301 空間的周期構造を有する多自由度非線形振動系の非線形局在モード

概要

論文の詳細を見る
Intrinsic Localized Modes (ILMs) are investigated in which N nonlinear oscillators are weakly coupled with each other when this system is subjected to sinusoidal excitation. The purpose of this study is investigating the behavior of ILMs in the nonlinear multi-degree-of-freedom system with spatially periodic structure. In the theoretical analysis, the equations of motion for the system are derived and then van der Pol's method is employed to determine the expression for the frequency response curves. In the numerical calculation, the frequency response curves are shown for the cases of N=2 and 3 and compared with the results of the numerical simulation. The influence of the spring constants of the connected springs on the occurrence of the ILMs is examined. The change of the values of those spring constants may cause to Hopf bifurcation followed by amplitude modulated motion. Furthermore, it is found in the numerical simulation that any patterns of ILMs for the case of N=10 may occur depending on the initial condition.
一般社団法人日本機械学会の論文
2011-09-05