%0 Journal Article %T 基于二阶摄动的水电机组振动传导研究 %A 职保平 %A 王宇 %A 秦净净 %A 于洋 %A 张宏战 %J 振动与冲击 %D 2019 %X 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。</br>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. %K 水电机组 %K 二阶摄动 %K 二阶偏导 %K 传导路径< %K /br> %U http://jvs.sjtu.edu.cn/CN/abstract/abstract8269.shtml