摘要
基于阶梯式评估理论与板单元模型,将薄板每一横截面的局部作为研究对象,建立了型钢梁局部截面屈曲问题的分析框架。结合条带结构离散单元和直接刚度矩阵方法(DSMM),解决了求解过程中的切向刚度矩阵特征值易出现奇异的问题。研究结果发现:该方法可以快速、高效地计算出梁腹板结构中最大承压力和失稳位置,主要用于分析工型截面梁结构的复杂不稳定现象,即可允许对空间梁体的轮廓施加压力,还能以最少的计算工作量确定产生局部屈曲不稳定性现象的临界载荷因子。
Based on the step-by-step evaluation theory and the plate element model,the local section buckling issue of the analysis beam is solved by taking the local section of each section of thin plate as the research object and taking the step evaluation method.The singular issue of eigenvalues of the tangential stiffness matrix is solved by combing with the discrete element method(DEM)of strip structure and the direct stiffness matrix method(DSMM).Results show that,this method can quickly and efficiently find the position of the flanges with maximum compression and the beam webs with maximum bearing capacity.This method allows that pressure can be applied on the profile of the spatial beam body.The critical load factor of local buckling instability is determined with the least amount of computational work,and the complex instability is analyzed.
作者
张岩峰
ZHANG Yanfeng(China Railway 19th Bureau Group Third Engineering Co., Ltd., Shenyang 110136, China)
出处
《邵阳学院学报（自然科学版）》
2022年第3期55-61,共7页
Journal of Shaoyang University：Natural Science Edition
基金
辽宁省“兴辽英才计划”青年拔尖人才资助项目(XLYC2007146)。
关键词
屈曲分析
临界荷载
不稳定
薄板
buckling analysis
critical load
instability
thin plate
