Multi-objective optimization design of spherical transducer

In order to solve the mixed nonlinear multi-objective optimization problem of discrete/continuous variables of the spherical transducer under the multi-constraint conditions, the electrical-mechanical-acoustic model of the spherical transducer is built based on the equivalent circuit theory. The multi-objective optimization mathematical model of the spherical transducer is constructed. The transmitting sound level, input electric power and mass are taken as the optimization objective functions, and the material property parameters, structural size parameters, frequency range and input voltage are taken as the design variables. Besides, the physical properties such as piezoelectric ceramic depolarization,structural strength limit, power capacity and the value of design variables are taken as constraints. The multi-objective optimization design of the spherical transducer is carried out by using the non-dominated sorting genetic algorithm-II(NSGA-II), and the Pareto front solution set is obtained. The effectiveness of the optimization results is verified by experiments. The results show that the transducer prototype designed and manufactured by the multi-objective optimization method reduces the input power by 32.8% and the mass by 27.4% under the premise of meeting the requirements of the transmitting sound level. The results are of great value to the optimization design of transmitting transducer under severe conditions.