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

作     者：Yongwang Zhang Xiaodong Yang Wei Zhang Yongwang Zhang;Xiaodong Yang;Wei Zhang

作者机构：Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical StructuresCollege of Mechanical EngineeringBeijing University of Technology100124 BeijingChina 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2020年第33卷第3期

页      面：281-293页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：the National Natural Science Foundation of China(Project Nos.11972050,11672007,11832002) Beijing Natural Science Foundation(Project No.3172003). 

主　　题：Spinning Timoshenko beam Euler angles Centrifugal terms Stability analysis 

摘      要：Based on the Timoshenko beam theory,a novel mathematical model of a rotating shaft with centrifugal terms is developed by using Hamilton^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.