本文在以往水力振源竖向振动分析模型的基础上引入顶盖子系统,顶盖是水力振源向固定结构传递振动的主要路径之一。本文主要对顶盖系统的水轮机竖向振动传递路径进行了研究。该研究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,在考虑包括质量、阻尼、刚度等传递路径参数的不确定性因素下,对竖向振动传递路径进行了理论分析和数值计算,在频域内给出了水力振源竖向振动的路径传递率和传递率方差,据此可为更全面的分析水电站竖向振动的传递路径,同时为解决水电站振动传递路径系统分析提供方便有效的解决思路。
To model vertical vibrations caused by hydraulic vibration sources, this study introduced into the models a head cover subsystem that is a major path for vibrations to transfer from the sources to the fixed structures. This paper analyzes the transfer paths in such a turbine system by applying the basic vibration theory, general probability perturbation, Kroneeker algebra, and matrix differential theory. Theoretical analysis and numerical simulations were made to consider uncertain factors in transfer paths, such as mass, damping and stiffness and to examine the transfer paths efficiency and its variance in frequency domain. Thus, this study provides an overall analysis and an efficient solution to vertical vibration transfer paths in hydropower station.