|本期目录/Table of Contents|

[1]刘树堂.空间梁单元切线刚度矩阵的精确分析方法[J].建筑科学与工程学报,2014,31(04):135-142.
　LIU Shu-tang.Accurate Analysis Method on Tangent Stiffness Matrix for Space Beam Element[J].Journal of Architecture and Civil Engineering,2014,31(04):135-142.
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空间梁单元切线刚度矩阵的精确分析方法(PDF)
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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:
31卷
期数:
2014年04期
页码:
135-142
栏目:
出版日期:
2014-12-17

文章信息/Info

Title:
Accurate Analysis Method on Tangent Stiffness Matrix for Space Beam Element
作者:
刘树堂
广州大学土木工程学院
Author(s):
LIU Shu-tang
School of Civil Engineering, Guangzhou University
关键词:
空间梁单元; 切线刚度矩阵; 空间刚架; 非线性屈曲; 弹塑性屈曲
Keywords:
space beam element;  tangent stiffness matrix;  space frame;  nonlinear buckling;  elastoplastic buckling
分类号:
-
DOI:
-
文献标志码:
A
摘要:
为有效进行空间刚架结构后屈曲分析,提出一种新的空间梁单元切线刚度矩阵的精确分析方法。首先用直接法建立梁单元杆端力与杆端位移的增量关系式,然后根据矩阵微分理论求出单元杆端力关于杆端位移的导数,在求导结果表达式中令杆端位移增量为0，即可得到梁单元切线刚度矩阵。对六层和二十层空间刚架结构进行了后屈曲分析。结果表明：所得的空间梁单元切线刚度矩阵具有足够精度，可有效用于大型空间刚架结构的后屈曲分析。
Abstract:
In order to effectively conduct the postbuckling analysis for space frame, a new accurate analysis method for the tangent stiffness matrix of space beam element was proposed. Firstly, the incremental force and displacement of the member ends for space beam element was established using direct equilibrium method, and then derivation of the memberend force was determined with regard to the memberend displacement according to the matrix differentiation theory and the increment of memberend displacement of the derivation expression was set equal to zero, so that the tangent stiffness matrix for space beam element was obtained. The postbuckling analyses for a sixstorey space frame and a twentystorey frame were done. The results show that the present tangent stiffness matrix for space beam element has enough precision, and can be applied to the postbuckling analysis for large space frame.

参考文献/References:

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相似文献/References:

[1]刘树堂,朱文正.曲杆单元铰接单层网壳弹塑性后屈曲分析[J].建筑科学与工程学报,2016,33(06):113.
　LIU Shu-tang,ZHU Wen-zheng.Elasticplastic Post-buckling Analysis on Articulated Single-layer Reticulated Shells with Curved Lever Unit[J].Journal of Architecture and Civil Engineering,2016,33(04):113.

备注/Memo

备注/Memo:
-
更新日期/Last Update: 2014-12-18