Modal analysis of secondharmonic generation of shear horizontal modes in an elastic plate
Abstract
A modal analysis is presented to derive secondharmonic generation of shear horizontal modes in an elastic plate. Under secondorder perturbation the second harmonics will generate along with shear horizontal mode propagation due to the bulk elastic nonlinearity of the plate material. The fields of the second harmonics are regarded as superpositions of fields of harmonic frequency Lamb modes. The analysis results show that the field component of harmonic frequency Lamb modes may have a cumulative growth effect as its phase velocity exactly or approximately equals that of shear horizontal modes. The exact solution to the second harmonics is obtained.
 Publication:

Applied Physics Letters
 Pub Date:
 September 2002
 DOI:
 10.1063/1.1504878
 Bibcode:
 2002ApPhL..81.1916D
 Keywords:

 surface acoustic waves;
 harmonic generation;
 modal analysis;
 elasticity;
 Acoustic Properties;
 Elastic Plates;
 Elastic Properties;
 Harmonic Generations;
 Sound Waves;
 Surface Waves;
 43.25.Fe;
 43.35.Pt;
 68.35.Iv;
 62.20.Dc;
 81.40.Jj;
 46.25.Cc;
 Acoustics;
 Effect of nonlinearity on acoustic surface waves;
 Surface waves in solids and liquids;
 Acoustical properties;
 Elasticity elastic constants;
 Elasticity and anelasticity stressstrain relations;
 Theoretical studies