空間に固定された点で加振される回転円板の非線形強制振動 : 主共振点付近で発生する結合調波振動

抄録

Nonlinear forced oscillation of a rotating circular disk excited at a fixed point in space is considered. For theoretical analysis, modal equations are derived from the governing partial differential equations. Then, based on these modal equations, the characteristics of oscillation induced by harmonic excitation are investigated. Numerical calculation is conducted for a typical case in which the excitation frequency approches the primary resonance points of the forward and backward traveling wave modes. It is shown that near the primary resonance point of the backward traveling mode, forward traveling mode oscillation occurs in addition to backward traveling mode oscillation, and conversely, near the primary resonance point of the forward traveling mode, backward traveling mode oscillation occurs in addition to forward traveling mode oscillation. An experimental analysis is also conducted, which confirms the validity of the theoretical analysis.