ばね支持された弾性送水管の横振動における不安定モード間の非線形相互作用

抄録

Self-excited vibrations of a pipe conveying fluid have been studied as an essential problem of unstable phenomena on non-conservative continuous systems. In this system, double Hopf bifurcations can be produced in the range of certain parameters. In this study, we investigate the nonlinear interactions between two unstable modes. By using Lyapnov-Schmidt reduction method, we obtained the amplitude equations which govern the nonlinear interactions between two unstable modes. In this study, we explain mechanism of nonlinear interactions on amplitude equations. Furthermore, we conducted additional experimental results of non-planar mixed modal self-excited vibrations.