为分析伞式混流式水轮发电机组的径向振动特性，探讨频域内径向不平衡力在多路径中的梯度排序，本文基于振动基本理论和一般概率摄动法，应用Kronecker代数、矩阵微分理论等方法，在考虑质量、阻尼、刚度等参数不确定性时，引入考虑扰动量和参数间相关性的混合型扰动因素，采用混合型加性等价形式的随机参数结构分析方法对径向振动传递路径进行理论分析和数值计算，通过算例分析，在频域内给出径向振动路径传递率和传递率方差及其范围，明确了方法的可行性，为分析机组传递路径及控制水电站振动问题提供的技术支撑。
Abstract
In order to analyze the radial vibration characteristics of an umbrella hydro-generator unit with a Francis turbine, and study the multipath gradient ordering of unbalanced radial force in frequency domain, the theoretical analysis and numerical calculation on the transfer path of radial vibration were carried out by using the random parameters structure analysis method in mixed additive and equivalent form, based on the basic theory of vibration and generalized probabilistic perturbation method, applying the Kronecker algebra, matrix calculus and other methods, and introducing mixed disturbance factors which considered the correlation between the disturbance quantity and parameters. The uncertainties of parameters such as mass, damping, and stiffness were considered simultaneously. Through an example, the transmissibility and transmissibility variance of the radial vibration path as well as their ranges were given in frequency domain. The feasibility of the method was clarified. The study offers technical support for the unit transmission path analysis and the vibration control of hydropower stations.
关键词
混流式水轮机 /
径向振动 /
导轴承 /
Kronecker代数 /
随机参数
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Key words
Francis turbine /
radial vibration /
guide bearing /
Kronecker algebra /
random parameters
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