Modeling and Stability Analysis of a Flexible Rotor Based on the Timoshenko Beam Theory

被引：8
|
作者：
Zhang, Yongwang [1 ]
Yang, Xiaodong [1 ]
Mang, Wei [1 ]
机构：
[1] Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
来源：
ACTA MECHANICA SOLIDA SINICA | 2020年 / 33卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Spinning Timoshenko beam; Euler angles; Centrifugal terms; Stability analysis; FREE-VIBRATION ANALYSIS; CYLINDRICAL-SHELLS; DYNAMIC-RESPONSE; SHAFTS; AXIS;
D O I：
10.1007/s10338-019-00146-y
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Based on the Timoshenko beam theory, a novel mathematical model of a rotating shaft with centrifugal terms is developed by using Hamilton's principle and Euler angles. The associated conventional model is provided for comparison purpose. The features of the proposed mathematical model are discussed based on some selected coordinate systems. The frequencies and modes are investigated to show the influences of centrifugal terms on the stability of the gyroscopic systems. The results show that the novel model proposed may lose stability due to the centrifugal terms. It is also found that the backward precession mode can be changed into a forward one beyond the critical rotating velocity.
引用
收藏
页码：281 / 293
页数：13
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