Dynamic Stability of Annular Plates Under Pulsating Torsion

Abstract

The dynamic stability of annular plates under periodic torsion is analyzed by means of the Galerkin method in conjunction with Hsu’s procedure. The instability regions associated with both principal and combination parametric resonances are clarified for relatively low frequency ranges. It is found that under the purely periodic torsion only the combination instability region exists, while under the simultaneous action of the static torsion the principal instability region exists also. The circumferential phase difference of two vibration modes excited simultaneously at the resonance is also found to change remarkably the relative width of the instability region.