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| 題 名 | 積分型擬動態試驗之誤差傳播=Error Propagation Effect of an Integral form Pseudodynamic Testing Method |
|---|---|
| 作 者 | 張順益; | 書刊名 | 中國土木水利工程學刊 |
| 卷 期 | 11:3 1999.09[民88.09] |
| 頁 次 | 頁441-449 |
| 分類號 | 440.11 |
| 關鍵詞 | 隨機誤差; 系統誤差; 累積誤差; 誤差傳播效應; Random error; Systematic error; Cumulative error; Error propagation effect; |
| 語 文 | 中文(Chinese) |
| 中文摘要 | 由本文作者所發展成功的積分型之擬動態試驗法,除了能有效率的抓住外力急遽變化的特性以及大幅度減少線性化誤差外,其在使用Newmark外顯式積分法的擬動態試驗中更呈現較小的誤差傳播效應。本文將詳細的說明擬動態試驗誤差的可能來源,進而建立誤差傳播的分析模型,最後再利用頻譜分解法的技巧推出各參數的誤差傳播理論公式。除了上述的理論推導之外,亦進行了一系列線彈性單自由度系統的數值模擬。從理論的推導結果可以得知積分型Newmark外顯式積分法的誤差累積傳播效應與原始型一樣,是結構系統之自然頻率與積分時間步長乘積的函數。不管是z論的推導結果或是數值模擬的結果都證明了使用積分型Newmark外顯式積分法較原始型Newmark外顯式積分法具有較小的誤差累積傳播效應。 |
| 英文摘要 | The integral form pseudodynamic testing method developed by the author can effectively capture the rapid changes of dynamic loading and eliminate the adverse linearization errors. In addition, it exhibits less error propagation effect when compared to the original form method if the Newmark explicit method is employed. The sources of pseudodynamic errors are thoroughly discussed, while the error propagation analysis is performed to yield the mathematical expressions of the displacement cumulative rrors. A series of computer simulations are also conducted in this study. The theoretical results indicate that the error propagation effects for both the integral form and the original form of the Newmark method are functions of the product of the natural frequency and the size of time step. Both theoretical and numerical results show that the integral-from Newmark method possesses the less error propagation effect than for the original-from. |
本系統中英文摘要資訊取自各篇刊載內容。