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PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY
Application of the Reduced Kalman Filter Finite Element Method to the Ground
M. Nakatani and M. Kawahara
Department of Civil Engineering, Chuo University, Tokyo, Japan
M. Nakatani, M. Kawahara, "Application of the Reduced Kalman Filter Finite Element Method to the Ground", in , (Editors), "Proceedings of the Seventh International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 144, 2010. doi:10.4203/ccp.94.144
Keywords: finite element method, reduced Kalman filter finite element method, balance of stress equation, strain-displacement equation, stress-strain equation, Ohyorogi tunnel.
The purpose of this paper is to investigate the estimation of the acceleration of the ground using the Kalman filter finite element method. From the data of accelerations observed at the site, arbitrary data of the accelerations is estimated. In this paper, the strain-displacement equation, and the stress-strain equation are used as the state equations. For spatial discretization, the finite element method and the Galerkin method is used as an interpolation method. For temporal discrezation, the Newmark beta method is applied. The Kalman filter finite element method is the combination of the Kalman filter and the finite element method. This method can estimate using noisy observations from the site. However, a long computational time is required for computation by the method. Then, to reduce the computational time, the computational domain is divided into two parts, the main domain and the subsidiary domain. In the main domain, filtering procedures are carried out, whereas only the deterministic process is taken for the variables in the subsidiary domain. Eliminating the state variables in the subsidiary domain, the drastically more efficient computation is carried out. In this paper, this method is called the reduced Kalman filter finite element method. As the numerical study, this method is applied to Ohyorogi tunnnel site. The site is located in Mt.Ohyorogi in Hiroshima prefecture, Japan. The blasting examination was carried out on August 26th, 2009. Then accelerations are measured at two points by the accelerometer. The data obtained is used as observation and reference data. The acceleration is estimated using the method presented from the observation data. The estimation value is compared with reference data at the estimation point.
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