非線形ばね特性をもつ回転軸系の危険速度通過時の振動 : 1/3次分数調波振動の共振点

概要

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Nonstationary vibration characteristic during acceleration through a critical speed of a 1/3-order subharmonic oscillation of forward precession is investigated. The following results are obtained: (1) Resonace curves exist separated from the zero-amplitude solution which is stable at any rotating speed ω. If there exists an initial disturbance, the solution jumps to the resonance curve and the subharmonic oscillation may occur. (2) The maximum amplitude depends not only on the angular acceleration A but also on the initial disturbance ΔP, the initial rotating speed ω_s and the initial angular position, Ψ_0, of the unbalance. And with respect to the initial angular position Ψ_0, the maximum amplitudes vary periodicaly. (3) The amplitude may grow infinitely when the angular acceleration λ takes a value between two critical values λ_1 and λ_2. If the angular acceleration is outside of this range, the rotor can always pass the critical speed with a finite maximum amplitude. In addition, characteristics of 1/2- and 1/3-order subharmonic oscillations of backward precession are discussed briefly. From comparison of the results of all kinds of subharmonic oscilations, it becomes clear that the periodicity of the maximum amplitude for Ψ_0 has strong relation to the periodicity of the spring characteristics around the equilibrium position.
社団法人日本機械学会の論文
1991-07-25