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有限单元法之梁柱单元的屈曲分析精度 被引量:5

Buckling Analysis Accuracy of Beam-Column Elements in FEM
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摘要 梁柱单元是有限单元法的重要单元形式,在结构工程分析与设计中应用广泛。其弹性计算的精度虽已被广泛认可,但在非线性分析情况下的精度却未引起结构工程师的充分重视。屈曲分析作为检验基准,通过理论推导,研究了Euler-Bernoulli梁柱单元在不同端部约束和不同单元划分时的计算精度,指出梁柱单元在某些端部约束较强而单元又无细分的情况下计算精度很低,并建议在进行结构整体屈曲分析时梁柱构件应至少保证两段等分的单元划分。 As one primary element in finite element method(FEM),beam-column elements are most popular in analysis and design of building structures.The accuracy of the element in linear analysis has been widely verified,however,its accuracy in nonlinear analysis has not been paid attention by structural engineers.Based upon the buckling analysis as the benchmark,the Euler-Bernoulli beam-column elements at different boundary conditions and different meshes were investigated in this paper.It was pointed out that the accuracy of beam-column elements would be poor if the boundary be well restrained as well as elements have no good meshes,and then,at least two equal segments for the meshing of members were recommended for total structural buckling analysis.
作者 江晓峰
出处 《结构工程师》 2010年第5期20-25,共6页 Structural Engineers
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