Abstract：Symmetric and asymmetric periodic structures are designed to investigate the coupling of longitudinal and flexural wave propagating in the structures. By using of mechanical mobility method and transfer matrix method, transfer matrices of the elements are derived in the consideration of the coupling of longitudinal and flexural wave motions. The multi-types of waves propagating the periodic structures are divided into two categories to avoid the numerical difficulties in solving the ill-conditioned transfer matrix. The propagation constants of the longitudinal and flexural waves are calculated, harmonic response of the semi-infinite and finite periodic structure in symmetric and asymmetric arrangements are obtained. Numerical simulations reveal that longitudinal wave and flexural wave are uncoupled for the symmetric periodic structure; the band structures of longitudinal and flexural wave are significantly influenced by the coupling of two waves, and longitudinal and flexural vibration response are attenuated only in the zones that stop bands of the both waves locate.
2015, Vol. 34 
