Mathematical Modeling of Flexural Disk Transducers for Arrays

Abstract : The HINGE-DISK program was used to develop a multiport flexibility model for a typical bilaminar flexural disk transducer. The dynamic performance of a single transducer and a line array of three modules (each module is 2 transducers assembled back to back) was predicted using this multiport flexibility model as a basic building block. The computer program ARRAY was developed as a special hybrid version of the DYANA program to perform the dynamic array analysis. Three different two port models were developed as approximations to the multiport model. The predicted dynamic performance of single two port modules, and line arrays of two ports, were compared against the full multiport model results which served as the standard of comparison.