Nonstationary Vibration of a Rotating Shaft with Nonlinear Spring Characteristics During Acceleration Through a Critical Speed : A Critical Speed of a 1/2-Order Subharmonic Oscillation

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This paper deals with the nonstationary oscillations of a flexible rotating shaft with nonlinear spring characteristics. In particular, we investigate a phenomenon during constant acceleration and deceleration passing through a critical speed of a 1/2-order subharmonic oscillation of forward precession. In numerical simulations, we examined the influence of the angular acceleration λ and the initial angular position ψ_0 of a rotor unbalance on the maximum amplitude of the subharmonic oscillation. As a result, the following points are clarified: (1) the maximum amplitude depends markedly on λ and ψ_0; (2) in order to always pass through this critical speed with finite amplitude during acceleration, an angular acceleration greater than a certain value λ_0 is necessary; and (3) when the angular acceleration is less than this critical value λ_0 (0<λ<λ_0), the shaft's ability to pass through this critical speed depends on ψ_0. We ascertained the validity of these theoretical results by experiments.
一般社団法人日本機械学会の論文
1989-12-15