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首页> 外文期刊>Arabian Journal for Science and Engineering >Limited Sensor-Based Probabilistic Damage Detection Using Combined Normal–Lognormal Distributions
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Limited Sensor-Based Probabilistic Damage Detection Using Combined Normal–Lognormal Distributions

机译：基于传感器的概率损坏使用组合的正常逻辑分布

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摘要

A methodology for probabilistic damage detection in Bayesian framework without any requirement of mode matching ispresented with detailed formulations on finite element model updating using incomplete modal data measured using limitednumber of sensors. Multiple modal measurement/data sets from multiple different sensor set-ups can be used in the proposedmethodology with further scope for using repeated measurements from any single sensor set-up. Combined normal–lognormalmultivariate distribution is considered in the Bayesian framework. Strictly positive random parameters are assigned withlognormal distribution, while the remaining random parameters are assigned with normal distribution. In this work, thenormal distribution is incorporated for the likelihood function, which consists of the eigen-system equation error and the errorbetween the systemmode shapes and experimental mode shapes.On the other hand, mass and stiffness parameters are assignedwith the lognormal distribution. Detailed formulations for probabilistic identification of changes/damages are also developed.The proposed approach is validated using a three-dimensional building structure considering multiple simulated damagecases. Performance in updating and damage detection is evaluated based on multi-set-up and multi-dataset considerations.Besides, the proposed technique is compared with the similar Bayesian updating solely based on normal distribution and theGibbs sampling.
机译：在没有模式匹配的任何要求的情况下，贝叶斯框架中概率损伤检测方法是一种方法使用有限的模态数据更新有限元模型更新的详细配方传感器数量。可以在提议中使用来自多个不同传感器设置的多个模态测量/数据集具有来自任何单个传感器设置的重复测量的进一步范围的方法。组合正常逻辑在贝叶斯框架中考虑了多变量分布。严格地分配了严格的随机参数Lognormal分布，而剩余的随机参数被分配正常分布。在这项工作中，正常分布被纳入似然函数，这包括eIgen-system方程误差和错误在SystemMode形状和实验模式之间形状之间。另一方面，分配质量和刚度参数利用逻辑分布。还开发了概率识别变更/损坏的详细配方。考虑多个模拟损坏，使用三维建筑结构验证所提出的方法案例。基于多建立和多数据集注意，评估更新和损坏检测中的性能。此外，该提出的技术与仅基于正态分布的类似贝叶斯更新进行了比较吉布斯抽样。

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