構造損傷検出に用いる射影フィルタの感度行列に基づく基本特性

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タイトル別名
  • BASIC CHARACTERISTICS OF PROJECTION FILTER BASED ON SENSITIVITY MATRIX USING STRUCTURAL DAMAGE DETECTION
  • コウゾウ ソンショウ ケンシュツ ニ モチイル シャエイ フィルタ ノ カンド ギョウレツ ニ モトズク キホン トクセイ

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抄録

 Characteristics of inverse problem analysis techniques on structural system identification based on filtering theory using as iterative calculation algorithm were studied computationally. Three- story frame models shown in Fig. 3 were adopted as the structural system and the projection filter was chosen from among Kalman filter, projection filter parametric projection filter and variable parametric projection filter. The projection filter is the simplest formula among filters mentioned above shown in eq.(8). Thus, characteristics of the projection filter were investigated from viewpoints of engineering quantities which are consisted of sensitivity matrix, filter gain, lateral stiffness, determinant of sensitivity matrix and initial values due to iterative calculations. In this study, iterative calculation procedures due to filter gain given as inverse matrix of sensitivity matrix based on the projection filter are proposed focusing on the difference calculation methods of sensitivity matrix especially. Results obtained from the inverse problem analysis due to system identification of three- story frame models can be summarized as follows.<br><br> (1) System identification analysis in the case of using “local forward difference method” can be performed iterative calculations computationally and stably.<br> (2) System identification due to iterative calculations assuming damage to the intermediate story cannot be performed stably.<br> (3) Iterative calculations due to inverse problem on structural system identification tend to diverge, even in the case where sensitivity matrix is compatible with the structural or mathematical model and determinant due to sensitivity matrix based on the projection filter alter on each filtering step.<br> (4) Iterative calculation can be performed stably by changing the initial value on intermediate story to be given among the sensitivity matrix, even in the case where sensitivity matrix is not compatible with the structural or mathematical model.<br> (5) In this study, iterative calculation can be carried out stably, even in the case where the initial value of intermediate story was given as half value of other stories.

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