土木建筑工程

箱型截面的齐次广义屈服函数与结构极限承载力

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  • 广西大学 土木建筑工程学院∥工程防灾与结构安全教育部重点实验室,广西 南宁 530004
欧伟(1987-),男,博士生,主要从事结构极限承载力与安全评估研究.E-mail:ouwei@mail.gxu.cn

收稿日期: 2013-10-25

  修回日期: 2014-04-15

  网络出版日期: 2014-05-01

基金资助

国家自然科学基金资助项目(51168003, 51169003);广西自然科学基金重大项目(2012GXNSFEA053002)

Homogeneous Generalized Yield Function and Ultimate Bearing Capacity of Structures with Box Section

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  • School of Civil Engineering and Architecture∥Key Laboratory of Engineering Disaster Prevention and Structural Safety of the Ministry of Education,Guangxi University,Nanning 530004,Guangxi,China
欧伟(1987-),男,博士生,主要从事结构极限承载力与安全评估研究.E-mail:ouwei@mail.gxu.cn

Received date: 2013-10-25

  Revised date: 2014-04-15

  Online published: 2014-05-01

Supported by

国家自然科学基金资助项目(51168003, 51169003);广西自然科学基金重大项目(2012GXNSFEA053002)

摘要

针对目前箱型截面广义屈服函数为非齐次函数,采用弹性模量调整法求解箱型结构极限承载力时易出现计算结果受荷载初始值影响和计算精度受损的问题,建立了箱型截面的齐次广义屈服函数,并通过误差分析确定了齐次多项式的阶次,进而定义了箱型截面构件的单元承载比、承载比均匀度和基准承载比,建立了以单元承载比为基本参数的弹性模量调整策略,据此提出了箱形结构极限承载力分析的弹性模量缩减法;并通过算例对该方法进行验证,算例分析表明,该方法计算箱型截面结构极限承载力时,结果不受荷载初始值的影响,具有良好的计算精度和迭代稳定性.

本文引用格式

欧伟 张伟 冯瑛琪 李琦 杨绿峰 . 箱型截面的齐次广义屈服函数与结构极限承载力[J]. 华南理工大学学报(自然科学版), 2014 , 42(6) : 96 -101 . DOI: 10.3969/j.issn.1000-565X.2014.06.015

Abstract

As the existing generalized yield function of box section is non- homogeneous,the ultimate bearing capacityof structures with box section obtained by elastic modulus adjustment procedures is often affected by the initial load,and the calculation accuracy is not satisfactory.In order to solve this problem,a homogeneous generalized yieldfunction is developed for box section,and the order of the polynomial expression is determined through error analysis.Then,the element bearing ratio (EBR),the EBR uniformity and the reference EBR for box section are defined,and an elastic modulus adjustment strategy that takes EBR as the basic parameter is proposed.Moreover,an elasticmodulus reduction method for the analysis of ultimate bearing capacity of the structures with box section is presen-ted,and some numerical examples are used to verify the correctness of the method.The results show that the pro-posed method helps to eliminate the effect of the initial load and possesses high calculation accuracy and strong iter-ation stability.

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