면내 방향 맥동 운동하는 외팔평판의 동적 안정성 해석

Dynamic Analysis of Cantilever Plates Undergoing Translationally Oscillating Motion

Dynamic stability of an oscillating cantilever plate is investigated in this paper. The equations of motion include harmonically oscillating parameters which originate from the motion-induced stiffness variation. Using the multiple scale perturbation method is employed to obtain a stability diagram. The tability diagram shows that relatively large unstable regions exist when the frequency of oscillation is near twice the frequencies of the 1st torsion natural mode and the 1st chordwide bending mode.