Enhancing performance of systems that absorb vibrations and/or flexural waves by considering adhesive properties
Disclosed are systems for absorbing and/or isolating vibrations and/or flexural waves acting upon a structure using scatterers. In one example, a system for absorbing a flexural wave acting upon a structure includes a pair of scatterers adhered to the structure using an adhesive having a property that is based on a reduction of the flexural wave at a peak frequency by the pair of scatterers.
1 . A system for absorbing a flexural wave acting upon a structure, the system comprising a pair of scatterers adhered to the structure using an adhesive having a stiffness that is correlated with a frequency of peak vibration reduction such that the stiffness is selected to maximize vibration reduction at a target frequency of the flexural wave by the pair of scatterers.
2 . The system of claim 1 , wherein the pair of scatterers are separated by approximately one-quarter wavelength of the flexural wave, and wherein the stiffness of the adhesive is selected to correspond to a resonant frequency associated with a wavelength of the flexural wave.
3 . The system of claim 1 , wherein at least one of the scatterers forming the pair of scatterers include:
a pair of supports;
a flexible material extending between the pair of supports; and
a mass connected to the flexible material.
4 . The system of claim 3 , wherein the adhesive is disposed between the pair of supports and the structure.
5 . The system of claim 3 , wherein at least one of the scatterers forming the pair of scatterers further comprises a rigid crossbar extending between the supports.
6 . The system of claim 1 , wherein the scatterers forming the pair of scatterers have monopole and dipole resonances at approximately the same frequency.
7 . The system of claim 1 , wherein the scatterers forming the pair of scatterers are separated from each other by a separation distance that is approximately one-quarter of a wavelength of the flexural wave acting on the structure.
8 . The system of claim 1 , wherein the scatterers forming the pair of scatterers are arranged on the structure in a direction substantially similar to the direction of the flexural wave acting on the structure.
9 . The system of claim 1 , wherein the structure has a top side and a bottom side, wherein one of the scatterers forming the pair of scatterers is disposed on the top side of the structure and another of the scatterers forming the pair of scatterers is disposed on the bottom side of the structure.
10 . The system of claim 1 , wherein a resonant frequency of the scatterers forming the pair of scatterers is approximately substantially equal to or greater than a frequency of the flexural wave acting on the structure.
11 . The system of claim 10 , wherein the resonant frequency of the scatterers forming the pair of scatterers is approximately 5% greater than the frequency of the flexural wave acting on the structure.
12 . A scatterer for absorbing a flexural wave acting upon a structure, the scatterer comprising:
a pair of supports that are disposed apart from each other;
a flexible material extending between the pair of supports;
a mass connected to the flexible material; and
an adhesive configured to adhere the pair of supports to the structure, the adhesive having a stiffness that is correlated with a frequency of peak vibration reduction such that the stiffness is selected to maximize vibration reduction at a target frequency of the flexural wave.
13 . The scatterer of claim 12 , further comprising a rigid crossbar extending between the supports.
14 . A system for absorbing a flexural wave acting upon a structure, the system comprising:
a pair of scatterers adhered to the structure using an adhesive having a stiffness that is correlated with a frequency of peak vibration reduction such that the stiffness is selected to maximize vibration reduction at a target frequency of the flexural wave; and
at least one of the scatterers forming the pair of scatterers include:
a pair of supports that are disposed apart from each other, wherein the adhesive is disposed between the pair of supports and the structure,
a flexible material extending between the pair of supports, and
a mass connected to the flexible material.
15 . The system of claim 14 , wherein at least one of the scatterers forming the pair of scatterers further comprises a rigid crossbar extending between the supports.
16 . The system of claim 14 , wherein the scatterers forming the pair of scatterers have monopole and dipole resonances at approximately the same frequency.
17 . The system of claim 14 , wherein the scatterers forming the pair of scatterers are separated from each other by a separation distance that is approximately one-quarter of a wavelength of the flexural wave acting on the structure.
18 . The system of claim 14 , wherein the scatterers forming the pair of scatterers are arranged on the structure in a direction substantially similar to the direction of the flexural wave acting on the structure.
19 . The system of claim 14 , wherein a resonant frequency of the scatterers forming the pair of scatterers is approximately substantially equal to or greater than a frequency of the flexural wave acting on the structure.
20 . The system of claim 14 , wherein the pair of scatterers are separated by approximately one-quarter wavelength of the flexural wave, and wherein the stiffness of the adhesive is selected to correspond to a resonant frequency associated with a wavelength of the flexural wave.