基于Bayes FFT的螺栓连接结构模型更新方法

张勇; 赵岩; 欧阳华江

doi:10.21656/1000-0887.400373

基于Bayes FFT的螺栓连接结构模型更新方法

doi: 10.21656/1000-0887.400373

¹大连理工大学工业装备结构分析国家重点实验室; 工程力学系, 辽宁大连 116023;²利物浦大学工程学院, 利物浦 L693BX, 英国

基金项目: 国家自然科学基金（11772084；11672052）

详细信息

作者简介:
张勇（1991—），男，博士生(E-mail: 404247432@qq.com);赵岩（1974—），男，教授（通讯作者. E-mail: yzhao@dlut.edu.cn）.

中图分类号: O324
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- 被引次数: 0
出版历程
- 收稿日期: 2019-12-16
- 修回日期: 2020-03-05
- 刊出日期: 2020-08-01

Model Updating for Bolted Structures Based on the Bayesian FFT Method

¹State Key Laboratory of Structural Analysis for Industrial Equipment; Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaolin 116023, P.R.China;²School of Engineering, University of Liverpool, Liverpool L693BX, the UK

Funds: The National Natural Science Foundation of China（11772084；11672052）

摘要

摘要: 提出了一种基于Bayes FFT的螺栓连接结构模型更新方法.该方法中，通过弹簧和薄层单元模拟螺栓连接，借助子结构技术建立组合结构动力学方程.进一步地，在Bayes理论框架下，由测试时域信号FFT变换系数的统计特征构造模型更新参数的后验概率密度函数，以其负对数似然函数极值为优化目标进行参数更新，采用最大后验估计得到最优估计值，并通过后验概率分布渐近于Gauss分布的性质进行参数的不确定性量化.在数值算例中，考虑随机载荷作用下组合悬臂梁结构的模型更新问题，针对两种不同连接模型化方式给出了更新参数的不确定量化，并通过测量功率谱和修正功率谱对比，验证了所提出方法的正确性和有效性.
- 螺栓连接结构 /
- 模型更新 /
- Bayes FFT方法 /
- 不确定量化
Abstract: A model updating method for bolted joints based on the Bayesian fast Fourier transform (FFT) method was proposed. In this method, the bolted joint was simulated with spring and thin-layer elements, and the dynamic equations for the composite structure were established with the sub-structure technique. The asymptotic distribution of the scaled FFT of the measured data in the time domain was used to formulate the posterior probability distribution function of the bolted parameters, and its negative log function was taken as the objective to conduct the parameter updating. The maximum posterior estimation generates the optimal estimation, and the uncertainty of the parameters was quantified with the asymptotic property of the posterior probability distribution. The developed method was validated in the model updating of a composite cantilever beam under stochastic excitation, where two kinds of jointed modeling methods were given. The comparison between the measured power spectrum and the updated power spectrum demonstrates the effectiveness of the developed method.
- bolted joint /
- model updating /
- Bayesian FFT method /
- uncertainty quantification

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参考文献(17)

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