Abstract
Transducer arrays are commonly analyzed by the finite element method (FEM) with high accuracy, but it is costly, particularly when having flexible surrounding structures. In this study, we developed an equivalent circuit (EC)-based model of an array of transducers with flexible surrounding structures for effective analysis. The impedance matrix was first constructed by coupling the electrical, mechanical impedance, and the acoustic radiation impedance obtained by the EC method and finite element-boundary element (FE-BE) coupling method. The transfer matrix of far-field pressure to the transducer response was then constructed by the FE-BE coupling method, and finally the sound pressure of the external acoustic field was obtained. To verify the accuracy, the results of the proposed method were compared with those of the conventional FEM. To evaluate the efficiency of the proposed method, the reduction in the degrees of freedom (DOFs) of the proposed method from the conventional FEM analysis was investigated. The simulation results of the proposed method are highly accurate and efficient. The proposed method is expected to be useful for conceptual design.
Highlights
Results are shown for elevation angles of designed as as the the frequency frequency band band near near the the maximum maximum peak peak of of the the transmitting voltage response (TVR)
This study developed a hybrid modeling method for an effective analysis of an This study developed a hybrid modeling method for an effective analysis of an acousacoustic transducer array with arbitrarily shaped flexible surrounding structures
The proposed analysis procedure is divided into two parts: The first part is cisely, the proposed analysis procedure is divided into two parts: The first part is for the for the construction of the impedance matrix using an equivalent circuit (EC) model and a finite element-boundary element (FE-BE) coupling construction of the impedance matrix using an EC model and a FE-BE coupling model
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Anthony [16] proposed an analysis method for array systems that reflects the influence of surrounding structures He calculated the acoustic radiation impedance using only the Helmholtz integral equation formula, and so the surrounding structures were considered as rigid reflectors. This approach neglects the effects of sound waves that are transmitted through the acoustic window Due to this limitation, studies on EC models so far have not been able to precisely predict the array performance while considering the flexibility of surrounding structures. We developed an EC-based model of a transducer array system that can consider the effects of the acoustic interaction and the vibration of the flexible surrounding structures.
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