Self-excited Vibration Analysis of a Rotating Cylinder Partially Filled with Liquid (Nonlinear Analysis by Shallow Water Theory)

Study on Vibration Reduction of a Rotating Cylindrical Tank with Elastic Supports

“…This alteration and the linear approximation with respect to the dynamic components r v and ϕ v transform Eqs. (11) and (12) into (15) Note that the transformation does not change the condition of continuity v div =0 or the boundary conditions given by Eq. (13).…”

“…There have been a number of studies concerned with the free vibration characteristics (1)- (3) , the responses of the centrifugal wave to lateral (4), (5) and axial excitations (6) , the self-excited vibration of a system consisting of a tank and its elastic supports (7)- (13) , utilization as a dynamic absorber (14) , and the nonlinear sloshing analysis based on shallow water approximation theory (15)- (19) . These studies are classified into those which consider viscosity (5), (7)- (9), (11)- (13), (15), (16), (18) and those which use inviscid theory (1)- (4), (6), (10), (14), (17), (19) , or into those which consider the coupling with the vibrations of elastic supports (7)- (17) and those which analyze the liquid motion generated by a prescribed tank excitation (4)- (6), (18), (19) . One feature of the earlier works is that they focus on the analyses of the phenomena.…”

On the dynamics of the fluid balancer

“…As by Colding-Jørgensen (1991) and Yoshizumi (2011) the formulation of the basic shallow water wave theory used in the present paper is based largely on the approach of Berman et al (1985). But rather than relying on a numerical integration approach, we find an (approximate) analytical solution to the fluid equations via a perturbation approach.…”

Vibrations in Rotary Machines

“…Thereafter, rotor stability assessment became the subject of much research. Wolf presented analysis based on inviscid flow [ Yoshizumi considered jump phenomena and the free surface waveform of the liquid using an eddy viscosity model [63,64]. Visualization tests of multiphase systems (i.e.…”