Modeling of Vibration of a Fluidized Bed Cylindrical Shell

The aim of this work is to model the vibration of the shell of a cylindrical fluidized bed under internal pressure fluctuations in order to predict its hydrodynamic behavior. Pressure fluctuations of gas-solid were calculated by a CFD-DEM model. The governing vibration equations of the shell were derived from Donnell’s nonlinear shallow-shell theory. The discretized equations were obtained by Galerkin’s method and solved with the finite element analysis. Results of the model were compared with the experimental data in both time and frequency domains.It was shown that the model is able to follow the trends of standard deviation, skewness and kurtosis of the vibration signals obtained from experiments. Minimum fluidization velocity was calculated from standard deviation, skewness and kurtosis of vibration signals. It was shown that the dominant frequency of vibration signals is around 1500-2000 Hz in bubbling fluidized bed and there is a good agreement between the power spectrum density of the simulated and experimental vibration signals. The results showed that the vibration model developed in this work can simulate the real dynamic conditions of the bubbling fluidized bed and is a reliable method to predict the hydrodynamic behavior of the bed.