A Bayesian Approach to Identifying Structural Nonlinearity using Free-Decay Response: Application to Damage Detection in Composites
A Bayesian Approach to Identifying Structural Nonlinearity using Free-Decay Response: Application to Damage Detection in Composites
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DOI：
10.1016/j.jsv.2010.02.004
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发表时间：
2010-07
影响因子：
4.7
通讯作者：
J. Nichols;W. Link;K. D. Murphy;C. Olson
中科院分区：
文献类型：
--
作者：
J. Nichols;W. Link;K. D. Murphy;C. Olson
这项工作讨论了一种逼近非线性结构系统参数分布的贝叶斯方法。具体来说，我们使用马尔可夫链蒙特卡罗方法进行采样的后验参数分布，从而产生点和区间估计参数。该方法首先用于识别线性和非线性参数的多自由度结构系统使用自由衰减振动。然后，该方法被应用到识别的位置，尺寸和脱层的深度在一个模型复合材料梁的问题。加性高斯噪声对响应数据的影响进行了探讨相对于所得到的参数估计的质量。
This work discusses a Bayesian approach to approximating the distribution of parameters governing nonlinear structural systems. Specifically, we use a Markov Chain Monte Carlo method for sampling the posterior parameter distributions thus producing both point and interval estimates for parameters. The method is first used to identify both linear and nonlinear parameters in a multiple degree-of-freedom structural systems using free-decay vibrations. The approach is then applied to the problem of identifying the location, size, and depth of delamination in a model composite beam. The influence of additive Gaussian noise on the response data is explored with respect to the quality of the resulting parameter estimates.