| 结构物理参数识别的贝叶斯估计马尔可夫蒙特卡罗方法 |
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| 引用本文： | 李小华,谢礼立,公茂盛.结构物理参数识别的贝叶斯估计马尔可夫蒙特卡罗方法[J].振动与冲击,2010,29(4). |
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| 作者姓名： | 李小华 谢礼立 公茂盛 |
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| 作者单位： | 1. 中国地震局,工程力学研究所,哈尔滨,150080;广东省地震局,广州,510070
2. 中国地震局,工程力学研究所,哈尔滨,150080 |
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| 基金项目： | 国家科技支撑计划，中国地震局工程力学研究所基本科研业务专项 |
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| 摘 要： | 从结构动力特征方程出发,以结构主模态参数为观测量,推得结构物理参数线性回归模型。对该模型应用贝叶斯估计理论得到物理参数后验联合分布,再结合马尔可夫蒙特卡罗抽样方法给出各个物理参数的边缘概率分布和最优估计值,而提出了基于结构主模态参数的结构物理参数识别贝叶斯估计马尔可夫蒙特卡罗方法。对五层剪切型结构的数值研究表明,此方法能够利用少数主模态参数给出结构质量和刚度参数的概率分布和最优识别值,而且在主模态参数较准确时识别误差很小。
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| 关 键 词： | 物理参数识别 贝叶斯估计 马尔可夫蒙特卡罗方法 模态参数 |
Structural physical parameter identification using Bayesian estimation with Markov Chain Monte Carlo method |
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| Li Xiao-hua,Xie Li-li,Gong Mao-sheng.Structural physical parameter identification using Bayesian estimation with Markov Chain Monte Carlo method[J].Journal of Vibration and Shock,2010,29(4). |
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| Authors: | Li Xiao-hua Xie Li-li Gong Mao-sheng |
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| Affiliation: | Li Xiao-hua1,2,Xie Li-li1,Gong Mao-sheng1(1.Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China,2.Earthquake Administration of Guangdong Province,Guangzhou 510070,China) |
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| Abstract: | The linear regression models of physical parameters of a structure were deduced from its dynamic characteristic equations with the modal parameters of its dominant modes as observation values.Based on these models,Bayesian statistics theory was used to obtain the posterior joint probability density function(PDF)of structural physical parameters,then the marginal PDF and optimal estimation of the physical parameters were obtained with the Markov Chain Monte Carlo(MCMC)method.The theoretical analysis and nume... |
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| Keywords: | physical parameter identification Bayesian estimation Markov Chain Monte Carlo(MCMC)method modal parameters |
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