Passive periodic structures exhibit unique dynamic characteristics that make the passive periodic structures act as mechanical filters for wave propagation. As a result, wave can propagate along the periodic structure...Passive periodic structures exhibit unique dynamic characteristics that make the passive periodic structures act as mechanical filters for wave propagation. As a result, wave can propagate along the periodic structures only within specific frequency bands called the pass bands and wave propagation is completely blocked within other frequency bands called the “stop bands”. A theoretical method based on the transfer matrix formulation is developed in order to effectively investigate the influence of periodicity, variable geometry and material properties on the wave propagation characteristics of one-dimensional periodic rod. Several numerical examples are presented in order to illustrate their unique tunable filtering and localization characteristics. The experiments are conducted to verify the numerical predictions and to demonstrate the capability of the wavelet transform as a very powerful tool to uniquely identify and compare the energy distribution both in the time and frequency domain. The flexibility that the spectral width and location of the pass and stop bands can be tuned by introducing intentional variation in geometric and material properties for the individual substructure or cell is identified completely by both numerical predictions and experimental results. The results demonstrate the potential of such one-dimensional periodic structure in controlling the dynamics of wave propagation as a mechanical filter such as engine mount, gearbox support strut and other applications.展开更多
We present the acoustic band gaps （ABGs） for a geometry of three-dimensional complex acoustic crystals： the NaCl-type structure. By using the super cell method based on the plane-wave expansion method （PWE）, we s...We present the acoustic band gaps （ABGs） for a geometry of three-dimensional complex acoustic crystals： the NaCl-type structure. By using the super cell method based on the plane-wave expansion method （PWE）, we study the three configurations formed by water objects （either a sphere of different sizes or a cube） located at the vertices of simple cubic （SC） lattice and surrounded by mercury background. The numerical results show that ABGs larger than the original SC structure for all the three configurations can be obtained by adjusting the length-diameter ratio of adjacent objects but keeping the filling fraction （f = 0.25） of the unit cell unchanged. We also compare our results with that of 3D solid composites and find that the ABGs in liquid composites are insensitive to the shapes as that in the solid composites. We further prove that the decrease of the translation group symmetry is more efficient in creating the ABGs in 3D water-mercury systems.展开更多
基金Chongqing Municipal Natural Science Foundation of China (No.8426)
文摘Passive periodic structures exhibit unique dynamic characteristics that make the passive periodic structures act as mechanical filters for wave propagation. As a result, wave can propagate along the periodic structures only within specific frequency bands called the pass bands and wave propagation is completely blocked within other frequency bands called the “stop bands”. A theoretical method based on the transfer matrix formulation is developed in order to effectively investigate the influence of periodicity, variable geometry and material properties on the wave propagation characteristics of one-dimensional periodic rod. Several numerical examples are presented in order to illustrate their unique tunable filtering and localization characteristics. The experiments are conducted to verify the numerical predictions and to demonstrate the capability of the wavelet transform as a very powerful tool to uniquely identify and compare the energy distribution both in the time and frequency domain. The flexibility that the spectral width and location of the pass and stop bands can be tuned by introducing intentional variation in geometric and material properties for the individual substructure or cell is identified completely by both numerical predictions and experimental results. The results demonstrate the potential of such one-dimensional periodic structure in controlling the dynamics of wave propagation as a mechanical filter such as engine mount, gearbox support strut and other applications.
基金Supported by the National Natural Science Foundation of China under Grant No 10674032, and the Natural Science Foundation of Guangdong Province under Grant Nos 032485 and 6021480.
文摘We present the acoustic band gaps （ABGs） for a geometry of three-dimensional complex acoustic crystals： the NaCl-type structure. By using the super cell method based on the plane-wave expansion method （PWE）, we study the three configurations formed by water objects （either a sphere of different sizes or a cube） located at the vertices of simple cubic （SC） lattice and surrounded by mercury background. The numerical results show that ABGs larger than the original SC structure for all the three configurations can be obtained by adjusting the length-diameter ratio of adjacent objects but keeping the filling fraction （f = 0.25） of the unit cell unchanged. We also compare our results with that of 3D solid composites and find that the ABGs in liquid composites are insensitive to the shapes as that in the solid composites. We further prove that the decrease of the translation group symmetry is more efficient in creating the ABGs in 3D water-mercury systems.
