Abstract
The equivalent source method is widely applied to study structural acoustic radiation in an underwater environment. However, there is still uncertainty in arranging the equivalent source, and the current mainstream configuration method needs a large number of equivalent sources, limiting its practical applicability. In this paper, an equivalent source configuration method that is simple, effective, and easy to implement, and which based on a tradeoff between the ill condition of the transfer matrix and the adequacy of the simulated structure’s radiated sound field, is proposed. The optimization method can derive the appropriate positions and quantity of monopole equivalent sources simultaneously. The method does not yield an optimal solution in a strict mathematical sense but provides satisfactory results compared with those obtained by uniformly distributed equivalent sources. Numerical simulation results showed that the optimization method derives accurate sound field calculation results with a relatively small number of equivalent sources, significantly reducing the number of subsequent calculations needed. Finally, the experiments conducted with a cylindrical shell structure verified the validity and practicality of the proposed method.
Highlights
This paper investigated the problem of equivalent source configuration, which limits the application of equivalent source method (ESM)
The main contribution of this work is that we proposed an easy to implement and straightforward method for the equivalent source configuration, which can determine the appropriate positions and quantity of monopole equivalent sources simultaneously
The coherence coefficient of the transfer function is used as a reference to balance the ill condition of the transfer matrix against the adequacy of the simulated structure radiated sound field
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The configuration of the ESM includes the type, position, and number of equivalent sources. Most ocean sound field models are based on monopole sources [20]. The practical problem is that the method requires a large number of equivalent sources, which is not conducive to engineering applications. We propose an automatic search method for deriving the positions and the number of equivalent sources simultaneously. The sound field calculation results became more accurate even when using fewer equivalent sources. This method is simple and easy to use, which is helpful to the application of the ESM. The final section gives a summary and discussion of the findings
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