Application of Acoustic Metamaterials to Finite Amplitude Sound Wave

Author(s):  
Woon Siong Gan
1971 ◽  
Vol 49 (1B) ◽  
pp. 329-333 ◽  
Author(s):  
Joseph B. Keller ◽  
Martin H. Millman

An attempt has been made to develop a method for dealing with solutions of problems connected with the production of waves by spherical concentrations of compressed air. Starting from the general equations for three-dimensional spherically symmetrical flow in a homogeneous compressible medium having constant entropy everywhere, a process has been devised to apply step-by-step calculations over small intervals of time to investigate the general features of such a motion. A complete solution has been worked out in one particular case for a not very intense initial distribution of pressure, and various indirect checks have indicated that the results are reasonably accurate. These results show m any features of definite interest. As distinct from plane or spherical sound wave theory, it is found that a train of waves passes away from the centre of disturbance, the amplitudes and wave lengths falling off from wave to wave. Furthermore, as distinct from finite amplitude plane wave theory which shows that any wave must eventually become a shock wave, the waves obtained in the finite amplitude spherical wave case show no indication of becoming shock waves, and indeed show towards the closing stages of the calculation a similarity to sound wave propagation. The method is applicable to any spherically symmetrical motion up to such a time as the formation of a shock wave takes place and then fails owing to the assumption of constant entropy.


1989 ◽  
Vol 6 (7) ◽  
pp. 305-308 ◽  
Author(s):  
Qian Zuwen ◽  
Zheng Xizoyu
Keyword(s):  

1966 ◽  
Vol 40 (3) ◽  
pp. 731-733
Author(s):  
Donald B. Cruikshank
Keyword(s):  

2021 ◽  
Vol 248 ◽  
pp. 01041
Author(s):  
Du Zhehua

Bragg scattering phonon crystal and locally resonant acoustic metamaterials were introduced. In order to generate noise reduction, the lattice constant of Bragg scattering phonon crystal should be of the same order of magnitude as the wave length of the sound wave, therefore, its application field is limited. Locally resonant acoustic metamaterials consume sound energy by coupling its own resonant frequencies with those of sound waves at close range. Its size is two orders of magnitude smaller than the wavelength of sound wave; thus, the control of low-frequency noise by small-size acoustic metamaterials is realized. Locally resonant acoustic metamaterials have some extraordinary physical characteristic in the conventional medium for their special acoustic structural units, such as negative refraction and negative mass density. Especially in low frequency band, they have acoustic forbidden band in which the sound wave transmission is prohibited. Acoustic structural unit having resonant characteristics has been developed. Surface-mounted resonant element plate structures and thin film acoustic metamaterials are the normal types of locally resonant acoustic metamaterials. Their research and development provide a new method for low-frequency noise control.


1996 ◽  
Vol 100 (4) ◽  
pp. 2712-2712
Author(s):  
Igor B. Esipov ◽  
Konstantin I. Matveev ◽  
Konstantin A. Naugolnykh

Sign in / Sign up

Export Citation Format

Share Document