线弹性迭代的等肢角钢输电塔极限承载力研究  

Ultimate Bearing Capacity of Transmission Tower with Equal Angle Section of Linear Elastic Iteration

作　　者：韩晶晶 杨绿峰[1,2] HAN Jing-jing;YANG Lv-feng(College of Civil Engineering and Architecture,Guangxi University,Guangxi Nanning 530004,China;Key Laboratory of Engineering Disaster Prevention and Structural Safety of the Ministry of Education,Guangxi Nanning 530004,China)

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004 [2]工程防灾与结构安全教育部重点实验室,广西南宁530004

出　　处：《机械设计与制造》2024年第11期203-209,共7页Machinery Design & Manufacture

基　　金：国家自然科学基金重点项目(51738004)。

摘　　要：为了规避现有的构件截面广义屈服函数表达形式繁琐的缺点,同时弥补函数不等比例加载的不足,以逐步回归分析为基础,建立了等肢角钢简化的齐次广义屈服函数,提出了一种高效线弹性迭代方法,用以分析输电塔在构件强度方面的极限承载力。首先,利用最小二乘法建立等肢角钢齐次广义屈服函数;然后通过逐步回归分析,逐个剔除函数中影响不显著的各项,简化上述齐次广义屈服函数,同时保证其较高的拟合精度;最后,基于弹性模量调整策略,提出了一种高效线弹性迭代方法,用以等肢角钢输电塔的极限承载力分析。结果表明:所建立的简化形式的齐次广义屈服函数,不仅精度高,而且项数少,克服了现有传统的广义屈服函数表达形式繁琐、不等比例加载,以及由此带来的计算结果不稳定等问题。通过对比传统方法,验证了所述方法在分析输电塔构件强度方面的极限承载力具有高精度和高计算效率的特点。In order to overcome the defect of the original generalized yield function(GYF)with complex expression and non-proportional loading property,a homogeneous GYF(HGYF)was developed for steel component with equal angle section by means of stepwise regression.An efficient linear elastic iterative method is proposed to analyze the ultimate bearing capacity of transmission towers.Firstly,the homogeneous generalized yield function of equal leg angle is established by using the least square method.Then a simplified HGYF with high accuracy was developed by means of eliminating non-significant terms using stepwise regression analysis.Finally,an efficient linear elastic iteration method for ultimate bearing capacity analysis of transmission tower with equal angle sections was proposed by reducing the elastic modulus of highly stressed elements.It was demonstrated that the proposed HGYF is of high accuracy and simplicity,overcoming the defect of traditional GYF with non-proportional property and unstable convergence.It is verified that the method has the characteristics of high accuracy and high efficiency in analyzing the ultimate bearing capacity of transmission tower,comparing with the traditional method.

关 键 词：输电塔 等肢角钢截面 齐次广义屈服函数 逐步回归 极限承载力 线弹性迭代法 

分 类 号：TH16[机械工程—机械制造及自动化] TU312[建筑科学—结构工程]