研究生: |
賴宜昌 Yi-chang Lai |
---|---|
論文名稱: |
高層建築最佳設計風速之決定與敏感性分析 Sensitivity Analyses of the Optimal Design Wind Speed of a Tall Building |
指導教授: |
陳瑞華
Rwey-hua Cherng |
口試委員: |
鄭蘩
Van Jeng 黃慶東 Ching-tung Huang |
學位類別: |
碩士 Master |
系所名稱: |
工程學院 - 營建工程系 Department of Civil and Construction Engineering |
論文出版年: | 2014 |
畢業學年度: | 102 |
語文別: | 中文 |
論文頁數: | 100 |
中文關鍵詞: | 可靠度 、反應曲面 、重點取樣 、生命週期成本 、敏感性 |
外文關鍵詞: | Reliability, Response surface, Importance sampling, Life cycle cost, Sensitivity |
相關次數: | 點閱:272 下載:4 |
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本研究結合生命週期內各成本與可靠度分析,求出一高層建築物的最佳設計風速,並探討參數變異性對最佳設計風速的影響。所謂最佳設計風速除了符合安全性及舒適度的要求外,也使生命週期總成本最低;其中以層間變位角做為安全性指標,以頂層加速度作為舒適度指標。本研究在執行可靠度分析時,以快速積分法同時考慮隨機過程及隨機變數的不確定性,結合蒙地卡羅模擬及首次超越理論求解層間變位角超越機率;結合重點取樣法、反應曲面法及隨機振動尖峰理論求解頂層加速度超越機率;透過調整反應曲面尺度及重點取樣密度,可提升超越機率準確性及收斂性。本研究先在各項不易決定的參數為標準情況時,求解最佳設計風速,接著觀察不同參數組合如何影響最佳設計風速。其中,目標可靠度、自然頻率與風力控制構件成本比例對最佳設計風速對最佳設計風速的影響較其它參數顯著,其中又以目標可靠度最敏感。
This research combines the concepts of Life Cycle Cost (LCC) and Reliability analysis, to determine optimal design wind speed of the tall building, and discuss the influence of some parameters to the optimal design wind speed. The optimal design wind speed is the wind speed that, both reliability constraints about safety and comfort are satisfied, and the expected LCC is minimized. This research combines Monte Carlo simulation, fast integration method and first passage theory to determine the failure probability(drift ratio), and combines importance sampling method, fast integration method, response surface method and Shinozuka's theory to determine the failure probability(top acceleration), considering the uncertainties of random variables and random processes. In this research, it is found that the optimal design wind speed is more sensitive to target reliability indices, natural frequencies and the wind-controlled member cost ratio than other parameters, especially to the target reliability indices.
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