Responses of a flexible nonuniform circular beam in a bounded, viscous fluid
Abstract
A hydroelasticity theory [1] and a hydroelastic analysis are presented to describe the dynamic characteristics of a circular nonuniform beam in a bounded, viscous fluid. In vacuo, the principal mode and natural frequency characteristics are uniquely defined but when the combined influences of fluidstructureexternal boundary interactions are accounted for in the mathematical model, significant variations in the prinipal coordinates, resonance frequencies, responses, etc., occur. That is, resonance frequencies, etc., are not uniquely defined and reasons for this are found in the changes in the magnitudes of the generalized fluid actions. These are shown to be functions of the principal mode shapes, frequency of oscillation, the annular clearance between the cylinder and the rigid tube boundary and the viscosity of the fluid. The latter is mathematically modelled as an incompressible Stokes' fluid [2,3] and the principal modes of the dry freefree nonuniform cylinder are determined by using a ProhlMyklestad approach [1,4].
 Publication:

Journal of Sound Vibration
 Pub Date:
 January 1989
 DOI:
 10.1016/0022460X(89)906792
 Bibcode:
 1989JSV...128...39H