变速旋转圆柱薄壳动力稳定性研究  

STUDY ON DYNAMIC STABILITY OF THIN CYLINDRICAL SHELLS WITH VARIABLE ROTATION SPEED

作　　者：韩勤锴[1] 秦朝烨[1] 褚福磊[1] Han Qinkai;Qin Zhaoye;Chu Fulei(Department of Mechanical Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学机械系,北京100084

出　　处：《动力学与控制学报》2022年第2期62-70,共9页Journal of Dynamics and Control

基　　金：国家科技重大专项(2017IV00020039);国家自然科学基金面上项目(11872222)。

摘　　要：本文开展了变速旋转圆柱薄壳动力稳定性研究.基于Donnell薄壳理论建立同时考虑变转速和周期轴向力的圆柱壳体振动微分方程;采用多尺度方法,推导系统主参数不稳定区和组合不稳定区边界的解析表达式;分别探讨仅考虑周期轴向力、仅考虑变转速以及同时考虑两种时变因素时,系统主参数不稳定区和组合不稳定区的变化规律;通过与文献结果以及数值结果的对比,验证了解析结果的准确性.The dynamic stability of thin shell with variable speed rotation is studied in this paper.Based on Donnell thin shell theory,vibration differential equation of cylindrical shell is established,which considers both variable speed and periodic axial force.The analytical expressions for boundaries of both primary and combined instability regions are derived by multiscale method.Variations of instability boundaries with excitation frequency and amplitude are discussed in three cases,i.e.,only periodic axial force,only variable speed rotation and both two time-varying factors.The analytical results are verified by comparing with literature results and numerical results.

关 键 词：圆柱薄壳 动力稳定 变速旋转 周期轴向力 多尺度法 

分 类 号：TH133.2[机械工程—机械制造及自动化]