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題 名 | 模態參數辨識中感測器擺放位置次佳解之研究=Suboptimal Sensor Placement for Modal Parameter Identification |
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作 者 | 程安邦; | 書刊名 | 技術學刊 |
卷 期 | 15:4 2000.12[民89.12] |
頁 次 | 頁565-575 |
分類號 | 471.3 |
關鍵詞 | 模態參數辨識; 感測器擺放; 次佳解; 振形; Modal parameter identification; Sensor placement; Suboptimal solution; Mode shape; |
語 文 | 中文(Chinese) |
中文摘要 | 在模態參數辨識問題中感測器的擺放位置佔了舉足輕重的地位,適當的感測器數量及位置可以提高模組資料的訊雜比,進而改善辨識結果的精確度。由於振動輸出訊號可經由感測器量測位置(含方向)的振幅放大,因此振形是擺放感測器位置的重要參考指標。在考量多模組的情形時,感測器位置的組合是一個非線性的最佳化問題。然而求其最佳解乃一冗長的搜尋過程,一個兼顧精確度又可行的方法就是在所有解組成的解空間內求其次佳解。本文即探討利用循環式的方法逐一淘汰不佳的位置和逐一增加最佳位置等兩種方法所產生的兩組次佳解,並配合模擬範例說明其間的異同處。結果顯示逐一淘汰法所得的次佳解在本文的範例中大部份情形都極接近最佳解或與其相同,足以替代最佳解:而逐一增加法在有些情形下表現與逐一淘汰法相當,但有些情形下則較不理想。 |
英文摘要 | Sensor locations play an important role in modal parameter identification. Placing sensors at appropriate locations can raise Signal to Noise Ratio, thus improve the accuracy of estimations. Since vibration signals can be enhanced via the modal amplitudes where sensors reside, mode shapes are therefore crucial to the sensor placement strategy. However, when multiple modes are involved, sensor placement is inherently a non-linear optimization problem, indicating that lengthy computations are inevitable. As a result, a time-saving replacement with comparable accuracy is sought. Such a solution should be suboptimal and usually non-unique, depending on the initial values and adopted method that governs the ways of arranging and combining candidate sensor locations. Motivated by this, the current article proposes two suboptimal approaches; one deletes a location of least use at each iteration, and the other adds a most useful location at each iteration. Detailed algorithms with numerical examples of two dimensional beam structures are provided for demonstration. The simulations show that the former method exhibits excellent performance, when compared with optimal solutions. |
本系統中英文摘要資訊取自各篇刊載內容。