Nonlinear Dynamic Modeling and Stability Analysis of an Axially Oscillating Cantilever Beam With a Concentrated Mass

축방향 왕복운동을 하는 집중질량을 가진 외팔보의 비선형 동적 모델링 및 안정성 해석

A nonlinear modeling method for an axially oscillating cantilever beam with a concentrated mass is presented in this paper. Hybrid deformation variables are employed fur the modeling method with which frequency response characteristics of axially oscillating cantilever beams are investigated. The geometric nonlinear effects of stretching and curvature are considered to accurately predict the frequency response characteristics of the oscillating cantilever beam. The effects of the magnitude and the location on the concentrated mass on the frequency characteristics are investigated. It is found that the dynamic instability is significantly influenced by the two parameters.