含几何缺陷旋转FG-CNTRC梁非线性自由振动分析  

Nonlinear Free Vibration of Rotating FG-CNTRC Beams with Geometric Imperfections

作　　者：林百川 覃健桂 莫新娣 LIN Baichuan;QIN Jiangui;MO Xindi(College of Civil Engineering and Architecture,Guilin university of technology,Guilin 541004,Guangxi,China;College of Science,Guilin University of Technology,Guilin 541004,Guangxi,China)

机构地区：[1]桂林理工大学土木与建筑工程学院,广西桂林541004 [2]桂林理工大学理学院,广西桂林541004

出　　处：《噪声与振动控制》2024年第6期91-96,共6页Noise and Vibration Control

基　　金：广西高校中青年教师科研基础能力提升资助项目(2023KY0261,2023KY0271);四川省自然科学基金资助项目(22NSFSC0275)。

摘　　要：以含有初始几何缺陷的功能梯度碳纳米管增强旋转梁的非线性自由振动行为为对象开展研究。根据Euler–Bernoulli梁理论,引入von Kármán几何非线性假设,利用Hamilton原理,推导出系统的非线性偏微分控制方程。随后,采用Galerkin法,将控制方程转化为常微分方程,并利用变分迭代法,求得系统非线性频率的解析解。最后,通过数值结果,讨论材料属性、转速、轮毂半径和几何缺陷等因素对结构非线性频率的影响。The nonlinear free vibration behaviors of rotating functionally graded carbon nanotube-reinforced composite(FG-CNRC)beams with geometric imperfections was investigated.Firstly,according to Euler-Bernoulli beam theory along with von-Kármán geometric nonlinearity assumption,the nonlinear partial differential governing equation was derived by means of Hamilton′s principle.Then,the Galerkin method was applied to get the discrete ordinary equation.Next,the variational iteration method was employed to get the analytical solution of the system nonlinear frequency.Finally,influence of FG-CNRC property,rotating speed,hub radius and geometric imperfection on the nonlinear frequency was discussed.

关 键 词：振动与波 旋转梁 功能梯度碳纳米管增强复合材料 几何缺陷 变分迭代法 非线性频率 

分 类 号：O322[理学—一般力学与力学基础]