摘要
以航空发动机压气机叶片为工程背景,将旋转叶片简化为带有预安装角、扭转角的碳纳米管增强复合材料(cabon nanotube reinforced composite,CNTRC)悬臂薄板结构。通过微分几何理论和广义混合率模型,对CNTRC旋转叶片的几何参数和物性参数进行计算。考虑离心力的影响,基于Kirchoff假设和Novozhilov理论,采用Hamilton原理建立了CNTRC旋转叶片的偏微分动力学方程。采用Galerkin法将偏微分运动方程离散为常微分方程,并研究了CNTRC旋转叶片的自由振动特性。详细分析了预安装角、扭转角、碳纳米管体积率、碳纳米管排布形式、转速以及轮毂半径对CNTRC旋转叶片固有频率的影响。
Taking aero-engine compressor blades as the engineering background,the rotating blades were simplified into carbon nanotube reinforced composite(CNTRC)cantilever thin plates with pre-installation and torsion angles.The geometrical and physical parameters of CNTRC rotating blades were calculated by differential geometry theory and the extended rule of mixture.Considering the influence of centrifugal force,based on Kirchhoff hypothesis and Novozhilov theory,the partial differential kinetic equations of CNTRC rotating blades were established by Hamilton's principle.The partial differential equations of motion were discretised into ordinary differential equations by the Galerkin method.The free vibration characteristics of the CNTRC rotating bladeswere investigated.The effects of pre-installation angle,torsion angle,carbon nanotubevolume fractions,carbon nanotubedistributions,rotational speed,and hub radius on the natural frequencies of CNTRC rotating blades were analysed in detail.
作者
王文琪
武志花
田泽东
张云枫
WANG Wenqi;WU Zhihua;TIAN Zedong;ZHANG Yunfeng(School of Mechanical Engineering,Tiangong University,Tianjin 300387,China;Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology,Tianjin 300387,China)
出处
《振动与冲击》
北大核心
2025年第16期329-338,共10页
Journal of Vibration and Shock
基金
国家自然科学基金项目(12402023)。
关键词
碳纳米管
旋转叶片
动力学建模
自由振动
carbon nanotubes
rotating blades
dynamic modeling
free vibration
