構件考慮剛域之向量式有限元素分析研究

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題名:	構件考慮剛域之向量式有限元素分析研究
作者:	邱義欽;Chiu,Yi-chin
貢獻者:	土木工程學系
關鍵詞:	向量式有限元素;彈簧元素;剛域;剛隔版;剛性桿件;VFIFE;Spring element;Rigid zone;Rigid Diaphragm;Rigid rod
日期:	2015-07-28
上傳時間:	2015-09-23 10:12:30 (UTC+8)
出版者:	國立中央大學
摘要:	本研究分析的方式採用向量式有限元素(VFIFE);在時間增量非常小且所有變位增量均很小的情況下，使用勁度矩陣改變原先VFIFE以剛體平移、逆向剛體轉動計算構件內力的方式，且當與剛域相連接的柔性構件產生塑鉸時，本研究以改變勁度矩陣的方式計算構件內力。對於VFIFE中以一有限長度剛性桿件模擬剛域導致數值不收斂的情況，本研究提出一套平面構架之構件考慮剛域的分析流程，以三個平面構架算例，探討平面構架之構件考慮剛域與否對於整體結構物的影響。同時，在不考慮偏心的情況下，提出平面構架結合軸向彈簧近似模擬空間雙對稱構架受單向震波的結構動力模式，以兩個空間構架算例，探討空間構架之構件考慮剛域與否對於整體結構物的影響。此外，本研究在VFIFE中平面構架之構件考慮剛隔版的分析流程，以三個平面構架算例，探討平面構架之構件考慮剛隔版與否對於整體結構物的影響。並重新探討剛隔版質心自由度的考量，以三個平面構架算例，分別考慮一個自由度、兩個自由度、三個自由度對於整體構架的影響。 ;In this study, a numerical analysis method named Vector Form Intrinsic Finite Element(VFIFE) is used. Considering very small time increments and very small displacement increments, the stiffness matrix is introduced to calculate member forces in VFIFE. By changing stiffness matrix, calculating member forces with plastic hinges formed in the end of membersis demonstrated. Since adopting a limited length element to simulate rigid zone in VFIFE will lead to numerical divergence, this study proposes an analysis procedure with plane frame element to consider the rigid zone. Three plane frame cases is chosen to discuss the difference between considering rigid zone or not. Simultaneously, this study propose plane frame combining with axial spring element to discuss the influence of element considering rigid zone and comparing with the case without rigid zone by two space frame cases respectively. In addition, this study also proposes an analysis procedure with plane frame element to consider the rigid diaphragm in VFIFE, and discussing the influence of element considering rigid diaphragm that comparing with the case without rigid diaphragm. On the other hand, Review the influence of plane frame about the rigid diaphragm center’s degree of freedom by one degree of freedom, two degree of freedom, or three degree of freedom in three plane frame cases respectively.
顯示於類別:	[土木工程研究所] 博碩士論文

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