1.Engineering Technology Research Center of Small Watershed Conservancy University of Henan Province,Kaifeng 475004,China;
2.Tibet Water Conservancy and Hydropower Planning & Design Institute,Lasa 850000,China;
3.Dalian University of Technology,Dalian 116024,China
Abstract：At present,most analysis methods for solving the problem of parameters’structural dynamical response are limited to the first-order.If the uncertainty of one parameter (such as oil seal,etc.) is slightly large,then the first-order analysis method does work.This paper derived a second-order perturbation analysis method with second-order partial derivative calculations on the basis of the first-order perturbation method.This method analyzed structural vibration transfer efficiency in the frequency domain.The method was validated through a simple example and a vertical vibration transfer analysis example.However,there was a big error,when using the second-order perturbation in the vibration analysis of hydroelectric units,especially in the natural frequency.This research provided a method to solving large disturbance parameters in hydropower station units' vibration analysis,but only for the non-natural frequencies.It also offers basis for further research on complicated structural transfer paths.
职保平12，王宇12，秦净净12，于洋2，张宏战3. 基于二阶摄动的水电机组振动传导研究[J]. 振动与冲击, 2019, 38(4): 45-49.
ZHI Baoping1,2,WANG Yu1,QIN Jingjing1,YU Yang1,ZHANG Hongzhan3. A study on the hydropower station units' vibration based on the second-order perturbation. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(4): 45-49.
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