Abstract

The ultrasonic transmission spectrum in a double-layered bonded structure is related closely to its interfacial stiffness. Consequently, researching the regularity of the transmission spectrum is of significant interest in evaluating the integrity of the bonded structure. Based on the spring model and the potential function theory, a theoretical model is developed by the transfer matrix method to predict the transmission spectrum in a double-layered bonded structure. Some shift rules of the transmission peaks are obtained by numerical calculation of this model with different substrates. The results show that the resonant transmission peaks move towards a higher frequency with the increase of the normal interfacial stiffness, and each of them has different movement distances with the increasing interfacial stiffness. Indeed, it is also observed that the movement starting points of these peaks are at the specific frequency at which the thickness of either substrate plate equals an integral multiple of half a wavelength. The results from measuring the bonding specimens, which have different interfacial properties and different substrates in this experiment, are utilized to verify the theoretical analysis. Though the theory of “starting points” is not demonstrated effectively, the shift direction and distance exactly match with the result from the theoretical algorithm.

Highlights

  • Adhesive bonding has excellent shock absorption capacity and reliable sealing performance in comparison with welding and bolting [1,2]

  • In order to reduce the effects of air-ultrasonic drawbacks on detecting the integrity of adhesive bonds, in this paper, we investigate the laws that resonant peaks in the transmission coefficients shift with the increase of the interfacial stiffness in different substrate materials and thicknesses

  • The physical and mathematical models, which are used to describe the propagating characteristic characteristic of the air-ultrasound in double-layered adhesively-bonded structures, is established by of the air-ultrasound in double-layered adhesively-bonded structures, is established by the transfer the transfer matrix method. This mathematical model is simplified in some special cases

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Summary

Introduction

Adhesive bonding has excellent shock absorption capacity and reliable sealing performance in comparison with welding and bolting [1,2]. Wang et al studied the ultrasonic transmission on anisotropic media with rigid and slip interfaces emphatically [22] Their studies focus on the traditional ultrasonic coupling method, few attempts have been made to research the transmission characteristics of an air-coupled ultrasonic technique. In order to reduce the effects of air-ultrasonic drawbacks on detecting the integrity of adhesive bonds, in this paper, we investigate the laws that resonant peaks in the transmission coefficients shift with the increase of the interfacial stiffness in different substrate materials and thicknesses. These laws provide the theoretical basis for optimizing the detecting parameter. In consideration of theoretical analyses, the change laws have been presented, and demonstrated by experiments

Physical Model
Mathematical
Analysis
The Same Material and Equal Thickness
The Same Material and Unequal-Thickness
The Unequal-Thickness Materials
Specimen Preparation
Experimental Procedures
Time-domain
Conclusions
Full Text
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