Duffing方程式に関する一覚書

概要

論文の詳細を見る
A discussion is presented as a contributive memorandum on the future development of the theory of the Duffing equation. The most reasonable arrangement and expression of the exact solutions for the free vibration are proposed, in which three cases are assumed according to the combination of system parameters; i. e., (a) #soft spring system, (b) #generalized hard spring (proper hard, single-term-cubic, and snap-through full-swing mode) , and (c) #snap-through spring half-swing mode. For the case of forced vibration, a new formulation of the fundamental equation is proposed, to gain the advantage of a smooth transition between the case of the single-term-cubic spring (a singular case) and the hard or the snap-through spring case, avoiding the difficulty of division by zero. The new formula also has the merit of reducing a parameter in the range from 0 to 1, which expresses all possible magnitudes of excitation.
一般社団法人日本機械学会の論文
1991-07-25