数値逆ラプラス変換の連続体の振動問題への適用に関する一考察

抄録

The numerical inversion method of the Laplace transform, FILT (fast inversion of Laplace transform), which was developed by Hosono, yields an admirable accuracy when the singular points of the Laplace transform have finite values. In the forced vibration problems of a finite continuous system, FILT cannot estimate the effect of higher natural modes accurately because the Laplace transform of the displacement has infinite singular points that are distributed discretely and form an unbounded sequence. In spite of this fact, FILT is useful in such vibration problems. The results obtained using FILT agree with the ones obtained using the mode acceleration method except at an early stage.