Experimental Verification of Effect of Different Fluid Properties on the Vibration Response of a Cantilever Rotor
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International Applied Mechanics, Vol. 56, No. 5, September, 2020
EXPERIMENTAL VERIFICATION OF EFFECT OF DIFFERENT FLUID PROPERTIES ON THE VIBRATION RESPONSE OF A CANTILEVER ROTOR
A. R. Yadao
The current analysis is an effort to obtain the vibration characteristics of a cantilever rotor shaft with an extra mass added at the free end of the rotor shaft partially immersed in a viscous medium. This work is concentrated on the theoretical analysis of the natural frequency and amplitude of the spinning cantilever rotor shaft with addition mass using the influence coefficient method. The influence of fluid forces is studied using the Navier–Stokes equation. The gap ratio (ratio of the fluid-filled container radius to the shaft radius) and viscosity of the fluid are taken as the main variable parameters. MATLAB programming is used to obtain vibration behavior from the theoretical expressions. The obtained result from the numerical analysis is validated by the comparison of the results of experimental analysis. Keywords: cantilever rotor shaft, dynamic response, Navier-Stokes equation, influence coefficient method 1. Introduction. In the last few years, researchers focused on the dynamic analysis of the critical speed of a rotor, under several conditions, due to its significance in design. When a shaft rotates in a viscous medium, the analysis of natural frequency and amplitudes becomes difficult. The effects of a crack in the shaft of rotating machinery associated with dynamic analysis were determined by many investigators. Researchers have done a lot of work on the vibration response of the shaft. But no particular analysis of the rotor shaft in a different fluid medium has been described. The current analysis is helpful for the vibration characteristics of a rotating shaft in a viscous fluid such as high-speed turbine rotors, long spinning shaft used for extracting oil from the seabed by drilling, etc. Wauer [1] has reported a review of the dynamics of a cracked rotor. Kedyrow et al. [2] have studied the vibration analysis of the oscillation of cylinder immersed inside a viscous fluid-filled tubular duct. They have used theoretical and mathematical significance for obtained the frequency with consideration of different fluid parameter Walston et al. [3] have investigated the vibration characteristics of a spinning shaft inside a viscous medium, but no exact distinction was made among the damping effect and virtual mass effect on the spinning shaft. Papadopoulos and Dimarogonas [4] have discussed the dynamic characteristics of a spinning shaft with a transverse crack, but they have not discussed separately the external damping effect and the virtual mass effect on the crack shaft. Ostachowicz and Krawczuk [5] have studied the effect of transverse cracks on the coupled torsional and bending vibrations of a rotor. Gasch [6] has studied the dynamic response of a spinning shaft with a transverse crack. They took the De-Laval rotor for the investigation and explored some prospects for early crack identification. Fritz [7] h
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