Abstract
In this paper, we propose a theoretical calculation method for the displacements of transient wave excited by a linear array coupled to an elastic solid with a longitudinal wave couplant. Firstly, the vertical and horizontal displacements excited by a vertical line source are solved based on exact and analytical solutions of transient elastic waves induced by a line source normally acting on an elastic half-space. Secondly, in this case, the displacements from a linear array can be determined by the superposition of the solutions of a number of discrete line forces mentioned above. All the theoretical results are compared to the finite element simulation results. The theoretical results are consistent with finite element simulation data. Therefore, the calculation method can save a lot of computing time. This paper provides a fast and accurate calculation method of transient wave displacements in a half-space generated by a linear array. The calculation method can be used to explore the sound field characteristics of a linear array transducer in the future.
Highlights
The ultrasonic array includes many active transducer elements which can be excited individually or simultaneously
Theoretical calculation of ultrasound fields was largely simplified: First of all, for a vertical line force acting on a solid half-space, both longitudinal and shear waves are generated inside the solid and none of them can be characterized by a simple cylindrical wave with equal amplitude along all directions.Secondly, in real applications, transducer elements are not actuated by harmonic excitation but by pulsed waveforms with finite duration
This paper provides a fast and accurate calculation method for the transient displacements in a half-space generated by a linear array
Summary
The ultrasonic array includes many active transducer elements which can be excited individually or simultaneously. Wooh et al regarded each transducer element as many discrete line sources loading on the surface of a elastic half-space, to predict the ultrasound field radiated by the linear phased array [4,5,6].
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