Prediction of the response of a cylindrical shell to arbitrary or boundary-layer-induced random pressure fields

Prediction of the response of a thin structure subjected to a turbulent boundary-layer-induced random pressure field

“…Even though different correlations were adapted in the numerical calculation, good agreement was found. It should be noted that Lakis validated his results by verifying with Clinch's experimental measurements and good agreement was obtained [13]. In other words, comparison with Clinch's experimental measurements shows that our method is sound.…”

“…Accuracy of the proposed method was also verified for a cylindrical shell case. A thin cylindrical shell was analyzed and compared with the results obtained by Lakis and Païdoussis [13]. In our proposed method, the Corcos lateral and longitudinal correlations were used, but in Lakis' results Bakewell correlations were employed.…”

“…However, it is worth mentioning that only the first resonance frequencies of the shell make a significant contribution to the response due to turbulent flow. Following Clinch's study, Lakis and Païdoussis presented [13] a theory to predict the displacement response of a uniform or axially non-uniform thin cylindrical shell to an arbitrary random pressure field, and to a pressure field arising from the turbulent boundary layer of an internal subsonic flow. They obtained the root mean square (rms) displacements of the shell for a pressure field originating from the turbulent boundary layer of a subsonic internal flow at a specific circumferential wavenumber as well as the total displacement response by summation over all circumferential modes.…”

“…Prior to the work presented herein, this element could only be applied to cylindrical, conical or spherical shells since it is a cylindrical frustum. Based on this element, another work has been developed by one of the authors of this paper to predict the response of a thin cylindrical shell subjected to random pressure fluctuations arising from a turbulent boundary layer [13].…”

“…The effect of these forces can be neglected unless we are dealing with very flexible shells, very heavy fluids, or very high velocities. In any case, for metal shells in the vicinity of fluid with flow velocity in the normal engineering range, damping and stiffness effects of the flow are negligible [13] and will not be taken into account in this paper. Therefore the effects of the flow on the shell can be considered the same as the effects of a stationary fluid in contact with the shell.…”