Flutter analysis of rotating beams with elastic restraints  

作　　者：Lüsen WANG Zhu SU Lifeng WANG 

机构地区：[1]State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第5期761-776,共16页应用数学和力学（英文版）

基　　金：Project supported by the National Science Fund for Distinguished Young Scholars(No.11925205);the National Natural Science Foundation of China(Nos.51921003 and 51805250);the Natural Science Foundation of Jiangsu Province of China(No.BK20180429)。

摘　　要：The aeroelastic stability of rotating beams with elastic restraints is investigated.The coupled bending-torsional Euler-Bernoulli beam and Timoshenko beam models are adopted for the structural modeling.The Greenberg aerodynamic model is used to describe the unsteady aerodynamic forces.The additional centrifugal stiffness effect and elastic boundary conditions are considered in the form of potential energy.A modified Fourier series method is used to assume the displacement field function and solve the governing equation.The convergence and accuracy of the method are verified by comparison of numerical results.Then,the flutter analysis of the rotating beam structure is carried out,and the critical rotational velocity of the flutter is predicted.The results show that the elastic boundary reduces the critical flutter velocity of the rotating beam,and the elastic range of torsional spring is larger than the elastic range of linear spring.

关 键 词：rotating beam modified Fourier series method elastic restraint FLUTTER 

分 类 号：O323[理学—一般力学与力学基础]