噪声与振动控制2018，Vol.38Issue(2)：18-21,49,5.DOI:10.3969/j.issn.1006-1355.2018.02.004
用动态刚度法分析旋转变截面梁横向振动特性
Analysis of Free Vibration of Rotating Tapered Beams using Dynamic Stiffness Method
摘要
Abstract
The dynamic stiffness method is employed to analyse the vibration problem for rotating tapered beams. Based on Euler-Bernoulli beam theory,the governing equation of free vibration of a rotating tapered beam is derived.Then the dynamic stiffness matrix is developed by using the dynamic stiffness method. Finally, the natural frequencies and corresponding mode shapes of the beam are obtained by using fzero function of MATLAB.The accuracy and effectiveness of the proposed method are verified by numerical calculations.Furthermore,the influences of the hub radius,rotating speed and taper ratio on the natural frequency are discussed in detail.关键词
振动与波/旋转变截面梁/欧拉-伯努利梁/固有频率/弯曲振动Key words
vibration and wave/rotating tapered beams/Euler-Bernoulli beam/natural frequency/bending vibration分类
数理科学引用本文复制引用
韩伟,毛崎波..用动态刚度法分析旋转变截面梁横向振动特性[J].噪声与振动控制,2018,38(2):18-21,49,5.基金项目
国家自然科学基金资助项目(11464031,51265037) （11464031,51265037）
航空科学基金资助项目(2015ZA56002) （2015ZA56002）
