非惯性系下旋转柔性叶片的动力学分析
Keywords: 旋转柔性叶片 刚-柔耦合 哈密顿原理 动力刚化
Abstract:
旋转柔性叶片是汽轮机关键零部件,针对叶片振动损伤问题,考虑经历大范围运动的柔性叶片刚性运动与弹性变形运动之间的相互耦合,应用哈密顿原理建立了旋转柔性叶片非线性动力学控制方程.考虑旋转离心惯性力的影响以及轴向变形与横向变形之间的耦合,基于假设模态法对方程进行离散,研究了不同转速下梁端部位移的响应.研究结果表明,刚性旋转运动对柔性叶片端部位移的响应具有明显的影响,并且由于离心力的存在,出现了动力刚化现象,文中所用方法及数值仿真结果可用于研究旋转柔性叶片的振动失效问题.
| [1] | 5. ZHANG D J.HUSTON R L On dynamic stiffening of flexible bodies having high angular velocity 1996(3)
|
| [2] | 6. MAYO J.DOMINGUEZ J.SHABANA A A Geometrically nonlinear formulation of beam in flexible multibody dynamics 1995(117)
|
| [3] | 7. 蔡国平.洪嘉振 旋转运动柔性梁的假设模态方法研究 [期刊论文] -力学学报2005(1)
|
| [4] | 8. ZHONG H.GUO Q Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method 2003
|
| [5] | 9. 郭强.刘曦.钟宏志 Nonlinear Vibrations of Timoshenko Beams with Various Boundary Conditions [期刊论文] -清华大学学报(英文版)2004(2)
|
| [6] | 1. WANG J T S.MAHRENHOLTZ O.BOHM J Extended Galerkin’s method for rotating beam vibrations using Legendre polynomials 1976(1)
|
| [7] | 2. SUBRAHMANYAM K B.KAZA K R V Vibration and buckling of rotating,pretwisted preconed beams including Coriolis effects 1986
|
| [8] | 3. YOKOYAMA T Free vibration characteristics of rotation Timoshenko beam 1988
|
| [9] | 4. KANE T R.RYAN R R.BANERJEE A K Dynamics of a cantilever beam attached to a moving base 1987(2)
|
Full-Text
