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为了激发粘接结构中的导波或界面波,通常需要将声波从两半无限介质同相位或反相位地同时入射多层系统。针对此问题,基于矩阵方法,推导了界面处于理想连接的情况下,对称或反对称纵波从上下半无限空间入射时,三层板状粘接结构中纵、横波的反射与透射系数表达式。分析了入射角度、粘接层厚度以及基体材料等对声波反射(或透射)特性的影响。结果表明,对称或反对称纵波垂直入射时不发生波型转换。粘接结构中声波的反射(或透射)特性与入射角度、频率以及粘接层厚度等参数密切相关。在相同的粘接层厚度(或频率)范围内,随着声波频率(或粘接层厚度)的增加,谐振频率曲线向低频漂移。该方法可作为粘接结构中体波或导波传播特性研究的重要理论基础。
In order to excite a guided wave or an interface wave in a bonded structure, it is usually necessary to simultaneously inject the sound wave into the multilayer system in phase or in anti-phase from two halves of an infinite medium. In order to solve the problem, based on the matrix method, the expressions of the reflection and transmission coefficients of the longitudinal and transverse waves in a three-layer plate-shaped bonding structure when the symmetric or anti-symmetric compressional waves are incident from the upper and lower semi-infinite spaces under the ideal connection are derived. The effects of incident angle, thickness of adhesive layer and substrate on the reflection (or transmission) characteristics of acoustic wave were analyzed. The results show that the mode conversion does not occur when the symmetric or anti-symmetric P-wave is incident perpendicularly. The reflection (or transmission) characteristics of the acoustic wave in the bonded structure are closely related to the parameters such as the incident angle, the frequency and the thickness of the adhesive layer. With the same bonding layer thickness (or frequency) range, the resonant frequency curve drifts toward lower frequencies as the acoustic frequency (or thickness of the bonding layer) increases. This method can be used as an important theoretical basis for the study of bulk wave or guided wave propagation in bonded structures.