Additively manufactured locally resonant interpenetrating lattice structure
A method and apparatus for attenuating acoustic waves is provided. A lattice is formed with a plurality of support struts. A plurality of resonating struts are formed extending between the support struts, wherein the resonating struts are configured to attenuate acoustic waves within a predetermined range of frequencies while allowing acoustic waves outside the predetermined range of frequencies to pass through the resonant structure unattenuated. The resonant structure is interposed between two bodies to isolate one body from acoustic waves from the other body over the predetermined range of frequencies.
1. An acoustic resonant structure, comprising:
a lattice including a plurality of support struts; and
a plurality of resonating struts extending between the plurality of support struts, wherein the plurality of resonating struts are configured to attenuate acoustic waves within a predetermined range of frequencies while allowing acoustic waves outside the predetermined range of frequencies to pass through the acoustic resonant structure unattenuated, and wherein at least one of the plurality of resonating struts further comprises a resonating member.
2. The acoustic resonant structure of claim 1 , wherein the lattice has a pyramidal lattice structure.
3. The acoustic resonant structure of claim 2 , wherein pyramidal lattice elements form rectangular lattice cells.
4. The acoustic resonant structure of claim 1 , wherein the plurality of resonating struts extend between intersections of the plurality of support struts.
5. The acoustic resonant structure of claim 1 , wherein the resonating member comprises a resonating disc and the frequencies of acoustic waves attenuated by the plurality of resonating struts are determined according to number, mass density, and stiffness of the plurality of resonating struts.
6. The acoustic resonant structure of claim 5 , wherein the mass density of at least one of the plurality of resonating struts is different from the mass density of at least one other of the plurality of resonating struts.
7. The acoustic resonant structure of claim 1 , wherein all components of the resonant structure are made from a single material.
8. The acoustic resonant structure of claim 1 , wherein the resonant structure has an acoustic property comprising at least one of a negative effective dynamic moduli, a negative effective dynamic density, a negative refractive index, an imaginary speed of sound, a complex wave number, and a purely imaginary wave number.
9. The acoustic resonant structure of claim 1 , wherein the resonant structure has an acoustic property comprising at least one of acoustic dampening, structural isolation, acoustic cloaking, no vibrational wave propagation.
10. The acoustic resonant structure of claim 1 , wherein the resonant structure is interposed between two bodies a first body and a second body and is configured to isolate the second body from acoustic waves from the ether first body over the predetermined range of frequencies.
11. The acoustic resonant structure of claim 1 , wherein the plurality of resonating struts are configured to attenuate acoustic waves within the predetermined range of frequencies by at least one of:
reflecting;
redirecting;
damping;
storing energy elastically; and
storing energy kinetically.
12. A method of attenuating acoustic waves, comprising:
forming an acoustic resonant structure comprising:
a lattice including a plurality of support struts;
a plurality of resonating struts extending between the plurality of support struts, wherein the plurality of resonating struts are configured to attenuate acoustic waves within a predetermined range of frequencies while allowing acoustic waves outside the predetermined range of frequencies to pass through the resonant structure unattenuated, wherein at least one of the plurality of resonating struts further comprises a resonating member; and
interposing the resonant structure between a first body and a second body to isolate the second body from acoustic waves from the first body over the predetermined range of frequencies.
13. The method of claim 12 , wherein the lattice has a pyramidal lattice structure.
14. The method of claim 13 , wherein pyramidal lattice elements form rectangular lattice cells.
15. The method of claim 12 , wherein the resonating member comprises a resonating disc and the frequencies of acoustic waves attenuated by the plurality of resonating struts are determined according to number, mass density, and stiffness of the plurality of resonating struts.
16. The method of claim 15 , wherein the mass density of at least one of the plurality of resonating struts is different from the mass density of at least one other of the plurality of resonating struts.
17. The method of claim 12 , further comprising forming the acoustic resonant structure from a single material.
18. The method of claim 12 , wherein the resonant structure has an acoustic property comprising at least one of a negative effective dynamic moduli, a negative effective dynamic density, a negative refractive index, an imaginary speed of sound, a complex wave number, and a purely imaginary wave number.
19. The method of claim 12 , wherein the resonant structure has an acoustic property comprising at least one of acoustic dampening, structural isolation, acoustic cloaking, no vibrational wave propagation.
20. The method of claim 12 , wherein attenuating acoustic waves within the predetermined range of frequencies further comprises at least one of:
reflecting;
redirecting;
damping;
storing energy elastically; and
storing energy kinetically.
21. The method of claim 12 , further comprising forming the acoustic resonant structure using additive manufacturing.
22. A method, comprising
attenuating acoustic waves between a first body and a second body over a predetermined range of frequencies using an acoustic resonant structure interposed between the first body and the second body, wherein the acoustic resonant structure comprises:
a lattice including a plurality of support struts; and
a plurality of resonating struts extending between the plurality of support struts,
wherein the plurality of resonating struts are configured to attenuate acoustic waves within the predetermined range of frequencies while allowing acoustic waves outside the predetermined range of frequencies to pass through the resonant structure unattenuated,
wherein at least one of the plurality of resonating struts further comprises a resonating member, and
wherein the resonating member comprises a resonating disc and the frequencies of acoustic waves attenuated by the plurality of resonating struts are determined according to number, mass density, and stiffness of the plurality of resonating struts.