In this work the physical and mathematical models of predicting the effective acoustic properties of sound absorbing structures (Helmholtz resonators) in joint operation were formulated. Numerical simulation has been performed on the modeling of an acoustic wave in a model channel with resonators of various configurations. Research was carried out to optimize the mutual arrangement of Helmholtz cells (resonators) in sound-absorbing structures of resonant type. According to the results of the research, the mutual influence of closely located prismatic resonators in the model channel of rectangular shape was revealed. The most effective combinations of prismatic resonators were determined. Schemes and recommendations for the placement of composite and base resonators in sound-absorbing structures were developed. Unique single-layer composite sound-absorbing structures, working at several resonant frequencies, were developed. , 0 (2018) MATEC Web of Conferences