线性变化压力下矩形孔薄板屈曲性能与有效宽度计算方法  

THE BUCKLING PROPERTY AND EFFECTIVE WIDTH CALCULATION METHOD OF THIN PLATES WITH RECTANGULAR HOLES SUBJECTED TO LINEARLY VARYING PRESSURE

作　　者：姚行友[1,2] YAO Xingyou(School of Architecture and Civil Engineering,Nanchang Institute of Technology,Nanchang 330099,China;Jiangxi Province Key Laboratory of Hydraulic and Civil Engineering Infrastructure Security,Nanchang Institute of Technology,Nanchang 330099,China)

机构地区：[1]南昌工程学院土木与建筑工程学院,南昌330099 [2]南昌工程学院,江西省水利土木工程基础设施安全重点实验室,南昌330099

出　　处：《工业建筑》2021年第11期112-120,共9页Industrial Construction

基　　金：国家自然科学基金资助项目(51868049);江西省自然科学基金项目(20181BAB206040)。

摘　　要：采用有限元软件ABAQUS建立了线性变化压力作用下四边简支矩形孔薄板分析模型,分析开孔尺寸与间距等参数对矩形孔薄板屈曲性能、屈曲系数和极限承载力的影响。弹性屈曲分析结果表明:当孔距满足一定限值时,孔距对板件屈曲系数影响较小;随着开孔尺寸增加,板件从包含开孔的板件屈曲转变为孔侧板件的屈曲。随后基于有限元分析结果,对不均匀压力作用下矩形孔薄板屈曲系数进行拟合分析,给出其屈曲系数的建议计算式,并采用基于建议屈曲系数的有效宽度法计算板件极限承载力。结果表明:当开孔尺寸较小时,开孔尺寸对于不同压应力分布作用的矩形孔板件极限承载力影响较小,但随着开孔尺寸增加,矩形孔板件承载力明显降低;基于建议屈曲系数的有效宽度法可用于线性变化压力作用下矩形孔薄板的极限承载力计算。The analysis model of four-sided simply-supported thin plates with rectangular holes subjected to linearly varying loads was constructed by using the finite element software ABAQUS. The influence of dimension and spacing of holes on the elastic buckling property, buckling coefficient, and ultimate bearing capacity of perforated thin plates subjected to linearly varying loads was analyzed. The elastic buckling analysis results show that the effect of the spacing of holes was not significant when the spacing of holes could meet a certain limit. With the increase of the dimension of holes, buckling modes of thin plates transformed from the buckling of plates with holes to the buckling of plates adjacent to holes. Finally, buckling coefficients of thin plates with rectangular holes subjected to linearly varing pressure were obtained by finite element analysis. Meanwhile, the calculated formula of buckling coefficients was proposed. The ultimate bearing capacity of thin plates was calculated by using effective width method based on proposed buckling coefficients that the dimensions of rectangular holes had less effect on the ultimate bearing capacity of perforated plates when holes were small. But the effect gradually increased with the increase of dimensions of holes. The proposed effective width method could be used to predict the ultimate bearing capacity of thin plates with rectangular holes subjected to linearly varying loads.

关 键 词：薄板 矩形孔 线性变化压力 屈曲 有效宽度 

分 类 号：TU392.1[建筑科学—结构工程]