非対称断片線形特性を有する系の強制振動について : 第1報解析的手法の説明

概要

論文の詳細を見る
In this paper, steady, forced vibrations in an unsymmetrical piecewise-linear system of one-degree-of-freedom, whose characteristics for restoring and damping force are composed of two distinct linear regions, are analysed by means of a new method utilizing appropriate Fourier series expansion. Main features of this method consist in the following procedures : 1) Linearizing the original nonlinear equation of motion by assumedly expanding the non-linear part of the restoring and damping force into a Fourier series with the same period as of the given exciting force. 2) Obtaining the formal solution of thus linearized equation by deeming the above-mentioned nonlinear part as if it were an exciting force from without. This solution contains certain unknown coefficients of the Fourier expansion above assumed. 3) Determining these unknown coefficients from the conditions that the above obtained formal solution satisfies the given piecewise-linear characteristics of the system. A certain process of convergency improvement by means of series transformation may prove highly effective in this step.
社団法人日本機械学会の論文
1960-07-25