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題名 深層地震持續時間之分析
Analysis on the Duration of Deep Earthquakes
作者 張覺心
Chang, Chuen-Hsin
貢獻者 李明融
Li, Meng-Rong
張覺心
Chang, Chuen-Hsin
關鍵詞 深層地震
持續時間
地震方程
受力率
deep earthquakes
duration
seismic equation
PGA
rate of raceiving force
日期 2004
上傳時間 18-九月-2009 18:29:00 (UTC+8)
摘要 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
參考文獻 [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.
描述 碩士
國立政治大學
應用數學研究所
90751011
93
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0907510112
資料類型 thesis
dc.contributor.advisor 李明融zh_TW
dc.contributor.advisor Li, Meng-Rongen_US
dc.contributor.author (作者) 張覺心zh_TW
dc.contributor.author (作者) Chang, Chuen-Hsinen_US
dc.creator (作者) 張覺心zh_TW
dc.creator (作者) Chang, Chuen-Hsinen_US
dc.date (日期) 2004en_US
dc.date.accessioned 18-九月-2009 18:29:00 (UTC+8)-
dc.date.available 18-九月-2009 18:29:00 (UTC+8)-
dc.date.issued (上傳時間) 18-九月-2009 18:29:00 (UTC+8)-
dc.identifier (其他 識別碼) G0907510112en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/36401-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 90751011zh_TW
dc.description (描述) 93zh_TW
dc.description.abstract (摘要) 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。zh_TW
dc.description.abstract (摘要) 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.en_US
dc.description.abstract (摘要) 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
-
dc.description.tableofcontents 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
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0907510112en_US
dc.subject (關鍵詞) 深層地震zh_TW
dc.subject (關鍵詞) 持續時間zh_TW
dc.subject (關鍵詞) 地震方程zh_TW
dc.subject (關鍵詞) 受力率zh_TW
dc.subject (關鍵詞) deep earthquakesen_US
dc.subject (關鍵詞) durationen_US
dc.subject (關鍵詞) seismic equationen_US
dc.subject (關鍵詞) PGAen_US
dc.subject (關鍵詞) rate of raceiving forceen_US
dc.title (題名) 深層地震持續時間之分析zh_TW
dc.title (題名) Analysis on the Duration of Deep Earthquakesen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1] Bellman, R., Stability Theory of Differential Equations,zh_TW
dc.relation.reference (參考文獻) McGraw-Hill, 1953.zh_TW
dc.relation.reference (參考文獻) [2] C.S. Yeh., Earthquake Resistant Design Manuals,zh_TW
dc.relation.reference (參考文獻) Architecture and Building Research Institute, Ministry ofzh_TW
dc.relation.reference (參考文獻) the interior, Taiwan, R.O.C., 1998 (Chinese)zh_TW
dc.relation.reference (參考文獻) [3] Center Weather Bureau, Seismological Bulletin, vol.49zh_TW
dc.relation.reference (參考文獻) (1) (2002)-vol.51 (2) (2004),Taipei, Taiwan, R.O.C.zh_TW
dc.relation.reference (參考文獻) [4] Lay, T. and Wallace, T.C., Modern Global Seismology,zh_TW
dc.relation.reference (參考文獻) Academic Press, 1995.zh_TW
dc.relation.reference (參考文獻) [5] Perko, L., Differential Equations and Dynamicalzh_TW
dc.relation.reference (參考文獻) Systems, Springer, 1991.zh_TW
dc.relation.reference (參考文獻) [6] Shearer, P.M., Introduction to Seismology, Cambridgezh_TW
dc.relation.reference (參考文獻) University Press, 1999.zh_TW