Analyses for random flow-induced vibration of cylindrical structures subjected to turbulent axial flow

In this paper, stochastic analytical equations for obtaining the vibratory response of bundles of cylinders in turbulent axial flow, with various degrees of computational efficiency, are presented. Lateral components of the turbulent fluid force-per-unit-length cross-spectral densities in a bundle of cylinders are obtained by the integration of differential wall-pressure fluctuations around the circumferences of the cylinders. These quantities are used as excitation in the calculation of random vibration response spectral densities of the cylindrical structures. Properties of symmetry applicable to lateral forces in bundles of symmetrically arranged cylinders are also discussed.