在处理参数结构动力响应问题时，现有的分析方法大多局限于一阶分析方法，若参数的不确定量稍大，如油膜等参数，采用一阶分析方法分析可能会失效。本文在一阶摄动方法的基础上，推导了以二阶偏导计算为基础的二阶摄动分析方法，能够计算频域内结构的振动传递效率，并通过简单算例、水电机组竖向振动传导分析算例验证了方法的可行性，但二阶摄动法在水电机组振动分析时，特别是在固有频率处，存在误差放大的问题。本文明确了二阶摄动法在水电机组振动传导研究的适用性，即仅适用于非固有频率处的大扰动项分析，为进一步的研究复杂结构的传导路径提供基础。
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.
关键词
水电机组 /
二阶摄动 /
二阶偏导 /
传导路径
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Key words
hydroelectric set /
second-order perturbation /
second-order partial derivative /
transfer path;
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