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題名 | Direct Identification of Nonuniform Beams Using Modal Data=以模態作非均勻樑之參數識別 |
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作者 | 劉佩玲; | 書刊名 | 力學 |
卷期 | 11:4 1995.12[民84.12] |
頁次 | 頁347-355 |
分類號 | 440.13 |
關鍵詞 | 樑; 系統識別; 模態試驗; 非破壞檢驗; Beams; System identification; Modal data; Optimization; |
語文 | 英文(English) |
中文摘要 | 本文發展一個利用模態資料識別樑勁度及密度分佈之方法。首先以有限元素法推 導樑的模態方程式,再將識別問題改寫為最佳化問題,求算使模態方程式誤差平方和最小的 樑性質。此方法可求得樑性質的唯一解,而且此解為總域最佳解。文中除了發展反算方法外 ,尚引進微擾法計算量測誤差對識別結果的影響,並且對此反算問題的可識別性作深入討論 。最後,以三個數值算例驗証此識別方法。 |
英文摘要 | A method for identifying the properties of a nonuniform beam is developed in this paper. The measured natural frequencies and modal shapes of the beam are used in the identification process. The Euler-Bernoulli equation for beam vibration is transformed into a matrix eigenequation by finite element discretization. The identification problem is then formulated as an optimization program in which the error norm of the eigenequation is minimized. It is shown that given enough modal data, the beam parameters can be uniquely identified. Furthermore, the solution is a global minimum. The identifiability problem is addressed. The perturbation method is adopted to investigate the influence of measurement errors on the identification results. Three numerical examples are presented to illustrate the proposed method. |
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