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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

张勇, 赵岩, 欧阳华江. 基于Bayes FFT的螺栓连接结构模型更新方法[J]. 应用数学和力学, 2020, 41(8): 866-876. doi: 10.21656/1000-0887.400373
引用本文: 张勇, 赵岩, 欧阳华江. 基于Bayes FFT的螺栓连接结构模型更新方法[J]. 应用数学和力学, 2020, 41(8): 866-876. doi: 10.21656/1000-0887.400373
ZHANG Yong, ZHAO Yan, OUYANG Huajiang. Model Updating for Bolted Structures Based on the Bayesian FFT Method[J]. Applied Mathematics and Mechanics, 2020, 41(8): 866-876. doi: 10.21656/1000-0887.400373
Citation: ZHANG Yong, ZHAO Yan, OUYANG Huajiang. Model Updating for Bolted Structures Based on the Bayesian FFT Method[J]. Applied Mathematics and Mechanics, 2020, 41(8): 866-876. 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
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

Model Updating for Bolted Structures Based on the Bayesian FFT Method

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

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