噪声与振动控制2016，Vol.36Issue(3)：6-10,15,6.DOI:10.3969/j.issn.1006-1335.2016.03.002
弹性支撑旋转Timoshenko梁动力学特性
Dynamic Characteristics of a Spinning Timoshenko Beam with Elastic Supports
摘要
Abstract
The dynamic characteristics of a spinning Timoshenko beam with elastic supports are investigated. The model of the beam is built and the rotatory inertia, shear effects and gyroscopic effects are considered. The governing equation is derived based on the extended Hamilton’s principle and is numerically solved by Chebyshev spectral method, and the natural frequencies and modals are obtained. It is shown that the gyroscopic effects and the support stiffness have a significant effect on the dynamic characteristics of the spinning Timoshenko beam. The natural frequencies are split into forward whirl speed and backward whirl speed, the distinction between the forward and backward whirl speeds becomes more obvious for higher order modes. The whirling speeds vary in step-wise with translational spring stiffness increasing and become stable when the stiffness exceeds a critical value. Two extremum values appear as the rotational stiffness increasing, the minimal value is smaller than the corresponding value under the free boundary condition and the maximum value is bigger than the corresponding value under the fixed boundary condition. The results can be used for designing and optimizing the mechanism of rotating beams.关键词
振动与波/旋转Timoshenko梁/弹性支撑/Chebyshev谱方法/陀螺效应/涡动频率Key words
vibration and wave/spinning Timoshenko beam/elastic supports/Chebyshev spectral method/gyroscopic effects/whirling speeds分类
数理科学引用本文复制引用
黄意新,赵阳,田浩,李慧通..弹性支撑旋转Timoshenko梁动力学特性[J].噪声与振动控制,2016,36(3):6-10,15,6.基金项目
国家重点基础研究发展973计划资助项目（2013CB733004) （）
