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An acoustic/vibrational energy absorption metamaterial includes at least one enclosed planar frame with an elastic membrane attached having one or more rigid plates are attached. The rigid plates have asymmetric shapes, with a substantially straight edge at the attachment to said elastic membrane, s

An acoustic/vibrational energy absorption metamaterial includes at least one enclosed planar frame with an elastic membrane attached having one or more rigid plates are attached. The rigid plates have asymmetric shapes, with a substantially straight edge at the attachment to said elastic membrane, so that the rigid plate establishes a cell having a predetermined mass. Vibrational motions of the structure contain a number of resonant modes with tunable resonant frequencies.

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1. An acoustic/vibrational energy absorption metamaterial comprising: an enclosed planar frame;an elastic membrane attached to said frame;at least one rigid plate attached to said elastic membrane, the rigid plate having an asymmetric shape, with a substantially straight edge at the attachment to sa

1. An acoustic/vibrational energy absorption metamaterial comprising: an enclosed planar frame;an elastic membrane attached to said frame;at least one rigid plate attached to said elastic membrane, the rigid plate having an asymmetric shape, with a substantially straight edge at the attachment to said elastic membrane, the rigid plate establishing a cell comprising a predetermined mass; andthe rigid plate mounted to provide a restoring force exerting by the elastic membrane upon displacement of the rigid plate,wherein vibrational motions of the structure contain plural resonant modes with tunable resonant frequencies. 2. The acoustic/vibrational energy absorption metamaterial of claim 1, further comprising a plurality of plates in each unit cell. 3. The acoustic/vibrational energy absorption metamaterial of claim 2, wherein adjacent frames face each other with a distance having a predetermined relationship to the size of said frames. 4. The acoustic/vibrational energy absorption metamaterial of claim 2, wherein the rigid plates have a flapping mode providing a tunable function whereby the frequency decreases in an approximate relationship to the inverse square root of the mass of plates. 5. The acoustic/vibrational energy absorption metamaterial of claim 2, wherein the rigid plates have a flapping mode providing a tunable function based on the tunable resonant frequencies, said resonant frequencies tunable by varying the distance of separation between asymmetric plates, or the thickness and elasticity of the membrane, the mass of the plates, and the cell dimension. 6. The acoustic/vibrational energy absorption metamaterial of claim 5, further comprising providing the tunable function by varying at least one of the Young's module and the Poisson ratio of the membrane. 7. The acoustic/vibrational energy absorption metamaterial of claim 2, wherein the structural units comprise masses subject to vibratory motion and the vibratory motion has resonant frequencies that increases or decreases by varying the lateral dimensions of the structural units, a distance of separation between adjacent ones of the masses, the membrane elasticity, and the material type and dimension of the plates, thereby permitting selection of the resonant frequency as a lossy core. 8. The acoustic/vibrational energy absorption metamaterial of claim 2, further comprising at least one aluminum reflector at a predetermined near-field distance behind the membrane, the aluminum reflector improving sound absorption. 9. The acoustic/vibrational energy absorption metamaterial of claim 1, wherein the vibrational motions of the structure contain a number of resonant modes with tunable resonant frequencies while using a frictional hinge attachment biased toward a neutral position to absorb the vibration energy by replacing energy from movement of the rigid plates by rotational torque and its amplified force density inside the hinge. 10. An acoustic/vibrational energy absorption metamaterial comprising: an enclosed planar frame;an elastic membrane attached to said frame;at least one rigid plate attached to said elastic membrane with a frictional hinge attachment;the rigid plate having an asymmetric shape, with a substantially straight edge at the attachment to said elastic membrane, the rigid plate establishing a cell comprising a predetermined mass; andthe rigid plate mounted to provide a restoring force exerting by the elastic membrane upon displacement of the rigid plate,wherein vibrational motions of the structure comprise plural resonant modes with tunable resonant frequencies, the vibrational motions of the structure containing a number of resonant modes with tunable resonant frequencies while using the frictional hinge attachment to absorb the vibration energy by replacing energy from movement of the rigid plates by rotational torque and its amplified force density inside the hinge. 11. The acoustic/vibrational energy absorption metamaterial of claim 10, further comprising a plurality of rigid plates in each unit cell, wherein the rigid plates have a flapping mode providing a tunable function based on the tunable resonant frequencies, said resonant frequencies tunable by varying the distance of separation between asymmetric plates, or the thickness and elasticity of the membrane, the mass and dimension of the plates, and the cell dimension. 12. The acoustic/vibrational energy absorption metamaterial of claim 11, further comprising providing the tunable function by varying at least one of the Young's module and the Poisson ratio of the membrane. 13. The acoustic/vibrational energy absorption metamaterial of claim 11, wherein the rigid plates have a flapping mode providing a tunable function whereby the frequency decreases in an approximate relationship to the inverse square root of the mass of plates. 14. The acoustic/vibrational energy absorption metamaterial of claim 10, further comprising a plurality of rigid plates in each unit cell, wherein the structural units comprise masses subject to vibratory motion and the vibratory motion has resonant frequencies that increases or decreases by varying the lateral dimensions of the structural units, the membrane thickness and elasticity, and the material type and dimension of the plates, thereby permitting selection of the resonant frequency as a lossy core. 15. The acoustic/vibrational energy absorption metamaterial of claim 10, further comprising at least one aluminum reflector at a predetermined near-field distance behind the membrane.