A Multiple-Scale Perturbation Approach to Mode Coupling in Periodic Plates

作者：Asfar Omar^*; Hawwa Muhammad; Bavencoffe Maxime; Morvan Bruno; Izbicki Jean Louis

来源：IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2013, 60(2): 395-401.

DOI：10.1109/TUFFC.2013.2575

In this paper, guided ultrasonic wave propagation is analyzed in an elastic plate with sinusoidal surface corrugations. The corrugated area acts as a finite-length grating which corresponds to a 1-D phononic crystal (PC). The multiple-scale perturbation technique is used to derive coupled-mode equations describing the amplitudes of interacting modes. These equations are solved exactly for the two-point boundary-value problem of the PC. The study involves the coupling of the incident symmetric Lamb wave S-0 to the reflected antisymmetric Lamb wave A(0). The influences of the depth of corrugation and length of the PC are studied. Theoretical results are compared with experimental measurements.

• 出版日期2013-2
• 单位中国石油大学（北京）