An efficient method for vibration and stability analysis of rectangular plates axially moving in fluid  

作　　者：Yanqing WANG Han WU Fengliu YANG Quan WANG 

机构地区：[1]Department of Mechanics,College of Sciences,Northeastern University,Shenyang 110819,China [2]Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines,Northeastern University,Shenyang 110819,China [3]Department of Civil and Environmental Engineering,Shantou University,Shantou 515063,Guangdong Province,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第2期291-308,共18页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(Nos.11922205 and 11672071);the Liaoning Revitalization Talents Program(No.XLYC1807026);the Fundamental Research Funds for the Central Universities(No.N2005019)。

摘　　要：An efficient method is developed to investigate the vibration and stability of moving plates immersed in fluid by applying the Kirchhoff plate theory and finite element method.The fluid is considered as an ideal fluid and is described with Bernoulli’s equation and the linear potential flow theory.Hamilton’s principle is used to acquire the dynamic equations of the immersed moving plate.The mass matrix,stiffness matrix,and gyroscopic inertia matrix are determined by the exact analytical integration.The numerical results show that the fundamental natural frequency of the submersed moving plates gradually decreases to zero with an increase in the axial speed,and consequently,the coupling phenomenon occurs between the first-and second-order modes.It is also found that the natural frequency of the submersed moving plates reduces with an increase in the fluid density or the immersion level.Moreover,the natural frequency will drop obviously if the plate is located near the rigid wall.In addition,the developed method has been verified in comparison with available results for special cases.

关 键 词：moving plate fluid-structure interaction finite element VIBRATION stability gyroscopic dynamic system 

分 类 号：O321[理学—一般力学与力学基础]