The Vibration of A Rotating Hemispherical Shell Excited by Electrostatic Field

Abstract

The modal equations of motion of an electrostatically forced rotating hemispherical shell are derived based on Niordson thin shell theory. These equations are coupled by the Coriolis force and the applied electrical field. The parametric instabilities can be excited when the amplitude and frequency of the harmonic eletrical force are located in some regions of the parametric space. Results show that the stability boundaries for combination resonances are affected by the rotating speed of the shell. The effect due to a small constant axial rotation of the shell results in the processional phenomenon of standing waves (or vibrational modes). The precession rate for the parametrically forced vibration case is found to be the same as that of the freely vibrating one.

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