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| 研究生： |
張覺心 Chang, Chuen-Hsin |
|---|---|
| 論文名稱： |
深層地震持續時間之分析 Analysis on the Duration of Deep Earthquakes |
| 指導教授： |
李明融
Li, Meng-Rong |
| 學位類別： |
碩士
Master |
| 系所名稱： |
理學院 - 應用數學系 Department of Mathematical Sciences |
| 論文出版年： | 2005 |
| 畢業學年度： | 93 |
| 語文別： | 英文 |
| 論文頁數： | 65 |
| 中文關鍵詞： | 深層地震 、持續時間 、地震方程 、受力率 |
| 外文關鍵詞： | deep earthquakes, duration, seismic equation, PGA, rate of raceiving force |
| 相關次數： | 點閱：222 下載：27 |
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在這篇文章中，我們由單擺運動的觀念得出深層地震持續時間的估計，以及討論了關於地震方程的良至性與週期性，並且得出關於持續時間的表現公式。最後，利用台北中央氣象局關於地震記錄的數據，來驗證我們以上的結果。
In this paper, we obtain the duration of deep earthquakes coming from the concept of pendulum motion. We consider the well-posedness and periodicity of the solutions for the seismic equation and get representation formula of duration for the equation. We revise the validity of our work by using numerical data gained from Center Weather Bureau in Taipei, Taiwan.
ABSTRACT
LIST OF FIGURES
1. Introduction.............................................1
1.1 Background about Seismology..........................1
1.2 Derivation of seismic equation.......................3
2. Well-Posedness of Seismic Equation.......................8
2.1 Existence and Uniqueness..........................8
2.2 Stability........................................13
3. Asymptotic Behavior of Solutions of Seismic Equation....15
4. Existence of Periodic Solutions.........................17
5. Derivation and Estimate of the Duration.................22
5.1 Representation Formula...........................22
5.2 Modified Formula.................................24
6. Analysis on the Duration................................26
6.1 Example..........................................26
6.2 Functional Properties............................27
6.3 Numerical Check of Data..........................30
6.3.1 Numerical Data 1........................31
6.3.2 Numerical Data 2........................45
References.................................................59
[1] Bellman, R., Stability Theory of Differential Equations,
McGraw-Hill, 1953.
[2] C.S. Yeh., Earthquake Resistant Design Manuals,
Architecture and Building Research Institute, Ministry of
the interior, Taiwan, R.O.C., 1998 (Chinese)
[3] Center Weather Bureau, Seismological Bulletin, vol.49
(1) (2002)-vol.51 (2) (2004),Taipei, Taiwan, R.O.C.
[4] Lay, T. and Wallace, T.C., Modern Global Seismology,
Academic Press, 1995.
[5] Perko, L., Differential Equations and Dynamical
Systems, Springer, 1991.
[6] Shearer, P.M., Introduction to Seismology, Cambridge
University Press, 1999.