Ensemble Kalman Filter Finite Element Method Applied to Dynamic Motion of Elastic Body

Ensemble Kalman Filter Finite Element Method Applied to Dynamic Motion of Elastic Body

TEZUKA, Yukiko; KAWAHARA, Mutsuto

Full Article:

The purpose of this research is to obtain an estimation of behavior of an elastic body based on errorneous observations. To do this, the ensemble Kalman filter finite element method is used. In numerical study, a three dimensional elastic body is considered. The Iwatayama tunnel is employed. This construction site is located in Gifu prefecture, in Japan. The external force is applied to the tunnel face. As the boundary condition, bottom of the computational model is fixed in all directions. Dynamic motion is caused by the external force applied to the body. Observation data of acceleration at observation points are necessity to estimate acceleration at some other points. In this study, artificial data is used. Computed values plus the white Gaussian noise is used as artificial observations. The finite element method is applied to the spatial discretization and the linear acceleration method(Newmark B-method) is used as the temporal interpolation. Finally, the estimation is compared with the results by the finite element method, and effectiveness of the EnKF is verified.We suggest that an ensemble of size 40 and 100 to consider the relation between the size of ensemble members and accuracy of the EnKF.

The purpose of this research is to obtain an estimation of behavior of an elastic body based on errorneous observations. To do this, the ensemble Kalman filter finite element method is used. In numerical study, a three dimensional elastic body is considered. The Iwatayama tunnel is employed. This construction site is located in Gifu prefecture, in Japan. The external force is applied to the tunnel face. As the boundary condition, bottom of the computational model is fixed in all directions. Dynamic motion is caused by the external force applied to the body. Observation data of acceleration at observation points are necessity to estimate acceleration at some other points. In this study, artificial data is used. Computed values plus the white Gaussian noise is used as artificial observations. The finite element method is applied to the spatial discretization and the linear acceleration method(Newmark B-method) is used as the temporal interpolation. Finally, the estimation is compared with the results by the finite element method, and effectiveness of the EnKF is verified.We suggest that an ensemble of size 40 and 100 to consider the relation between the size of ensemble members and accuracy of the EnKF.

Palavras-chave:

DOI: 10.5151/meceng-wccm2012-19718

Referências bibliográficas

• [1] S.Gillins, O.Barrero Mendoza, J.Chandrasekaer, B.L.R.De Moor, D. S. Bernstein, and A. Radley: “What Is the Ensemble Kalman Filter and How Well Does it Work?”. Proceedings of the 2006 American Control Conference Minneapolis. Minnesota, USA, June 14-16, 2006.
• [2] Geir Evensen: “The Ensemble Kalman Filter: theoretical formulation and practical implementation”. Ocean Dynamics(2003). 53: 343-367 DOI 10.1007/s10236-003-0036-9.
• [3] A.Hommels and F.Molenkamp: “Inverse analysis of an embankment using the Ensemble Kalman Filter including heterogeneity of the soft soil”. Numerical Methods in Geotechnical Engineering, H.Schweiger ed. pp.635-639, 2006.
• [4] Y.Kato, M.Kawahara and N.Koizumi: “Kalman Filter Finite Element Method Applied to Dynamic Ground Motion”. Int . J. Num. Analy. Meth. Geomech. vol.33, No.9, pp1135-1151, 2010.

Como citar:

TEZUKA, Yukiko; KAWAHARA, Mutsuto; "Ensemble Kalman Filter Finite Element Method Applied to Dynamic Motion of Elastic Body", p-4072-4084. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-19718