Vibration analysis of rotating cantilever beams orienting inward

Abstract

This paper presents a new structural dynamic model for the vibration analysis of rotating cantilever beams orienting inward with a concentrated added mass and setting angle. To obtain the structural dynamic model, a set of hybrid deformation variables is approximated using the Rayleigh-Ritz assumed mode method. Then dimensionless linear equations of motion are derived using dimensionless variables and parameters. The accuracy of the structural dynamic model is first validated by comparing the modal characteristic results obtained with the proposed model to those obtained in the previous study or obtained with a finite element code. Then, the effects of various dimensionless parameters on the dimensionless natural frequencies and dynamic buckling speed are investigated using the proposed model.