Abstract
In this paper, two kinds of new finite element approaches are proposed for the flexible beam motion with time-varying length, large displacement and large rotation. The first approach is based on the method with variable domain and is described in the floating frame reference formulation (FFRF). Comparison with normal FFRF, calculation costs increase greatly due to time-dependent shape function. In the second approach, to avoid this disadvantage, the method of multiple time scales is applied to the above-proposed method in FFRF. A simple flexible pendulum with time-varying length has been treated for the comparison between these two approaches. In the approach used method of multiple time scales, the advantage for the calculation cost is verified.
