Modeling of ultrasonic signals received by a focused circular transducer from a side-drilled hole

Abstract

This paper presents a model that allows us to predict the ultrasonic signal received by a focused circular transducer from a side-drilled hole (SDH). In order to develop a model for the entire ultrasonic testing system, we first need to develop models for the following three parts of the problem: 1) the ultrasonic beam field, 2) the system function, and 3) the scattered waves from the SDH. To calculate the beam field, we use the multi-Gaussian beam modeling. To model the system function, the front surface reflection signal is used as a reference reflector, and to get the scattered field, both Kirchhoff approximation and the separation of variables (SOV) method are used. By combining these three subsidiary models, we obtain a complete model for the entire ultrasonic measurement system. Experimental results are used to verify the accuracy of the developed model. © RILEM 2013.