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] 070101[理学-基础数学] 

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 *** associated conventional model is provided for comparison *** features of the proposed mathematical model are discussed based on some selected coordinate *** frequencies and modes are investigated to show the influences of centrifugal terms on the stability of the gyroscopic *** results show that the novel model proposed may lose stability due to the centrifugal *** is also found that the backward precession mode can be changed into a forward one beyond the critical rotating velocity.