摘要
将叶轮机叶片简化为悬臂薄板,考虑阻尼的作用,并将叶片所处的环境噪声和空气阻力考虑为简谐载荷。基于Von-karman板的控制理论,建立了考虑阻尼的叶片振动控制方程组。选择一组满足叶片边界条件的模态函数,运用Galerkin法将方程离散,再采用多尺度法对处理后的非线性常微分方程求解。数值分析的结果表明,在线性情况下叶片振动的拍现象比非线性振动更密集,非线性振动的幅频特性曲线存在多值性和跳跃性,叶片的粘性阻尼参数对叶片非线性振动的幅频曲线有影响。
The model of a turbine blade was established for non-linear vibration analysis. In this model, the blade was simplified as a cantilever plate with the damping effect considered, and the air resistance and environment noise were regarded as a harmonic load. Based on the Von-karman board control theory, the governing equations of forced vibration with sticky damping were established. A group of modal functions which meet the boundary conditions of the blade was chosen. Adopting the Galerkin method, the governing equations were discretized. Using multi-scale method, these equations were solved. Results of the numerical analysis show that the pat phenomenon in non-linear vibration is thinner than that in linear vibration. The non-linear amplitude-frequency response curve is multi-valued and has jumping characteristics. And the damping parameter of the blade has some influence on its amplitude-frequency response curve.
出处
《噪声与振动控制》
CSCD
2013年第5期15-18,63,共5页
Noise and Vibration Control
基金
国家自然科学基金编号(11172093
11032004)
关键词
振动与波
叶片
阻尼
振动
非线性
vibration and wave
blade
damping
vibration
non-linearity
