region comprises an additional tab shape defined by a boundary of material separated from the first material and having an integral edge integral with the first material and located in the spaced apart region. 10. The wing foil bearing of claim 1, wherein the first material further comprises an additional plurality of tab shapes, each tab shape in the additional plurality of tab shapes bent from the first material to form an additional plurality of cantilever tabs. 11. The wing foil bearing of claim 10, wherein the cantilever tabs in the first plurality of tabs comprise a plurality of effective heights. 12. The wing foil bearing of claim 1, wherein the cantilever tabs in the first plurality of tabs comprise a plurality of tab lengths. 13. The wing foil bearing of claim 1, wherein a free edge of a cantilever tab comprises a segmented end. 14. The wing foil bearing of claim 1, wherein the first plurality of tab shapes comprises at least one of a tapered tab, a reverse tapered tab, an hourglass tab, an L tab, a T tab, a tapered tab with a hole, a rectangular tab with a cutout, a multiple frame tab with a cutout and a tab having a segmented end. 15. The wing foil bearing of claim 1, wherein the first plurality of tab shapes formed in pairs, such that the tab shapes in each pair have an integral edge along a common web region of the first material. 16. A wing foil bearing comprising: a mounting surface layer;a first tab foil layer cooperatively engaged with the mounting surface layer,the tab foil layer comprising a first material with a two-dimensional array of a first plurality of tab shapes, each tab shape defined by a boundary of material separated from the first material and having an integral edge integral with the first material and a free edge substantially opposite the integral edge, the boundary of material further defining a window region, each tab shape bent from the first material in proximity to the integral edge to form a first two-dimensional array of cantilever tabs having a first free-state bend;each cantilever tab in the first plurality of cantilever tabs comprises a second free-state bend located between the first free-state bend and the free edge; anda counter-surface layer cooperatively engaged with at least a portion of the first two-dimensional array of cantilever tabs;wherein the second free-state bend comprises a bend in a direction opposite from the first free-state bend, thereby defining a foot,a second tab foil layer, wherein:the second tab foil layer comprising a second material with a two-dimensional array of a second plurality of tab shapes, each tab shape defined by a boundary of material separated from the second material and having an integral edge integral with the second material and a free edge substantially opposite the integral edge, the boundary of material further defining a window region, each tab shape bent from the second material to form a second two-dimensional array of cantilever tabs having a third free-state bend,wherein at least a portion of the second tab foil layer is nested with at least a portion of the first tab foil layer, such that at least a portion of the cantilever tabs of the second tab foil layer is disposed within at least a portion of the window regions of the first tab foil layer. 17. The wing foil bearing of claim 16, wherein each cantilever tab in the first two-dimensional array of cantilever tabs is bent at a first free-state bend angle relative to the first material. 18. The wing foil bearing of claim 16, wherein the first free-state bend and the second free-state bend are separated by an unbent region. 19. The wing foil bearing of claim 16, wherein the second free-state bend defines a contact region for cooperatively engaging the counter-surface layer and for preventing the free edge from contacting the counter-surface layer. 20. The wing foil bearing of claim 16, wherein the integral edges for each tab shape are substantially the same width. 21. The wing foil bearing of claim 16, wherein the two-dimensional array of the first plurality of tab shapes is one of a regularly spaced array, an irregularly spaced array, a rectangular array, a square array, a rhombic array, a hexagonal array, a parallelogrammic array, a triangular array, and a circular array. 22. The wing foil bearing of claim 16, wherein the wing foil bearing is one of a flat planar bearing, a curved planar bearing, a cylindrical bearing, a conical bearing, a spherical bearing, and a hemispherical bearing. 23. The wing foil bearing of claim 16, wherein a tab shape comprises a second integral edge spaced apart from the first integral edge, thereby forming a spaced apart region between the first and second integral edges. 24. The wing foil bearing of claim 23, wherein the spaced apart region comprises an additional tab shape defined by a boundary of material separated from the first material and having an integral edge integral with the first material and located in the spaced apart region. 25. The wing foil bearing of claim 16, wherein the first material further comprises an additional plurality of tab shapes, each tab shape in the additional plurality of tab shapes bent from the first material to form an additional plurality of cantilever tabs. 26. The wing foil bearing of claim 25, wherein the cantilever tabs in the first plurality of tabs comprise a plurality of effective heights. 27. The wing foil bearing of claim 16, wherein the cantilever tabs in the first plurality of tabs comprise a plurality of tab lengths. 28. The wing foil bearing of claim 16, wherein a free edge of a cantilever tab comprises a segmented end. 29. The wing foil bearing of claim 16, wherein the first plurality of tab shapes comprises at least one of a tapered tab, a reverse tapered tab, an hourglass tab, an L tab, a T tab, a tapered tab with a hole, a rectangular tab with a cutout, a multiple frame tab with a cutout and a tab having a segmented end. 30. The wing foil bearing of claim 16, wherein the first plurality of tab shapes formed in pairs, such that the tab shapes in each pair have an integral edge along a common web region of the first material.