高速旋转状态下汽车弧齿锥齿轮的动力学模态分析
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摘要
在Pro/E和ANSYS软件环境下,分别建立了汽车主减速器弧齿锥齿轮的三维几何模型和动力学模态分析有限元模型,进而对静止状态和高速旋转状态下的齿轮进行了模态分析,得到了各阶固有频率和振型。结果表明,在高速旋转状态下,齿轮由于离心弹性变形而产生"离心刚化效应",从而改变了齿轮的模态特性:随着转速的增加,轮齿离心弹性变形量和各阶固有频率均增大,且某些振型也与静止状态下的不同。
The 3D geometric model and FE model for dynamic modal analysis of automotive spiral bevel gears are established with software Pro/E and ANSYS respectively.Then modal analyses on gears in both static state and high-speed rotation state are performed and the natural frequencies and the mode shapes in different orders are obtained.The results show that in high-speed rotation state,the centrifugal stiffening effect occurs due to the centrifugal elastic deformation of gear teeth,leading to the change in modal characteristics of gears.With the rise of rotational speed,the centrifugal elastic deformation of gear teeth and the natural frequency of gears in different orders increase and some of the mode shapes differ from that in static state.
The 3D geometric model and FE model for dynamic modal analysis of automotive spiral bevel gears are established with software Pro/E and ANSYS respectively.Then modal analyses on gears in both static state and high-speed rotation state are performed and the natural frequencies and the mode shapes in different orders are obtained.The results show that in high-speed rotation state,the centrifugal stiffening effect occurs due to the centrifugal elastic deformation of gear teeth,leading to the change in modal characteristics of gears.With the rise of rotational speed,the centrifugal elastic deformation of gear teeth and the natural frequency of gears in different orders increase and some of the mode shapes differ from that in static state.
引文
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[3]Lin J,Parker R G.Sensitivity of Planetary Gear Natural Frequen-cies and Vibration Modes to Model Parameters[J].Journal ofSound and Vibration,1999,288(1):109-128.
[4]周立峰,朱如鹏.基于ANSYS的直齿圆柱行星齿轮系统的模态分析[J].机械工程师,2009(1):67-68.
[5]Li S.Experimental Investigation and FEM Analysis of ResonanceFrequency Behavior of Three-dimensional,Thin-walled Spur Gearswith a Power-circulating Test Rig[J].Mechanism and MachineTheory,2008,43(8):934-963.
[6]Li S.Centrifugal Load and Its Effects on Bending Strength andContact Strength of a High Speed Thin-walled Spur Gear with OffsetWeb[J].Mechanism and Machine Theory,2008,43(2):217-239.
[7]李杰,项昌乐.高速旋转状态下的齿轮非线性模态分析[J].现代制造工程,2007(7):77-79.
[8]姜雪洁.离心力的刚化效应[J].青岛科技大学学报,2003,24(6):540-541.
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[10]管迪华.模态分析技术[M].北京:清华大学出版社,1996.
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