Stepped-plate ultrasonic transducer used as a source of harmonic radiation force optimized by genetic algorithm

Abstract

Circular stepped-plates are often chosen to generate continuous waves in air due to their transmission efficiency, directive radiation patterns and capability to generate high-intensity airwave emission. Such features can be suitable for an acoustic radiator intended for the generation of harmonic radiation force, if the narrow bandwidth of the piezoelectric power transducer is not an obstacle to the application. This force has been used as the excitation source in noncontact modal analysis of mechanical devices, since it offers some advantages over the traditional impact method and the use of shakers. In this study, a directional stepped-plate ultrasonic device driven by a bolt-clamped Langevin-type transducer is used to excite the first flexural mode of a clamped-free beam by means of harmonic radiation force. The harmonic component was generated using an amplitude-modulated electrical input signal. The radiator design was done by solving a parametric optimization problem of finding a plate with the desired vibrational behavior using the genetic algorithm. Finite element analysis was used to obtain the dynamic behavior of the device and the airwave propagation was modeled using linear acoustic theory. Modal and harmonic analyses were conducted to obtain some of the electroacoustic parameters of the transducer. The acoustic field generated by the prototype is estimated by solving the Rayleigh integral and the obtained results are compared to experimental measurements.