等效线化方法分析亚音速壁板非线性极限环颤振  

Analysis of nonlinear limit cycle flutter of a subsonic plate based on equivalent linearized method

作　　者：唐怀平[1] 杨翊仁[1] 

机构地区：[1]西南交通大学力学与工程学院,四川成都610031

出　　处：《振动工程学报》2015年第5期748-753,共6页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(11302183;11072204;11102170;11102172);中央高校基本科研业务费专项资金资助项目(2013TD0004)

摘　　要：研究了受集中质量与非线性运动约束联合作用下的二维亚音速壁板的极限环颤振问题。采用Galerkin方法将非线性壁板运动方程离散为常微分方程组。分析了集中质量大小及其位置对壁板系统失稳特性的影响;采用等效线化方法研究了系统的分叉特性及极限环颤振稳定性。结果表明:系统会产生颤振失稳,质量块的大小及其位置对颤振临界速度有着重要的影响;系统会经历超临界的Hopf分叉而处于稳定的极限环运动;等效线化方法可在一定范围内较为精确地对极限环稳定性及其幅值进行判定。The limit cycle flutter of a subsonic plate with a concentrated mass and subjected to nonlinear motion constraints is addressed in this paper.The Galerkin method is used to transfer the partial differential equation of motion of the plate to a set of ordinary differential equations.The theoretical analysis of the bifurcations and the stabilities of the limit cycles are conducted with the help of the equivalent linearized method.Results show that the system undergoes flutter instability;the mass and its location has significant effect on the flutter critical dynamic pressure;the system undergoes stable limit cycle oscillations（LCO）due to the supercritical Hopf bifurcation;the results obtain by equivalent linearized method are in good agreement with the numerical ones.

关 键 词：壁板 亚音速流 等效线化 Hope分叉 极限环颤振 

分 类 号：U270.11[机械工程—车辆工程]