Directional propagation characteristics of flexural wave in two-dimensional periodic grid-like structures

The propagation characteristics of flexural waves in a two-dimensional (2D) periodic grid-like structure are analysed with the plane wave expansion method to yield phase constant surfaces, which can predict high directivity of flexural wave propagation for certain frequencies within pass bands. The prediction is validated through computation of the harmonic responses of a finite structure with 21 × 21 unit cells. The results can guide the design of 2D periodic grid-like structures where flexural waves at certain frequencies do not propagate in specified directions.

[1]  Wen Xi-sen,et al.  Directional Propagation Characteristics of Flexural Waves in Two-Dimensional Thin-Plate Phononic Crystals , 2007 .

[2]  Gang Wang,et al.  The directional propagation characteristics of elastic wave in two-dimensional thin plate phononic crystals , 2007 .

[3]  Gang Wang,et al.  Complete flexural vibration band gaps in membrane-like lattice structures , 2006 .

[4]  G. Wang,et al.  Flexural vibration band gaps in Euler-Bernoulli beams with locally resonant structures with two degrees of freedom , 2006 .

[5]  Gang Wang,et al.  Theoretical and experimental investigation of flexural wave propagation in straight beams with periodic structures: Application to a vibration isolation structure , 2005 .

[6]  W. Ji-hong,et al.  Lumped-mass method on calculation of elastic band gaps of one-dimensional phononic crystals , 2005 .

[7]  Gang Wang,et al.  Two-dimensional locally resonant phononic crystals with binary structures. , 2004, Physical review letters.

[8]  Gang Wang,et al.  Lumped-mass method for the study of band structure in two-dimensional phononic crystals , 2004 .

[9]  Jakob Søndergaard Jensen,et al.  Phononic band gaps and vibrations in one- and two-dimensional mass-spring structures , 2003 .

[10]  Han Xiao-Yun,et al.  Finite difference time domain method for the study of band gap in two-dimensiona l phononic crystals , 2003 .

[11]  Massimo Ruzzene,et al.  Wave beaming effects in two-dimensional cellular structures , 2003 .

[12]  José Sánchez-Dehesa,et al.  Two-dimensional phononic crystals studied using a variational method: Application to lattices of locally resonant materials , 2003 .

[13]  J. V. Sánchez-Pérez,et al.  Refractive acoustic devices for airborne sound. , 2001, Physical review letters.

[14]  Yukihiro Tanaka,et al.  Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch , 2000 .

[15]  Sheng,et al.  Locally resonant sonic materials , 2000, Science.

[16]  N. S. Bardell,et al.  The response of two-dimensional periodic structures to harmonic point loading : A theoretical and experimental study of a beam grillage , 1997 .

[17]  R. Langley.  THE RESPONSE OF TWO-DIMENSIONAL PERIODIC STRUCTURES TO IMPULSIVE POINT LOADING , 1997 .

[18]  Robin S. Langley,et al.  THE RESPONSE OF TWO-DIMENSIONAL PERIODIC STRUCTURES TO POINT HARMONIC FORCING , 1996 .

[19]  Bahram Djafari-Rouhani,et al.  Complete acoustic band gaps in periodic fibre reinforced composite materials : the carbon/epoxy composite and some metallic systems , 1994 .

[20]  Eleftherios N. Economou,et al.  Elastic waves in plates with periodically placed inclusions , 1994 .

[21]  B. Djafari-Rouhani,et al.  Acoustic band structure of periodic elastic composites. , 1993, Physical review letters.

[22]  Eleftherios N. Economou,et al.  Band structure of elastic waves in two dimensional systems , 1993 .

[23]  G. Northrop,et al.  Ballistic phonon imaging in germanium , 1980 .

[24]  S. Timoshenko,et al.  Theory of Elasticity (3rd ed.) , 1970 .

[25]  Humphrey J. Maris,et al.  Phonon Focusing in Solids , 1969 .