The Influence of Wave Resonance Phenomena on the Sound Insulation of a Single-layer Building Partition in the Application of Calculation Models with the Concentrated Parameters

The article presents calculation formulas for calculating sound insulation before and after the frequency of wave coincidence, obtained through the joint solution of the equations of the momentum conservation law and kinetic energy conservation. The process of occurrence of wave interference phenomena in a construction partition, due to the movement of waves traveling along it and reflected from its anchoring nodes, is described. Formulas for corrections to sound insulation for resonances are given. A formula for finding the reflection coefficient of the oscillation velocity using the basic provisions of the method of concentrated parameters is obtained. A special case of determining the reflection coefficient of the oscillation velocity in a single-layer partition with a cruciform hinge joint in a panel building is considered. Formulas for computation of reflection coefficient of the oscillation velocity are written. As an example, frequency characteristics of two panel inter-apartment walls in buildings of standard series are found. Sound insulation graphs are constructed according to the applied method and the method of the Russian code of rules, and comparison with experimental measurements is provided.