Topological damping materials and methods thereof
The present invention features a metamaterial including a plurality of unit cells, in which each unit cell includes two interacting members to dissipate energy. Also provided herein are assemblies including such metamaterials and methods of manufacture.
1. A metamaterial comprising a plurality of unit cells, wherein each unit cell comprises:
a plurality of cell walls defining an inner volume, wherein at least two of the cell walls are configured to be elastic walls capable of being displaced along a normal direction;
a first member disposed within the inner volume and comprising a first planar surface;
a second member disposed within the inner volume and comprising a second planar surface; and
an interacting joint comprising a sliding movement between the first and second planar surfaces upon displacement of the elastic walls along the normal direction that provides energy dissipation by way of friction.
2. The metamaterial of claim 1 , wherein the first member comprises a first comb structure, the second member comprises a second comb structure, and the first and second comb structures are configured to interlace with one another upon displacement of the elastic walls along the normal direction, wherein the interlacing movement provides energy dissipation.
3. The metamaterial of claim 1 , wherein the first member comprises a conical portion providing the first planar surface, the second member comprises a chamber portion providing the second planar surface, and the first conical portion is configured to be inserted into the chamber portion upon displacement of the elastic walls along the normal direction, wherein the insertion movement provides energy dissipation.
4. The metamaterial of claim 1 , wherein the second member further comprises a damping chamber configured to form an enclosed chamber upon contact between the first and second planar surfaces of the interacting joint, and wherein formation of the enclosed chamber provides further energy dissipation.
5. The metamaterial of claim 1 , wherein each of the plurality of cell walls comprises an elastic wall.
6. The metamaterial of claim 5 , wherein the elastic wall comprises a first elastic wall section, a second elastic wall section, and an adjoining section disposed between the first and second elastic wall sections; and wherein the adjoining section is configured to allow the first and second elastic walls to be displaced along the normal direction and to be extended along a perpendicular direction.
7. The metamaterial of claim 1 , wherein the plurality of cell walls comprises a first horizontal wall, a second horizontal wall, a first sloped wall, a second sloped wall, a third sloped wall, and a fourth sloped wall; and wherein each of the first, second, third, and fourth sloped walls are disposed between the first and second horizontal walls.
8. The metamaterial of claim 7 , wherein each of the first, second, third, and fourth sloped walls comprises an elastic wall.
9. The metamaterial of claim 8 , wherein each elastic wall comprises a first elastic wall section, a second elastic wall section, and an adjoining section disposed between the first and second elastic wall sections; and wherein the adjoining section is configured to allow the first and second elastic walls to be displaced along the normal direction and to be extended along a perpendicular direction.
10. The metamaterial of claim 1 , wherein the first member and/or the second member comprises a stem configured to bend upon displacement of the elastic walls along the normal direction.
11. A metamaterial comprising a plurality of unit cells, wherein each unit cell comprises:
a plurality of cell walls defining an inner volume, wherein the plurality of cell walls comprises:
a first horizontal wall extending along a first direction,
a second horizontal wall disposed above the first horizontal wall and extending along a second direction that is parallel to the first direction,
a first wall section,
a second wall section,
a third wall section, and
a fourth wall section, wherein each of the first, second, third, and fourth wall sections are disposed between the first and second horizontal walls, wherein each of the first, second, third, and fourth wall sections comprises a first sloped wall, a second sloped wall, and an adjoining section disposed between the first and second sloped walls, and wherein the adjoining section is configured to allow the first and second sloped walls to be displaced along the normal direction and to be extended along a perpendicular direction;
a first member disposed within the inner volume and comprising a first planar surface, wherein the first member extends from an inner surface of the first horizontal wall;
a second member disposed within the inner volume and comprising a second planar surface, wherein the second member extends from an inner surface of the second horizontal wall, and wherein the second member comprises a plurality of stem sections, and wherein each stem section comprises a planar surface configured to interaction with a portion of the first planar surface of the first member; and
an interacting joint comprising an interacting movement between the first and second planar surfaces upon displacement of one or more of the plurality of cell walls along the normal direction, wherein the interacting movement provides energy dissipation.
12. The metamaterial of claim 11 , wherein the first member further comprises a first chamber portion.
13. The metamaterial of claim 12 , wherein the second member further comprises a second chamber portion; wherein the first and second chamber portions are configured to form an enclosed, damping chamber upon contact between the first and second planar surfaces of the interacting joint; and wherein formation of the enclosed, damping chamber provides further energy dissipation.
14. The metamaterial of claim 11 , wherein the plurality of stem sections forms a second chamber portion; wherein the first and second chamber portions are configured to form an enclosed, damping chamber upon contact between the first planar surface and the planar surfaces of the plurality of stem sections; and wherein formation of the enclosed, damping chamber provides further energy dissipation.
15. The metamaterial of claim 11 , wherein the first member further comprises a first chamber portion; wherein the second member further comprises a second chamber portion; wherein the interacting movement comprises displacement of the first, second, third, and fourth wall sections along the normal direction; wherein the first and second chamber portions are configured to form an enclosed, damping chamber upon contact between the first and second planar surfaces of the interacting joint; and wherein formation of the enclosed, damping chamber provides further energy dissipation.
16. The metamaterial of claim 15 , wherein the interacting joint comprises a sliding joint.
17. The metamaterial of claim 11 , wherein:
the first member further comprises a conical portion providing the first planar surface, wherein the conical portion comprises a first chamber portion;
the second member further comprises a second chamber portion and a third chamber portion providing the second planar surface, wherein the third chamber portion is configured to receive the conical portion of the first member;
the interacting movement comprises an insertion movement between the first member and the second member upon displacement of the first, second, third, and fourth wall sections along the normal direction, wherein the insertion movement comprises insertion of the conical portion of the first member into the third chamber portion of the second member; and
the first and second chamber portions are configured to form an enclosed, damping chamber upon contact between the first and second planar surfaces of the interacting joint, wherein formation of the enclosed, damping chamber provides further energy dissipation.