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