摘要
使用一般壳体理论及ALE描述下叶片近壁区流动控制方程,在正交流线坐标系中建立了描述混流式水轮机叶片振动的一般方程,并将叶片在流向与展向的振动对横向振动的影响表示为参数函数,构造出描述叶片横向振动的Mathieu方程,从而可利用数学上熟知的Mathieu方程的特性分析叶片的横向振动。
A general shell theory in an orthogonal streamline coordinate system was used to establish a mathematical modeling to describe the flow-induced vibrations of Francis hydro turbine blades. The motion formulation of the transverse vibration in steady flow was found to be analytically expressed with the Mathieu equation. The presented way to deal with the predominant vibration of the blades is convenient to be used in mathematical analysis of the transverse blade vibration. A simple analysis example indicates the vibrating complexity of the blades.
出处
《水电能源科学》
2004年第3期78-81,共4页
Water Resources and Power
基金
国家自然科学基金重大基础研究计划项目(90210005)。
关键词
混流式水轮机
水轮机叶片
流激振动
Francis hydro turbine
turbine blade
fluid-induced vibrations
