基于Kriging模型和分层模型修正技术的结构边界条件识别

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (6) : 134-142.

论文

王一航，彭珍瑞

作者信息 +

Identification of structural boundary conditions based on the Kriging model and the hierarchical model updating technique

WANG Yihang，PENG Zhenrui

Author information +

文章历史 +

摘要

为得到能够准确反映结构装配关系的有限元模型边界条件，结合Kriging模型和分层模型修正技术，提出了一种结构边界条件识别方法。为削弱材料参数误差对边界条件识别的影响和改善修正不适定性，利用实测自由模态频率，修正有限元模型的材料参数；以修正后的模型为基础进行边界条件识别，通过灵敏度分析确定模型的待修正边界参数，采用拉丁超立方抽样(Latin hypercube sampling, LHS)进行试验设计，并以实测约束模态频率与Kriging模型预测频率的差值最小为目标函数，利用粒子群算法求解最优参数。某包装机械摇臂连杆结构的试验结果表明：与传统的边界条件识别方法相比，所提方法具有较好的识别效果，识别得到的边界参数、结构响应等与实际结构具有较好的一致性。

Abstract

To obtain the boundary conditions of the finite element model which can accurately reflect the structural assembly relationship, combining the Kriging model and the hierarchical model updating technique, an identification method of the structural boundary conditions is proposed. Firstly, to weaken the influence of material parameter errors on the identification of boundary conditions and improve ill-posedness, the material parameters of finite element model are updated by using the measured free mode frequencies; then, boundary condition identification is performed on the basis of the updated model, and sensitivity analysis is used to determine the boundary parameters to be updated. Latin hypercube sampling is used for experimental design, and the minimum error between the measured constrained modal frequencies and the predicted frequencies of the Kriging model is taken as the objective function, and the particle swarm optimization algorithm is used to obtain the optimal parameters. Finally, the test results of a rocker arm link structure in a packaging machine show that the proposed method has better identification result compared with the traditional boundary parameters identification methods, and that the obtained boundary parameters and structural responses can have the better consistency with the actual structure.

导出引用

王一航，彭珍瑞. 基于Kriging模型和分层模型修正技术的结构边界条件识别[J]. 振动与冲击, 2023, 42(6): 134-142

WANG Yihang，PENG Zhenrui. Identification of structural boundary conditions based on the Kriging model and the hierarchical model updating technique[J]. Journal of Vibration and Shock, 2023, 42(6): 134-142

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