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

姚行友

doi:10.13204/j.gyjzG21062001

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

doi: 10.13204/j.gyjzG21062001

姚行友

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

基金项目:

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)。

详细信息

作者简介:
姚行友,男,1978年出生,博士,副教授。电子信箱:yaoxingyoujd@163.com

计量
- 文章访问数: 93
- HTML全文浏览量: 11
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2021-06-20
- 网络出版日期: 2022-03-29

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

YAO Xingyou

1. School of Architecture and Civil Engineering, Nanchang Institute of Technology,Nanchang 330099, China;
2. Jiangxi Province Key Laboratory of Hydraulic and Civil Engineering Infrastructure Security, Nanchang Institute of Technology, Nanchang 330099, China

摘要

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。
- 薄板 /
- 矩形孔 /
- 线性变化压力 /
- 屈曲 /
- 有效宽度
Abstract: 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.
- thin plate /
- rectangular hole /
- linearly varying pressure /
- buckling /
- effective width

HTML全文

参考文献(34)

[1]	ORTIZ-COLBERG R A.The Load Carrying Capacity of Perforated Cold-Formed Steel Columns[D].NewYork:Cornell University,1981.
[2]	SIVAKUMARAN K S.Load Capacity of Uniformly Compressed Cold-Formed Steel Section with Punched Web[J].Canada Journal of Civil Engineering,1987,14(4):550-558.
[3]	ABDEL-RAHMAN N.Cold-Formed Steel Compression Members with Perforations[D].Hamilton,Ontario:MC Master University,1997.
[4]	MOEN C D,SCHAFER B W.Experiments on Cold-Formed Steel Columns with Holes[J].Thin-Walled Structure,2008,46:1164-1182.
[5]	MOEN C D,SCHAFER B W.Elastic Buckling of Cold-Formed Steel Columns and Beams with Holes[J].Engineering Structure,2009,31(12):2812-2824.
[6]	MOEN C D,SCHAFER B W.Direct Strength Method for Design of Cold-Formed Steel Columns with Holes[J].Journal of Structural Engineering,ASCE,2016,137(5):559-570.
[7]	何保康,赵桂萍.冷弯薄壁卷边槽钢开孔腹板屈曲性能分析[J].西安冶金建筑学院学报,1989,21(1):1-9.
[8]	姚永红,武振宇,成博,等.开孔冷弯薄壁卷边槽钢柱轴压性能的试验研究[J].华南理工大学学报(自然科学版),2011,39(9):61-67.
[9]	谭政,姚行友,汪洋,等.腹板开孔冷弯薄壁钢轴压构件畸变屈曲承载力试验研究[J].南昌工程学院学报,2015,34(6):14-18.
[10]	姚行友,郭彦利.腹板开圆孔冷弯卷边槽钢轴压构件畸变屈曲承载力试验与计算方法[J].工业建筑,2016,46(4):135-141.
[11]	姚行友,郭彦利,柳亚华,等.腹板开孔冷弯卷边槽钢轴压构件畸变屈曲分析[J].工业建筑,2020,50(1):170-177.
[12]	KULATUNGA M P,MACDONALD M.Investigation of Cold-Formed Steel Structural Members with Perforations of Different Arrangements Subjected to Compression Loading[J].Thin-Walled Structures,2013,67:78-87.
[13]	KULATUNGA M P,MACDONALD M,RHODES J,et al.Load Capacity of Cold-Formed Column Members of Lipped Channel Cross-Section with Perforations Subjected to Compression Loading-Part I:FE Simulation and Test Results[J].Thin-Walled Structures,2014,80:1-12.
[14]	MOEN C D,SCHUDLIC A,HEYDEN A V.Experiments on Cold-Formed Steel C-Section Joists with Unstiffened Web Holes[J].Journal of Structural Engineering,ASCE,2013,139(5):695-704.
[15]	ZHAO J,SUN K,YU C,et al.Tests and Direct Strength Design on Cold-Formed Steel Channel Beams with Web Holes[J].Engineering Structures,2019,184:434-446.
[16]	赵金友,高攀,王钧,等.腹板开矩形孔复杂卷边冷弯槽钢梁局部屈曲性能及直接强度法研究[J].建筑结构学报,2020,41(6):195-204.
[17]	SHANMUGAM N E,THEVENDRAN V,TAN Y H.Design Formula for Axially Compressed Perforated Plates[J].Thin-Walled Structures,1999,34(1):1-20.
[18]	BROWN C J,YETTRAM A L,BURNETT M.Stability of Plates with Rectangular Holes[J].Journal of Structural Engineering,ASCE,1987,113(5):1111-1116.
[19]	EL-SAWY K M,NAZMY A S.Effect of Aspect Ratio on the Elastic Buckling of Uniaxially Loaded Plates with Eccentric Holes[J].Thin-Walled Structures,2001,39:983-998.
[20]	EL-SAWY K M,NAZMY A S,MARTINI M I.Elasto-Plastic Buckling of Perforated Plates Under Uniaxial Compression[J].Thin-Walled Structures,2004,42:1083-1101.
[21]	AYDIN KOMUR M,SONMEZ M.Elastic Buckling of Rectangular Plates Under Linearly Varying in-Plane Normal Load with a Circular Cutout[J].Mechanics Research Communications,2008,35(6):361-371.
[22]	MAIORANA E,PELLEGRINO C,MODENA C.Elastic Stability of Plates with Circular and Rectangular Holes Subjected to Axial Compression and Bending Moment[J].Thin-Walled Structures,2009,47(3):241-255.
[23]	YU C,SCHAFER B W.Effect of Longitudinal Stress Gradients on Elastic Buckling of Thin Plates[J].Journal of Structural Engineering,ASCE,2007,133(4):452-463.
[24]	SHANMUGAM N E,THEVENDRAN V,TAN Y H.Design Formula for Axially Compressed Perforated Plates[J].Thin-Walled Structures,1999,34(1):1-20.
[25]	苏坚艺,姚行友,郭彦利,等.开孔薄板屈曲性能研究进展[J].低温建筑技术,2019,248:35-37,45.
[26]	宋晓庆,开孔冷弯薄壁型钢构件局部屈曲性能与设计方法研究[D].南昌:南昌工程学院,2020.
[27]	姚行友,宋晓庆,郭彦利.非均匀受压圆孔矩形薄板屈曲性能与有效宽度计算方法[J].南昌工程学院学报,2021,40(3):12-19.
[28]	KAWAI T,OHTSUBO H.A Method of Solution for the Complicated Buckling Problems of Elastic Plates with Combined Use of Rayleigh-Ritz's Procedure in the Finite Element Method[C]//Proceedings of the Second Conference on Matrix Methods in Structural Mechanics.1968:967-994.
[29]	柳亚华,姚行友,苏坚艺.轴心受压开孔薄板弹性屈曲性能分析[J].宁夏大学学报(自然科学版),2019,40(1):45-51.
[30]	苏坚艺,姚行友,郭彦利.受弯开孔薄板弹性屈曲性能分析与计算方法研究[J].宁夏大学学报(自然科学版),2020,41(1):57-62,68.
[31]	KANG J H,LEISSA A W.Exact Solutions for the Buckling Rectangular Plates Having Linearly Varying in-Plane Loading on Two Opposite Simply Supported Edges[J].International Journal of Solids and Structures,2005,42:4220-4238.
[32]	SCHAFER B W.Finite Strip Analysis of Thin-Walled Members[R].CUFSM:Cornell University-Finite,2001.
[33]	中华人民共和国住房和城乡建设部.冷弯薄壁型钢结构技术规范:GB 50018-2002[S].北京:中国计划出版社,2002.
[34]	XU L,SHI Y,YANG S.Compressive Strength of Cold-Formed Steel C-Shape Columns with Slotted Holes[C]//Twenty-Second International Specialty Conference on Cold-Formed Steel Structures:Recent Research and Developments in Cold-Formed Steel Design and Construction.2014:157-170.