Bulletin of JSME
Online ISSN : 1881-1426
Print ISSN : 0021-3764
A Study of Vibration and Velocity Characteristics of an Accelerated Unbalanced Rotor : The 1st report, Stationary Solutions of Motion
Katsumasa Matsuura
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1975 Volume 18 Issue 125 Pages 1226-1235

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Abstract
Stationary solutions of motion of an accelerated unbalanced rotor with a linear oscillating system are introduced by an analysing method somewhat different from the methods used heretofor. By using the results, the stationary dynamic load torque generated by oscillations and the approximation expressions for calculating the stationary speed or rotation holding in the region far exceeding the critical speed, and for calculating the perturbation rates of the rotational speed are introduced. Furthermore, the transitional characteristics of oscillations and rotational speeds from the starting to the stationary states are calculated numerically by Runge-Kutta-Gill method. By comparison of the stationary characteristics obtained by the numerical calculation with the results analysed theoretically, it is shown that the theoretical solutions accord well with the results obtained by the numerical calculation. Furthermore, it is shown that the dynamic load torque is represented by a vector product of a centrifugal force vector and a displacement vector.
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© The Japan Society of Mechanical Engineers
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