摘要
在结构上附加已知质量,利用附加前后模态参数和附加质量识别结构物理参数。利用特征方程结合矩阵变换推导出结构物理参数与附加质量前后的模态参数之间的关系式,利用关系式推导待识别参数的线性模型,感觉蒙特卡洛思想用Gibbs抽样方法对参数进行抽样,得到结构的物理参数。用一个7层的剪切模型为算例验证了该方法的可行性。
Based on the method of adding given mass,the physical parameters in the structure are identificated by the model parameters before and after the use of adding given mass.The relation between structural physical parameters and the two kinds of model parameters is derived by the characteristic equation combining with matrix transformation,and the structural physical parameters are acquired by using Gibbs sampling method.At last,the proposed method is affirmed to be feasible with a seven layer shear model.
出处
《工程抗震与加固改造》
北大核心
2013年第6期8-11,29,共5页
Earthquake Resistant Engineering and Retrofitting
基金
国家自然科学基金资助项目(50978130)
关键词
附加质量
物理参数识别
模态参数识别
贝叶斯估计
马尔科夫蒙特卡罗方法
GIBBS抽样
additional mass
physical parameter identification
model parameter identification
Bayesian estimation
Markov chain Monte Carlo method
Gibbs sampling