Acoustic metamaterials
Metamaterial members for absorbing sound and pressure, and modular systems built of metamaterial members are provided. The metamaterial member includes an outer mass. The outer mass can have a cavity formed therein in which a stem coupled to an inner mass is disposed, or the outer mass can be solid and contain an inner mass embedded therein. The inner mass can include an inner core and an outer shell. Multiple metamaterial members can be attached to form a modular system for absorption of sound and pressure.
1. A metamaterial member for absorbing sound or pressure, the metamaterial member comprising:
an outer mass having a cavity formed therein, the outer mass having at least one inner edge defining the boundary of the cavity;
at least one stem disposed within the cavity and extending from the inner edge; and
at least one inner mass disposed within the cavity, the inner mass coupled with the stem and configured to undergo dynamic motion upon application of sound or pressure to the outer mass.
2. The metamaterial member of claim 1 wherein the at least one stem is a plurality of stems.
3. The metamaterial member of claim 2 wherein the plurality of stems includes at least three stem that have a periodic arrangement.
4. The metamaterial member of claim 2 wherein the at least one inner mass is a plurality of inner masses, each inner mass of the plurality of inner masses being attached to one stem of the plurality of stems.
5. The metamaterial member of claim 4 wherein each inner mass of the plurality of inner masses is substantially flat or two-dimensional.
6. The metamaterial member of claim 1 wherein a stem-mass member comprises the at least one stem and the at least one inner mass, the stem-mass member being attached to the at least one inner edge at at least two different points.
7. The metamaterial member of claim 1 wherein the at least one inner mass is a plurality of inner masses and the at least one stem is attached to at least two masses of the plurality of masses.
8. The metamaterial member of claim 1 wherein the metamaterial member has a negative effective elastic modulus for at least one range of frequencies of applied load.
9. The metamaterial member of claim 1 wherein the metamaterial member has a negative effective mass for at least one range of frequencies of applied load.
10. The metamaterial member of claim 1 wherein the outer mass is rectangular and the cavity is a rectangular void within the outer mass.
11. The metamaterial member of claim 1 wherein the at least one inner mass comprises an outer shell formed of a first material and an inner core formed of a second material.
12. The metamaterial member of claim 1 wherein each inner mass is substantially flat or two-dimensional and each inner mass has two opposed faces.
13. The metamaterial member of claim 1 wherein the stem is flexible.
14. A system of pulse-absorbing building materials, the system comprising a plurality of identical outer masses, each outer mass having a cavity formed therein, each outer mass having a plurality of stems disposed within the cavity and attached to an inner edge of the outer mass, each outer mass having a plurality of inner masses disposed within the cavity, each inner mass of the plurality inner masses attached to a stem of the plurality of stems and configured to undergo dynamic motion upon application of sound or pressure to the outer mass, wherein the system has at least one of (1) a negative effective elastic modulus for at least one range of frequencies of applied load, or (2) a negative effective mass for at least one range of frequencies of applied load.
15. The system of claim 14 wherein the plurality of inner masses and the plurality of stems are equal in number, each inner mass being attached to a single stem and no other stems.
16. A metamaterial member for absorbing sound or pressure, the metamaterial member comprising:
a solid outer mass that is substantially flat or two-dimensional; and
at least one inner mass that is substantially flat or two-dimensional, the at least one inner mass being embedded in the solid outer mass, the at least one inner mass comprising:
an outer shell formed of a first material; and
an inner core formed of a second material and configured to undergo dynamic motion upon application of sound or pressure to the outer mass.
17. The metamaterial member of claim 16 wherein the metamaterial member has a negative effective elastic modulus in a frequency range.
18. The metamaterial member of claim 16 wherein the metamaterial member has a negative effective mass in a frequency range.
19. The metamaterial member of claim 16 wherein the at least one inner mass is a plurality of inner masses.
20. The metamaterial member of claim 19 wherein the plurality of inner masses includes at least three inner masses that have a periodic arrangement.
21. The metamaterial member of claim 16 wherein the second material has a greater elastic modulus than the first material.
22. A metamaterial member for absorbing sound or pressure, the metamaterial member comprising:
a solid block mass; and
at least one inner mass that is embedded in the solid block mass, the at least one inner mass comprising:
an outer shell formed of a first material; and
an inner core formed of a second material and configured to undergo dynamic motion upon application of sound or pressure to the outer mass;
wherein either (1) at least one of the outer shell or the inner core has a non-spherical shape, or (2) the at least one inner mass comprises at least two inner masses that are not identical.
23. The metamaterial member of claim 22 wherein the second material has a greater elastic modulus than the first material.
24. The metamaterial member of claim 22 wherein the system has at least one of (1) a negative effective elastic modulus for at least one range of frequencies of applied load, or (2) a negative effective mass for at least one range of frequencies of applied load.
25. The metamaterial member of claim 22 wherein the outer shell has a substantially cylindrical shape.
26. The metamaterial member of claim 22 wherein the at least one inner mass comprises at least two inner masses that have at least one of different shapes, different sizes, or different materials.