非惯性参考系下旋转叶片系统的动力学分析

The Dynamical Vibration of Blade In Non-Inertia Reference Frame

利用Euler-Lagrange方程,对旋转叶片进行动力学分析,根据刚体和弹性体耦 合运动的关系,建立了叶片的动力学方程,并得出方程中的刚度阵是一个时变矩阵．利 用Matlab语言对叶片的位移响应进行仿真,揭示了刚体运动对弹性体位移响应的影响规律, 证明了叶片动力学方程的正确性．

The paper uses EuIer-Lagrange equations to establish the dynamical quations of the coupled vibrations of rigid body and elastic body.The stiffness matrix changes with time ,Meanwhile the paper uses kinetic emulation software Matlab to simulate the vibration of the blade.Thus the coupling relations between movement of rigid body and elastic body is reveled through an example.