摘要
理论研究了单层-衬底胶接结构超声反射波谱的低频(使用的超声波频率低于胶层的1/4波长共振频率)特征,指出了利用分层系统的谐振频率飘移量反演胶层厚度并进而评价胶层内聚强度的可能性。用Taylor展开给出了谐振频率所满足的非线性方程的显式解,其与Newton法数值解吻合得很好,适用范围远大于弹簧模型。在更低的频率范围,胶层可用熟知的线性弹簧模型描述。
The low-frequency features of the ultrasound reflection spectra from the structure of a single layer on a substrate bonded by a thin adhesive layer are theoretically studied; the low-frequency here means the frequency of the interrogating ultrasonic wave is less than the quart-wavelength resonance frequency of the adhesive layer. The possibility of the inversion of the thickness and the evaluation of the cohesion strength of the adhesive layer from the resonance frequency shifts of the layered system is indicated. An analytic solution to the nonlinear equation satisfied by the resonance frequency is presented by Taylor expansion method showing satisfactory agreement with the numerical results by Newton iterative method. The results indicate larger range for application than the traditional spring model for the thin adhesive layer. In a much lower frequency range the thin adhesive layer may be regarded to be a spring.
出处
《声学学报》
EI
CSCD
北大核心
2005年第4期337-342,共6页
Acta Acustica
基金
国家自然科学基金重点项目资助课题(10234060)
关键词
衬底胶接
超声反射波谱
分层系统
谐振频率
内聚强度
低频特征
Acoustic wave reflection
Error analysis
Mechanical properties
Nondestructive examination
Ultrasonic applications
