[1]侯祥林,马英成,贾连光.一类变截面刚架结构的临界载荷算法研究[J].地震工程与工程振动,2019,39(06):054-61.[doi:10.13197/j.eeev.2019.06.54.houxl.008]
 HOU Xianglin,MA Yingcheng,JIA Lianguang.Research of critical load algorithm for a class of rigid frame structures with variable cross-section[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2019,39(06):054-61.[doi:10.13197/j.eeev.2019.06.54.houxl.008]
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一类变截面刚架结构的临界载荷算法研究
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《地震工程与工程振动》[ISSN:/CN:]

卷:
39
期数:
2019年06
页码:
054-61
栏目:
论文
出版日期:
2019-12-31

文章信息/Info

Title:
Research of critical load algorithm for a class of rigid frame structures with variable cross-section
作者:
侯祥林1 马英成1 贾连光2
1. 沈阳建筑大学 机械工程学院, 辽宁 沈阳 110168;
2. 沈阳建筑大学 土木工程学院, 辽宁 沈阳 110168
Author(s):
HOU Xianglin1 MA Yingcheng1 JIA Lianguang2
1. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110168, China;
2. School of Civil Engineering, Shenyang Jianzhu University, Shenyang 110168, China
关键词:
临界载荷刚架非线性差分方程组优化算法位型
Keywords:
critical loadrigid framenonlinear difference equationsoptimization algorithmbuckling position
分类号:
O342;O224
DOI:
10.13197/j.eeev.2019.06.54.houxl.008
摘要:
本文提出了一类变截面刚架结构非对称临界载荷的数值算法。本文算法以临界载荷、节点内力与挠度为设计变量,根据屈曲状态下满足的挠曲线微分方程组、结构离散化的思想和差分原理构建了目标函数模型。通过VB语言结合多维Powell优化方法编制了变截面刚架结构的临界载荷求解程序,并计算了典型工程算例的临界载荷。运用ANSYS有限元软件对算例结果进行了仿真对比分析,发现了随着离散点数量的增加,本文算法计算的临界载荷与仿真计算的结果之间的相对误差呈减小趋势并最终满足精度要求,证实了本文算法的正确性和有效性,为工程中刚架结构稳定性问题的研究提供了参考。
Abstract:
In this paper, a numerical algorithm of asymmetric critical load for a class of rigid frames with variable cross-section is proposed. Taking the critical load, internal force of nodes and deflection of each node as design variables, the objective function model is established by the deflection curve differential equations in the bending stage, the idea of structural discretization, and the difference principle. Then the critical load solution program of rigid frame structure with variable section is compiled by VB language which combining multi-dimensional Powell optimization method, and the critical load of a typical engineering example is analyzed and calculated. Applying ANSYS to simulate the results of numerical example, the relative error of the critical load between the algorithm of author and the simulation show a reduced trend with the increase of discrete points, and the final calculated results meet the precision requirement, which verify the correctness and validity of the algorithm, providing a reference for the research on the stability of rigid frame structure in engineering.

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备注/Memo

备注/Memo:
收稿日期:2019-08-18;改回日期:2019-09-25。
基金项目:国家自然科学基金项目(51578346);辽宁省自然科学基金项目(2015020129)
作者简介:侯祥林(1962-),男,教授,博士,主要从事力学研究.E-mail:544476156@qq.com
更新日期/Last Update: 1900-01-01