基于Hertz接触理论的带冠叶片碰撞振动数值仿真研究

摘要

针对谐波激励载荷下的旋转自带冠叶片,采用Hertz接触理论描述叶片的冠间碰撞行为,建立了叶片接触碰撞状态下的非线性动力学模型,利用Galerkin模态截断获得了n阶运动微分方程.利用接缝分析算法为基础编制的计算程序,对自带冠叶片的接触碰撞进行了数值仿真.利用poincare映射等方法分析了叶片振动中蕴含的倍周期、概周期和混沌等非线性特性.%The nonlinear dynamic model of turbine shrouded blade is presented,which is considered the external excitation. Hertz contact force is employed to describe the impact between two tips. Galerkin method is used to disperse the motion differential equations. In numerical method,the algorithm of Joint method is given and the nonlinear dynamic characteristics such as periodic motions and chaos are discussed by a numerical example.