基于模态试验的对接圆柱壳结构有限元模型修正

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摘要壳体组合结构广泛应用于船舶、土木和航空航天等工程领域。为获得精确的对接圆柱壳结构动力学模型，采用基于数学模型的响应面法对有限元模型多个参数进行优化，实现有限元模型修正。本文通过模态试验获得对接圆柱壳结构的实验模态参数，采用模态置信度检验模态试验结果。利用ANSYS有限元软件对结构进行有限元模态分析，提取整体模态。通过中心复合设计方法获取样本点构造多项式响应面模型，采用决定系数和均方根误差检验响应面的拟合精度。响应面模型计算结果与试验结果的误差构造目标函数，多目标遗传算法用于优化响应面参数，最终将修正后的参数带入有限元模型得到修正模型。对比修正前后的模态频率，结果表明修正后得到的有限元模态频率与实测模态频率间相对误差明显减小，进而验证了基于响应面方法在对接圆柱壳有限元模型修正中的有效性。

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	魏莎1
	2
	郑冰月1
	张忠3
	李旭龙1
	陈立群1
	2

关键词 ：对接圆柱壳结构, 模态分析, 有限元模型修正, 响应面模型, 灵敏度分析

Abstract：Shell composite structures are widely used in marine engineering, civil engineering, aerospace engineering and other engineering fields. In order to obtain the accurate dynamic model of butted cylindrical shell structure, the response surface method based on mathematical model is used to optimize several parameters of the finite element model and realize the finite element model updating. Experimental modal parameters of butted cylindrical shell structures are obtained through modal test, and modal test results are verified by modal assurance criterion. The finite element software ANSYS is used to carry out finite element modal analysis and extract the whole modes. The polynomial response surface model is constructed by the central composite design method, and the fitting accuracy of the response surface model is determined by the determination coefficient and the root mean square error. The error between the response surface model calculation results and the test results is used to construct the objective function, and the multi-objective genetic algorithm is employed to optimize response surface parameters. Finally, modified parameters are brought into the finite element model to obtain the modified model. Compared with modal frequencies before and after the model updating, results show that relative errors between the obtained finite element modal frequencies and the measured modal frequencies are significantly reduced, which verifies the effectiveness of the response surface method in the finite element model updating of the butted cylindrical shell structure.

Key words： Butted cylindrical shell structure modal analysis finite element model updating response surface model sensitivity analysis

收稿日期: 2021-06-15 出版日期: 2022-09-15

引用本文:

魏莎1,2，郑冰月1，张忠3，李旭龙1，陈立群1,2. 基于模态试验的对接圆柱壳结构有限元模型修正[J]. 振动与冲击, 2022, 41(17): 9-17.
WEI Sha1,2, ZHENG Bingyue1, ZHANG Zhong3, LI Xulong1, CHEN Liqun1,2. Finite element model updating of butted cylindrical shell structure based on modal tests. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(17): 9-17.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I17/9

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