構造モデルの精度改善法 : 特異値分解を用いた結合部同定

抄録

A method is developod that, by identifying the properties at local points, can improve an analytical model of a structure. Identificatin is accomplished by modifying mode shapes of the model based on measured eigenvalues and force equilibrium conditions within the analytical matrices that have deficiencies at the partial elements; precise mode shape measurement is not required. The procedure can handle large changes in the properties without the iteration of eigenvalues or sensitivity analysis. The singular value decomposition technique together with the vector weighting and additional rows appending technique, which stabilizes the solution, is utilized to derive the mode shape changes. Three cases of the method's application are examined by numerical simulation to demonstrate its performance.