[1]吴耀鹏,白国良.平面刚架极限分析的解析法研究[J].西安建筑科技大学学报:自然科学版,2011,43(05):644-648.[doi:DOI :10.15986/j .1006-7930.2011.05.003]
 WU Y ao-peng,B A I Guo-l iang.Study on the analytical method of plane frame ultimate analysis[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2011,43(05):644-648.[doi:DOI :10.15986/j .1006-7930.2011.05.003]
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平面刚架极限分析的解析法研究()
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西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
43
期数:
2011年05期
页码:
644-648
栏目:
出版日期:
2011-10-31

文章信息/Info

Title:
Study on the analytical method of plane frame ultimate analysis
文章编号:
1006-7930(2011)05-0644-05
作者:
吴耀鹏 白国良
(西安建筑科技大学结构工程与抗震教育部重点实验室, 陕西西安710055)
Author(s):
WU Y ao-peng B A I Guo-l iang
(Key Labo rato ry fo r St ructural Eng ineering and Ear thquake Resistance o f China Educatio n Ministry ,
Xi′an Univer sity o f Architecture and Techno lo gy , Xi′an 710055, China)
关键词:
平面刚架极限分析荷载增量法线性规划法
Keywords:
plane f rame ultimate analy sis load increment method linear programming method .
分类号:
O342
DOI:
DOI :10.15986/j .1006-7930.2011.05.003
文献标志码:
A
摘要:
 根据结构极限分析定理, 提出了计算刚架极限荷载的荷载增量法、线性规划法.荷载增量法引入动态
单元定位向量的概念, 根据结构塑性铰出现的位置依次更改其对应的单元定位向量, 通过循环迭代计算结构
极限荷载.线性规划法是一种在一定结构约束条件下求函数极值的方法.通过平移变换并引入松弛变量, 可以
将极限荷载问题转化为标准线性规划问题, 用单纯形法计算结构极限荷载.算例分析表明, 荷载增量法和线性
规划法均能得到结构的极限荷载.平面刚架极限分析的解析法可以丰富结构力学的内容, 并可用于解决实际
工程问题.
Abstract:
Ba sed on the structural ultimate analy sis theor em , load increment method and linea r pr og ramming method a re
proposed to calculate the ultima te load .Load increment metho d introduces the dy namic element locato r vecto r .Based on
the locatio ns o f structural pla stic joints , their co rr esponding element lo ca to r vecto rs are changed in turn .Then the ultima
te load of structure is re so lved by ite ratio n and the linear pro g ramming method is used to calcula te functio n ex treme v alue
, w hich can meet some struc tur al restraint co nditions .Throug h tra nsfo rmatio n and slack variables int roduction , ultima
te load problem can be chang ed to norma tive linea r prog r amming pro blem .Using simplex method , the structural ultima
te load ca n be ca lculated.The results of calculatio n ex ample show that the applicatio ns of bo th load incr ement method
and linear prog ramming metho d can be used to predict structur al ultimate lo ad.Analy tical me tho d o f ultimate analy sis o f
plane f rame ca n enrich the contents of structur al mecha nics and solve practical eng ineering problems .

参考文献/References:

References
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备注/Memo

备注/Memo:
*收稿日期:2010-09-04   修改稿日期:2011-07-29
基金项目:国家自然科学基金资助项目(51108371);陕西省教育厅专项科研项目(2010 JK634)
作者简介:吴耀鹏(1979-), 男,河南信阳人, 博士, 讲师, 研究方向:结构力学
更新日期/Last Update: 2015-11-05