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基于响应面方法的突风机构有限元模型修正
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摘要
为提高突风机构模态分析与模态试验的相关性,使用响应面方法对有限元模型多个参数进行优化,实现模型修正。首先使用有限元模型进行模态分析,提取整体模态;其次,采用移动传感器方法对大型装配体进行整体模态试验,通过模态判据准则检验模态试验结果、模态参与因子确定主要整体模态;再次,基于有限元模型误差分析,确定对主要部件分别采用不同材料修正参数,通过中心复合试验设计确定样本空间,使用多目标响应面方法对样本进行回归分析,在回归分析的响应面内对待修正参数进行非线性约束优化,得到最优解;最后,使用修正参数重新进行模态分析实现模型确认,并进行动力学计算,与实际测试结果对比。结果表明,修正后的模态分析与模态试验结果相关性提高,前三阶整体模态频率误差均值由9.71%减小至0.73%,振型相关性由0.74提升至0.89。
In order to improve the correlation of modal analysis and modal test for the blade swing mechanism, the response surface method was used to optimize multi-parameters of finite element model for model updating. First, mode analysis was calculated to get mode information of the whole assembly. Second, mode test was present using MIMO method. For validating test result, mode assurance criterion was introduced, while mode participation factor confirmed which modes should be the main mode. Third, based on finite element error analysis, some material parameters of parts were confirmed to be mode updating targets. The samples, which were generated by central composite test design, carried out regression analysis though response surface models in which mode updating targets were optimized. Finally, mode analysis was calculated in updated parameters to achieve model assurance. The results show that correlation of modal test and updated modal analysis are improved, the frequency error average of the first three modes is reduced to 0.73% from 9.71%, and mode shape MAC is improved to 0.89 from 0.74.
引文
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