IMPROVEMENT OF DISPERSION ANALYSIS METHOD FOR PERIODIC FIELD WITH A DEFECT ARRAY

Abstract

An efficient dispersion analysis method is developed for periodic composite materials with a defect array. In the method scattering waves from the defects are represented by equivalent forces. The dispersion analysis is then reduced to a nonlinear eigenvalue problem. Application of Floquet transform to the dynamic excitation makes it possible to solve this with a small unit cell of the periodic composite having no defects. Since, in the present problem, the inverse Floquet transform is given by a sum of solutions at discrete wavenumber vectors, the numerical effort can be reduced effectively. The nonlinear eigenvalue problem is solved by the Block SS method. The parallel computation in this approach enables to accelerate the dispersion analysis. Performance of the developed method is investigated based on a numerical example.