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Journal of Applied Mathematics
Volume 2013, Article ID 802546, 9 pages
Research Article

Path Transmissibility Analysis Considering Two Types of Correlations in Hydropower Stations

School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Room 330, Building 3 of Lab, Dalian, Liaoning Province 116023, China

Received 16 May 2013; Accepted 4 August 2013

Academic Editor: Daniel Dias-da-Costa

Copyright © 2013 Baoping Zhi and Zhenyue Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new vibration model is built by introducing the head-cover vibration transfer path based on a previous analysis of the vertical vibration model for hydropower station units and powerhouses. This research focuses on disturbance- and parameter-related transfer paths in a practical situation. In a complex situation, the application of the stochastic perturbation method is expanded using an algebra synthesis method the Hadamard product, and theoretical analyses, and numerical simulations of transfer paths in the new vibration model are carried out through the expanded perturbation method. The path transfer force, the path transmissibility, and the path disturbance ranges in the frequency domain are provided. The results indicate that the methods proposed in this study can efficiently reduce the disturbance range and can accurately analyze the transfer paths of hydraulic-source vertical vibration in hydropower stations.