In this work, equation of motion of a beam whose length changes with time are derived by assuming that the deflection gradients of the beam are small, and that axial vibration is negligible. And two FE(Finite Element) model is established.
Approximate solutions from the above two models, assumed mode method and the Newmark-β method respectivly is compared. And finally The effects by the axial force on the transverse vibration is studied.
