Topics in Model Validation and Uncertainty Quantification, Volume 4
Topics in Model Validation and Uncertainty Quantification, Volume 4
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模型验证和不确定性量化主题，第 4 卷
DOI：
10.1007/978-1-4614-2431-4_4
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Lecomte C
中科院分区：
文献类型：
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作者：
Lecomte C
本文讨论了用贝叶斯方法和马尔可夫链蒙特卡罗（MCMC）方法估计结构损伤的位置（和性质）。人们普遍认为，考虑结构动态系统的不确定性可能是必要的，例如从经济角度来看（“如果只影响我们生产的一小部分车辆，增加昂贵的阻尼是否有意义？”）或用于关键的安全目的（“由于叶片盘失谐导致飞机发动机故障的风险是什么？”）。贝叶斯方法的使用似乎是一个可行的方法来获得这样的不确定系统的参数的推断。在这里，我们报告的数值实验上使用MCMC定位的频率依赖性损伤的一维结构。传递函数测量受高斯过程测量误差的影响。由此产生的系统矩阵的特定结构，然后被视为具有一个特殊的形式，这导致在半解析解的方法是可用的，大大降低了计算成本。我们讨论了贝叶斯模型和MCMC计算的特点和效率，并强调了结构动力系统分析中的功能，如高频多模态。
This paper concerns the estimation of the location (and properties) of damage in structures using Bayesian methods and Markov Chain Monte Carlo (MCMC). It is widely recognised that the consideration of uncertainty in structural dynamic systems may be essential, for example from an economic point of view (“Does is make sense to add expensive damping if it will only affect a small proportion of the vehicles we produce?”) or for critical safety purposes (“What is the risk of failure of an airplane engine due to bladed disk mistuning?”). The use of Bayesian methods appears to be a viable approach to obtain inferences about the parameters of such uncertain systems. Here we report on numerical experiments on the use of MCMC to locate a frequency dependent damage in a one-dimensional structure. Transfer function measurements subject to a Gaussian process measurement error are available. The particular structure of the resulting system matrices is then seen to have a special form which results in a semi-analytic solution method being available and a much reduced computational cost. We discuss the characteristics and efficiency of the Bayesian model and MCMC computation and highlight features in the analysis of structural dynamic systems such as higher-frequency multimodality.