Natural frequencies of a vertical pipeline element

This work is devoted to the problem of noise and vibration from the pipeline systems in multi-storey buildings. A method for determining the probability of the occurrence of increased vibrations using modal analysis in the ANSYS Workbench software package is proposed. Numerical analysis of straight sections of the pipeline, each differing in diameter and length, is performed. The results of the numerical analysis of the influence of the length, diameter, and wall thickness of a pipe system element on the change in the frequencies of its natural oscillations are presented with a view to predicting the risk of possible resonance regimes. Pairwise and multiple regression analyses are performed, and regression equations are obtained describing the functional relationship between the first frequency of the natural oscillations and the length, diameter, and wall thickness of the pipeline section.