An acoustic system, defined as a liquid‐filled piezoceramic shell with an asymmetric internal insertion, is considered. The mathematical model is formulated. The problem of sound radiation by such a system is solved using the partial domains method. The acoustic characteristics of the system for a number of insertions with different configurations and acoustic characteristics of surfaces are studied extensively. The analysis of the obtained quantitative data allows the following conclusions. When exciting the piezoceramic shell in the zero (pulse) mode, redistribution of energy among various circumferential modes of vibration of the shell occurs through the asymmetric disposition of the insertions. This fact sets up the conditions for the occurrence of specific low‐frequency resonances of the system, absent in the eigenfrequency spectrum of the shell in vacuum.