Natural frequencies of innovative building structures with several vibration sources

The object of research is the dynamics of innovative building structures in the form of thermostructural panels. The panels are exposed to several vibration sources with unbalanced masses. The sources are established on the same basis. It is assumed that self-synchronization may occur when exposed to several vibration sources with unbalanced masses. Method. A design diagram has been drawn up for the location of several vibration sources in a building on one beam. The sources of vibration were rotors with unbalanced masses. The equations of motion of the rotors were compiled based on the Lagrange equations of the second kind. An analytical solution is found under the assumption that the angular velocities of the rotors are constant. The displacements of the system's center of mass from the equilibrium position are determined. The circular frequencies of natural transverse vibrations of a beam of constant cross-section are determined. Results. The results indicate that the values of the first natural frequency of the beam when it is rigidly fastened are close to the frequency of household engines with rotating parts with an unbalanced mass, and there is a danger of self-synchronization. It is shown that at specific attenuation coefficient values, the beam's displacement amplitude exceeds the permissible values.