轴向约束二维亚音速悬臂板的非线性颤振研究  

Nonlinear Flutter of a Two-Dimension Panel with Axial Displacement Constraints in Subsonic Flow

作　　者：龚庆[1] 杨翊仁[1] 李鹏[1] 

机构地区：[1]西南交通大学力学与工程学院,成都610031

出　　处：《重庆理工大学学报（自然科学）》2013年第9期45-48,共4页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(10972185);中央高校基本科研业务费专项资金资助项目(201210010041)

摘　　要：研究了受轴向位移约束的二维悬臂板在亚音速流中的非线性颤振行为。采用微分求积法(DQM)对运动微分方程进行离散,通过龙格库塔法对系统的非线性响应进行数值模拟,并依据分岔图、平面相图对本系统的非线性颤振响应进行分析。结果表明:悬臂壁板在亚音速气流中会出现复杂的非线性颤振运动。Nonlinear flutter of a two-dimension panel with axial displacement constraints in subsonic flow is studied in this paper. The Differential Quadrature Method（DQM） is used to derive the discrete form of differential equation of the panel motion, and then Runge-Kutta method is adopted to conduct numerical simulation. The nonlinear responses of the panel were presented in bifurcation diagrams, phase plots and Poincare maps. Results show that the system can occur complex nonlinear dynamics in subsonic flow.

关 键 词：亚音速流 轴向约束 微分求积法 颤振 

分 类 号：O32[理学—一般力学与力学基础]