Optimal Design of Cymbal Array Patterns to Achieve Broadband Characteristics Using an Equivalent Circuit

In this study, a new general and systematic design method to maximize the bandwidth of a cymbal array was developed by using an equivalent circuit. Initially, through the analysis of the acoustic interaction between the cymbal transducers in a 3
$\times $
3 array, the overall design scheme was developed using the center frequency (CF) and transmitting voltage response (TVR) level of the transducers as variables. The validity of the design was verified through a comparison with the results obtained using the finite-element method (FEM). Then, the optimal design method for a general
${N} {}\times {}{N}$
cymbal array was derived to achieve the widest bandwidth. The efficacy of the method was demonstrated by designing 4
$\times $
4 and 5
$\times $
5 arrays as sample cases. The new method can incorporate multiple design variables and reflect the effects of nonlinear interaction between the variables to design the optimal array pattern of cymbal transducers.