矩形开孔薄板在压、弯、剪以及弯剪作用下的弹性屈曲  

ELASTIC BUCKLING OF THIN PLATES WITH RECTANGULAR HOLES UNDER COMPRESSION,BENDING,SHEAR AND COMBINED BENDING SHEAR

作　　者：黄逸琳 童根树[1] 张磊[1] HUANG Yi-lin;TONG Gen-shu;ZHANG Lei(Department of Civil Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China)

机构地区：[1]浙江大学土木工程系,浙江杭州310058

出　　处：《工程力学》2023年第9期1-12,共12页Engineering Mechanics

摘　　要：该文分析、开发、验证和总结了单个或多个矩形孔对四边简支板在弯曲、压缩、剪切单独受力以及弯剪复合受力时的临界弹性屈曲应力的影响以及其近似闭合形式表达式。表达式的形式基于经典板稳定理论近似,并通过采用ABAQUS壳体有限元的参数研究得到开发和验证。表达式可作为壳体有限元特征屈曲分析的一种方便的替代方法。有限元参数研究表明,孔会产生独特的屈曲模式,孔间距改变会减少或增加板的临界弹性屈曲应力,且间隔足够大时多孔板屈曲应力可用单孔板计算公式代替。经验证的闭合形式表达式及其相关限制旨在足够通用,以适应工程实践中常见的孔尺寸和间距范围。Closed-form expressions considering the influence of single or multiple rectangular holes on the critical elastic buckling stress of plates under bending,compression,shearing and combined bending shear are developed,validated and summarized.The expression forms are based on classical plate stability approximations,and are developed and verified by parametric studies employing shell finite elements.The expressions serve as a convenient alternative to shell finite element eigen-buckling analysis.The finite element parameter studies show that holes may produce unique buckling modes,and the change of hole spacing may reduce or increase the critical elastic buckling stress of the plate.When the spacing between holes is long enough,the buckling stress equation of single-hole plate can be used for multiple-hole plate.The validated closed-form expressions and their associated limitations are intended to be versatile enough to accommodate the range of hole sizes and spacings commonly found in engineering practice.

关 键 词：钢结构 腹板开孔 弹性屈曲 ABAQUS 预测方法 相互作用 

分 类 号：TU391[建筑科学—结构工程]