空间刚架稳定性分析的泡函数有限元法
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摘要
将泡函数有限元法理论用于空间刚架的稳定性分析。为了全面地考虑各种载荷因素对几何刚度矩阵的影响,提出了变几何刚度法和失稳判据。为了解决单元坐标系方位的确定这一个性化情况很突出的问题,运用三点定位算法编制了规范的计算程序。在一杆一单元的情况下,运用这三大理论编程计算出了比较精确的临界载荷值,说明在空间刚架的稳定性计算方面,泡函数有限元法具有突出的简洁性和精确性。
Stability of space frame structures w as analyzed by a Bubble-Function Finite Element M ethod( BFFEM) in this paper. Both a variable geometric stiffness method and a buckling criterion were presented w ith the consideration of various load influences on the geometric stiffness matrix. A formal program w as w ritten by a Three Points M ethod to define different element coordinate systems. For one bar one element,a very precise critical load for the space frame w as calculated using the above three theories,w hich indicated that the BFFEM w as simple and accurate for analyzing the stability of space frame structures.
Stability of space frame structures w as analyzed by a Bubble-Function Finite Element M ethod( BFFEM) in this paper. Both a variable geometric stiffness method and a buckling criterion were presented w ith the consideration of various load influences on the geometric stiffness matrix. A formal program w as w ritten by a Three Points M ethod to define different element coordinate systems. For one bar one element,a very precise critical load for the space frame w as calculated using the above three theories,w hich indicated that the BFFEM w as simple and accurate for analyzing the stability of space frame structures.
引文
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[7]周飞,宛树旗.单层网壳结构稳定性分析[J].国外建材科技,2007,28(3):119-122.
[8]彭细荣,杨庆生,孙卓.有限单元法及其应用[M].北京:清华大学出版社,2012.
[9]徐斌,高跃飞,余龙.MATLAB有限元结构动力学分析与工程应用[M].北京:清华大学出版社,2009.
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[14]WEAVER W,JOHNSTON P R.Finite element for ftructural analysis[M].New York:Prentice-Hall Inc,1984.
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