Stability boundaries of a spinning rotor with parametrically excited gyroscopic system |
| |
Authors: | Yong-Chen Pei |
| |
Institution: | 1. Faculty of Engineering, Shahrekord University, Shahrekord 115, Iran;2. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome 00184, Italy;1. Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Ave., Tehran 15875-4413, Iran;2. Department of Mechanical Engineering, School of Engineering, Persian Gulf University, Bushehr 75168, Iran |
| |
Abstract: | Some published papers used Bolotin's method for stability boundaries of spinning rotor with parametrically excited gyroscopic system. However, the original work of the method does not indicate that the method can be used to determine the stability of gyroscopic system. This paper intends to highlight the differences in the results using Bolotin's method. As counter examples, dynamic stability of a special case of the parametrically excited gyroscopic system, a simple gyroscopic rotor under parametric excitation and a rotating Timoshenko shaft subjected to periodic axial forces varying with time are analyzed and discussed by using Bolotin's method and Floquet's method respectively to indicate the differences. The causation of these differences is attributed to the differences in the assumptions of Bolotin's and Floquet's methods as that the assumption of Floquet multipliers in Bolotin's method cannot be satisfied for the gyroscopic system. In this paper it has been shown that the Bolotin's method will result with the enlargement of the instability region for the gyroscopic system, which may contradict the results based upon the Floquet's method. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|