作　　者： ; ; ;

机构地区： 北京工业大学机械工程与应用电子技术学院

出　　处： 《动力学与控制学报》 2012年第3期213-221,共9页

摘　　要： 论文研究了航空发动机叶片的非线性振动问题,将叶片简化为功能梯度材料薄壁悬臂梁,考虑几何大变形的影响,基于一阶活塞气动力理论,利用Hamilton原理建立了叶片的非线性偏微分运动方程.综合运用Galerkin方法、多尺度方法和数值方法对叶片模型进行了非线性动力学分析,通过相图、波形图和频谱图分析了不同气流流速情况下旋转叶片的动态响应.结果表明:随着气流流速的增加,系统呈现倍周期运动和混沌运动等多种复杂动力学行为. The nonlinear vibration responses of rotating blades used in turbo-machinery under aerodynamic pressure loadings were investigated. Firstly, the rotating blade was settled as a rotating cantilever beam made by functional graded material. Then, the effect of geometric large deformation and aerodynamic force was taken into account in dynamic analysis. The nonlinear governing partial differential equations of the blade were established by using Hamiltonian Principle. The Galerkin method and the method of multiple scales were utilized to analyze the nonlinear dynamics of the blade. By using numerical simulation, the vibration responses of the blade under different air flow velocities were obtained. The results show that there exist complicated nonlinear behaviors in blade system such as periodic motions and chaotic motions.

关 键 词： 旋转叶片 非线性动力学 动态响应 混沌

领　　域： [理学] [理学]