三維剛架穩定性分析

Stability Analysis of 3-Dimentional space frames

吳金田(Ging-Tien Wu)

指導教授 ： 王寶璽

中原大學/工學院/土木工程研究所/碩士(2007年)

https://doi.org/10.6840/cycu200700113

摘要

本文應用有限元素法進行三維空間剛架穩定性分析比較，藉電子計算機數值模擬分析了解，並掌握三維空間剛架結構穩定特性。本文旨在探討空間剛架結構的線性挫屈行為，應用更新式格蘭治演算法建立三維剛架分析模式，以虛功原理推導空間樑柱元素之彈性勁度矩陣及幾何勁度矩陣，應用本文所建立之分析理論與電算程式可針對各種三維空間剛架結構進行穩定性分析，並藉由臨界荷重值與對應之挫屈模態，可有效判斷三維空間剛架結構的承載能力與運動行為，作為大型結構物設計及施工時之參考依據。

關鍵字

穩定分析 ； 三維剛架

並列摘要

The aim of the study concerns with the linear stability analysis of three dimensional space frames. A finite element computation procedure has been set up for the stability analysis of such kind structures. According the result of the linear stability analysis and the nonlinear deflection analysis are compared with the result of references. Linear buckling load behavior of such kind structures are examined in the study. The updated Lagrangian formulation has been employed for developing the elastic and geometric stiffness matrices of a three dimensional beam element. The method presented in the study can be used for any kind of three dimensional space frames for searching critical loads and corresponding buckling modes.

並列關鍵字

the three dimensional space frames ； stability analysis

參考文獻

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