抄録
The purpose of this paper is to discuss about how to model and formulate of the nonstationary vibration of a string with time-varying length using finite elements. The string is hung vertically and excited sinusoidally by a horizontal displacement at its upper end. It is modeled and formulated, using the method of multiple scales with a nonlinear scale. In the case that the string moves with the passage through the resonance, the numerical results using the proposed method is compared with the analytical approximate ones and its validity is confirmed.