Nonstationary Oscillation of a Rotating Shaft With Nonlinear Spring Characteristics During Acceleration Through a Major Critical Speed (A Discussion by the Asymptotic Method and the Complex-FFT Method)

[+] Author and Article Information
Y. Ishida, K. Yasuda

Department of Electronic-Mechanical Engineering, School of Engineering, Nagoya University, Furo-cho, Chilkusa-ku, Nagoya 464-01, Japan

S. Murakami

Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466, Japan

J. Vib. Acoust 119(1), 31-36 (Jan 01, 1997) (6 pages) doi:10.1115/1.2889684 History: Received October 01, 1993; Revised February 01, 1995; Online February 26, 2008


Nonstationary oscillations during acceleration through a major critical speed of a rotating shaft with nonlinear spring characteristics are discussed. First, the first approximate solutions of steady-state and nonstationary oscillations are obtained by the asymptotic method. Second, the amplitude variation curves of each oscillation component are obtained by the complex-FFT method. It is clarified that the first approximation of the asymptotic method has comparatively large quantitative error in the case of nonstationary solutions. In addition, the influences of each nonlinear component in polar coordinate expression on nonstationary oscillations are investigated.

Copyright © 1997 by The American Society of Mechanical Engineers
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