Abstract
Effects of the gyroscopic moment on the nonstationary vibration, which occurs when a rotor passes through its critical speed at a uniform acceleration rate, are analyzed. The numerical integration results show that the gyroscopic moment makes the maximum amplitude small and makes the rotational speed, where the maximum amplitude occurs, high comparing with the results of a single-degree-of-freedom system. These phenomena may be explained by assuming that the acceleration rate in the gyroscopic system becomes large in appearance. Formulas for the imaginary acceleration rate and the maximum amplitude are derived by considering both the nonstationary vibration of a single-degree-of-freedom system and the change of the natural frequency of the gyroscopic system. The estimated maximum amplitudes are compared with the numerical ones.
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