考虑弯扭耦合旋转叶片的动力学分析

The Dynamical Analysis of a Rotating Blade Considering the Coupling Vibration of Bending and Twisting

应用拉格朗日方程建立了旋转柔性叶片非线性动力学控制方程.文中考虑了由于质量偏心所造成的弯曲与扭转振动的耦合,并假设了弯曲与扭转的一价振型对方程进行了离散,通过数值仿真给出了旋转运动所产生的叶片端部弯曲位移及转角位移,揭示了在叶片扭转刚度较大时,转角位移非常小.本文所建立的动力学方程可用于考虑弯扭耦合时实际旋转叶片的动力学分析.

Non-linear dynamical control equations of a rotating flexible beam was presented by using Lagrange equations in the paper.The coupling vibration of bending and twisting resulted from the mass eccentricity was considered.Assumed first mode of bending and twisting be used to discrete the equations.The displacement and angular displacement of the blade tip resulted from the angular motion were given by using numerical simulation.It is shown that the angular displacement is very small when the twisting rigid is relatively large.The equations in this paper can be used in the dynamical analysis of practical blade considering the coupling vibration of bending and twisting.