BACK ANALYSIS USING KALMAN FILTER-FINITE ELEMENTS AND OPTIMAL LOCATION OF OBSERVED POINTS. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3
BACK ANALYSIS USING KALMAN FILTER-FINITE ELEMENTS AND OPTIMAL LOCATION OF OBSERVED POINTS. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3
复制标题
使用卡尔曼滤波器有限元和观测点的最佳位置进行反分析。
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
T. Hasegawa
中科院分区：
文献类型：
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作者：
A. Murakami;T. Hasegawa
本文主要研究以下两个问题：一是卡尔曼滤波-有限元反分析的新方法；二是反分析问题中观测点最佳位置的确定方法。给出了用有限元方法结合卡尔曼滤波求解二维和平面应变问题的公式，并求出了非均匀区域的拉梅常数。在数值计算过程中，观测节点的位置是考虑到“灵敏度”系数来确定的。这些系数被定义为观测位移相对于未知参数的偏导数。文中还讨论了灵敏度系数在卡尔曼滤波有限元中的作用和意义。文中描述了岩土力学领域中各种问题的数值性能，并与其他算法的结果进行了比较，验证了该方法对某些反分析问题的适用性。(作者/TRRL)
This paper focuses on the following two topics: one is a new back analysis method using Kalman filter-finite elements; the other is a method for determining the optimal location of observed points for back analysis problems. A formulation is shown on finite element method (fem) in conjunction with the Kalman filter for two-dimensional and plane strain problems, where Lame's constants of non-homogeneous regions are solved. In the numerical procedure, the location of observed nodal points is determined taking into account the 'sensitivity' coefficients. These coefficients are defined as the partial derivatives of observed displacements with respect to unknown parameters. The role and the meaning of 'sensitivity' coefficients in the Kalman filter-finite elements are also discussed. The numerical performances for various problems in the field of geomechanics are described, and the applicability of the above procedure to some back analysis problems is examined in comparison to the results derived from other algorithms. (Author/TRRL)