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Vibration Analysis of Rotating Cantilever Beams Considering Concentrated Mass Effect

집중방향의 영향을 고려한 회전 외팔보의 진동해석

  • Published : 1996.08.01

Abstract

The equations of motion for rotating contilever beams with a concentrated mass loated in an arbitrary position are derived. For the modeling of the concentrated mass the Dirac delta function is used for the mass density function. Parametric studies are performed with five dimensionless variables ; natural frequencies, angular velocity, hub radius, concentrated mass, and the mass location. The concentrated mass, whereverit may locate, lowers the natural frequencies of a stationaly beam. However, when the beam rotates, the natural frequencies(if they increase or decrease) are dictated by the location of the concentrated mass.

Keywords

Vibration;Rotating Cantilever Beam;Concentrated Mass;Hub Radius;Natrual Frequency Vibration Effect;Critical Angular Speed;Dimensionless Variables