Reduced Model Updating Using Structural Sensitivities Method

運用結構敏感度理論更新結構縮小模型

黃信憲(Hsin-Hsen Huang)

《永達學報》 9卷2期 (2009/12) Pp. 70-87

https://doi.org/10.30179/BYTITC.200912.0007

摘要

本文發展一個新的方法，可調整結構縮小模型的結構變數及保持結構連結度。此法係依據系統質量及勁度矩陣對結構變數的敏感度。結構縮小模型的質量及勁度矩陣可同時被調整，調整後的更新模型模式數據可迅速收斂於實驗模型的模式數據。縮小模型中的一般座標轉成實際座標的方法也在本文中說明。由於在模型縮小的步驟中產生了誤差，因此有限元素模型中的質量誤差的影響較不明顯，需要進一步探討。

關鍵字

縮小模型 ； 結構敏感度 ； 模型更新

並列摘要

A model updating approach based on reduced models is developed. This approach is based on the structural sensitivities of the system mass and stiffness matrices, and the structural parameters are adjusted. The analytical mass and stiffness matrices of the reduced models can be adjusted simultaneously. After several iterations, the modal data of the updated reduced model reproduce those of the test model. The scheme to transform generalized coordinates into physical coordinates is also described. In the case of reduced models, error is introduced by the process of model reduction itself. Thus, the analytical mass error effect may not be apparent and needs further exploration.

並列關鍵字

reduced model ； structural sensitivities ； model updating