中文摘要：

利用超声波垂直入射的方法，研究了粘接层界面具有弹簧模型的边界条件下，波的反射系数与谐振频率的关系。首先，利用粘接层界面的一次反射导出切向和法向刚度比表达式；其次，推导了粘接层界面存在多次反射和透射时刚度比、谐振频率及反射系数之间的关系，得到了弱粘接结构的反射系数随着不同刚度比的变化规律；最后，分析了弱粘接层厚度的变化对谐振频率的影响。理论分析和数值计算的结果表明：随着刚度比的增加，谐椐蛹塞向高舾古向潭稳．茸日．晡若粘壤犀叵府的憎加．粘培结构惚山硼：羹：阶谐蝙蛹东

英文摘要：

Based on the method of ultrasonic normal incidence, the relationship between reflection coefficients and resonance frequencies under the boundary condition of an adhesive layer with a spring model is analyzed. The stiffness ratio expressions of tangent and normal are derived from the once reflection echo of the adhesive layer. The relationship between the stiffness ratio, resonance frequency and reflection coefficient of adhesive layer under multiple reflection echoes is derived, and the variation rule of reflection coefficients of weak bonded structures with different stiffness ratios is observed. Finally, the influence on the resonance frequency caused by the variation of thickness of a weak bonded structure is analyzed. The theoretical analysis and numerical calculation indicate that the resonance frequency has the trend of shifting to a higher frequency level with the increasing of the stiffness ratio, and the bonded structure has multi-order resonance frequencies with the increasing of the adhesive layer thickness.