| 研究生: |
陳素玉 Chen, Su-Yu |
|---|---|
| 論文名稱: |
參數系統識別與希伯特-黃轉換應用於土壤動態特性之評估 The Evaluation of Parametric System Identification and Hilbert-Huang Transform in Soil Dynamic Characteristics |
| 指導教授: |
倪勝火
Ni, Sheng-Huoo |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 土木工程學系 Department of Civil Engineering |
| 論文出版年: | 2006 |
| 畢業學年度: | 94 |
| 語文別: | 中文 |
| 論文頁數: | 104 |
| 中文關鍵詞: | 共振頻率 、系統識別 、希伯特-黃轉換 |
| 外文關鍵詞: | resonant frequency, system identification, Hilbert-Huang transform |
| 相關次數: | 點閱:107 下載:2 |
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台灣位於地震活動頻繁的環太平洋地震帶西側,隨時面臨地震的威脅,為了有效降低地震所帶來的災害,除了結構物本身耐震能力外,結構物底下土層在受到地震力時的反應行為也亟需了解。關於土壤動態參數,除了實驗室試驗,現場試驗為另一可用的選擇。
本研究即是以地震為一強大振動源,利用菁寮測站及羅東測站現場設置之井下陣列(downhole array)監測系統,在地震發生時真實地記錄土層反應。藉由參數系統識別法及希伯特-黃轉換,分別針對井下陣列監測系統所量測到的資料,反算求出土壤動態參數並加以比較。
整體而言,本文分析結果顯示參數識別之效果與模型階數、地震強度及兩測點之距離有關;而希伯特-黃轉換所得之結果可知地震所含之頻率成分與時間、振幅之關係,且由希伯特頻譜可察覺其低頻的放大效應。對於結構設計所需之土層共振頻率,可藉由線性非時變之系統識別方法來初步估算,若要更精確的分析,本文建議搭配時變方法一同估算,並於設計時同時考慮兩者之結果。
Taiwan lies to face the threaten earthquake at any time in the west of the earthquake zone of Pacific Ocean where the seismic activity is frequent. In order to reduce the damages caused by earthquake effectively, both the structure’s shaking endurance and the response behavior of soil layer during earthquake do need to be understood. To get the dynamic parameter of soils, besides testing in the laboratory, testing in situ is another available choice.
In this study, regarding earthquake as a strong vibration of sources, the monitoring system of the downhole array at ChingLiao and Lotung were used to record the soil layer response truly while taking place in earthquake. The data measured from monitoring system of the downhole array is used to calculate the soil dynamic parameter with the parametric system identification and Hilbert-Huang transform method.
The study shows that the analytic result is relevant to model order, the intensity of earthquake, the distance between receivers, and the relation among the frequency component of the earthquake, time, and amplitude in Hilbert-Huang transform result. Furthermore, the amplification of low frequency can be observed with Hilbert spectrum. The resonant frequency of soil can be estimated for structural design preliminarily by linear time-invariant system identification. For more accurate analysis, this study suggests that it should also consider the method with time-varying in the analysis.
1. Baise, L.G., and Glaser, S.D., “Consistency of Ground-Motion Estimates Made Using System Identification,” Bulletin of the Seismological Society of America, Vol. 90, No. 4, pp. 993-1009 (2000).
2. Borja, R.I., Duvernay, B.G., and Lin, C.H., “Ground Response in Lotung: Total Stress Analyses and Parametric Studies,” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 128, No. 1, pp. 54-63 (2002).
3. Elgamal, A.W., and Zeghal, M., “Lotung Downhole Array. I: Evaluation of Site Dynamic Properties,” Journal of Geotechnical Engineering, Vol. 121, No. 4, pp. 350-362 (1995a).
4. Elgamal, A.W., and Zeghal, M., “Lotung Downhole Array. II: Evaluation of Soil Nonlinear Properties,” Journal of Geotechnical Engineering, Vol. 121, No. 4, pp. 363-378 (1995b).
5. Gersch, W., and Brotherton, T., “Estimation of Stationary Structural System Parameters from Non-stationary Random Vibration Data: A Locally Stationary Model Method,” Journal of Sound and Vibration, Vol. 81, No. 2, pp. 215-227 (1982).
6. Ghanem, R.G., Gavin, H., and Shinozuka, M., “Experimental Verification of A Number of Structural System Identification Algorithms,” Technical Report NCEER-91-0024 (1991).
7. Glaser, S.D., “Insight into Liquefaction by System Identification,” Geotechnique, Vol. 46, No. 4, pp. 641-655 (1996).
8. Glaser, S.D., “System Identification and Its Application to Estimating Soil Properties,” Journal of Geotechnical Engineering, Vol. 121, No. 7, pp. 553-560 (1995).
9. Glaser, S.D., and Leeds, A.L., “Estimation of System Damping at The Lotung Site by Application of System Identification,” NIST GCR 96-700, Gaithersburg, MD (1996).
10. Huang, N.E., Zheng, S., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.C., Tung, C.C., and Liu, M.H., “The Empirical Mode Decomposition and Hilbert Spectrum for Non-linear and Non-stationary Time Series Analysis,” Proc. Roy. Soc. London, A454, pp. 903-995 (1998).
11. Juang, J.N., Applied System Identification, Prentice-Hall, Englewood Cliffs, NJ (1994).
12. Ljung, L.J., “System Identification Toolbox: For Use with MATLAB,” The MathWorks, Inc., Natick, MA (2002).
13. Ljung, L.J., System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ (1987).
14. Mikami, A., Sawada, and T., Ekawa, T., “Identification of Non-linear and Non-stationary Soil Properties during The 1995 Hyogoken-Nanbu Earthquake,” Soil Dynamics and Earthquake Engineering, Vol. 23, No. 4, pp. 279-286 (2003).
15. Polhemus, N. W., and Cakmak, A. S., “Simulation of Earthquake Ground Motions Using Autoregressive Moving Average (ARMA) Models,” Earthquake Engineering & Structural Dynamics, Vol. 9, No. 4, pp. 343-354 (1981).
16. Safak, E., “Optimal-adaptive Filters for Modeling Spectral Shape, Site Amplification, and Source Scaling,” Soil Dynamics and Earthquake Engineering, Vol. 8, No. 2, pp. 75-95 (1989).
17. Zhang, R., VanDemark, L., Liang, J., Hu, Y., “On Estimating Site Damping with Soil Non-linearity from Earthquake Recordings,” International Journal of Non-Linear Mechanics, Vol. 39, No.9, pp. 1501-1517 (2004).
18. 中央研究院地球科學研究所網站,http://www.earth.sinica.edu.tw/。
19. 李言俊、张科,系统辨识理论及应用,国防工业出版社,北京(2003)。
20. 林佳誼,「系統識別應用於土壤動態特性之初步研究」,碩士論文,國立成功大學土木工程研究所(2005)。
21. 柯宏明,「建築物系統識別與損壞評估之研究」,碩士論文,國立成功大學土木工程研究所(2004)。
22. 倪勝火、柯啟智,「現場土層內液化監測儀之設計與安裝」,集集地震土壤液化總評估九十學年度期末研究成果研討會論文集,第165-187頁(2002)。
23. 陳彥亨,「高低頻法於表面波譜法之應用分析」,碩士論文,國立成功大學土木工程研究所(2005)。
24. 曾文青,「希爾伯特-黃轉換應用於RC橋柱微振動量測及擬動態試驗之研究」,碩士論文,國立臺北科技大學土木與防災研究所(2002)。
25. 趙清風,控制之系統識別,全華科技圖書,台北(2001)。
26. 蔡世偉,「希爾伯特黃經驗模態分解法應用於分析基樁檢測結果之研究」,碩士論文,中華大學土木工程學系碩士班(2004)。
27. 刘宏才,系统辨识与参数估计,冶金工业出版社,北京(1999)。