병진 및 회전 운동을 하는 내향 외팔보의 모델링 및 진동해석

Abstract

Modeling and vibration analysis of an inward cantilever beam undergoing translational and rotational motion is carried out based on the Euler–Bernoulli beam theory. The equations of motion are derived using the hybrid deformation variable modeling method along with the Rayleigh–Ritz assumed mode method. Spin-up rotational motion and sinusoidal translational motion are simultaneously prescribed for the inward cantilever beam. As the result of the simultaneous motion, coupled phenomena occur and combinatory excitation frequencies are generated. Therefore, resonance occurs at the combinatory frequencies that are obtained from the frequencies of rotational and translational motions.