Experimental installation on instability of plate under non-uniform load
ZHANG Wei1,WANG Dong-cheng1,2,WANG Zhi-jie1
(1. National Engineering Research Center for Equipment and Technology of Cold Rolling Strip, Yanshan University,Qinhuangdao 066004, Hebei, China 2. State Key Laboratory of Metastable Materials Science and Technology,Yanshan University, Qinhuangdao 066004, Hebei, China)
Abstract:Buckling is a special way of plate failure,and it is important to judge whether the plate is unstable under different distributed load. At present, although there are a lot of theoretical studies on the buckling of plate under uniform load and non-uniform load,the lack of special experimental equipment to study the instability of the plate under non-uniform load is existing. To this end,the current study designed a set of special experimental program for the plate under the non-uniform load. When given a specific form of the distribution of the load,the height distribution of the pressure block between the pressure head and the plate can be calculated by the formula of this paper. So it can be applied to any form of distributed load. It has the advantages of simple structure and easy realization,and provides a simple and easy method for the study of the buckling of the plate.
收稿日期: 2016-09-05
出版日期: 2017-04-18
引用本文:
张 威,王东城,王志杰. 非均布载荷下板材失稳判别试验装置[J]. 钢铁, 2017, 52(4): 44-48.
ZHANG Wei,WANG Dong-cheng,,WANG Zhi-jie. Experimental installation on instability of plate under non-uniform load. Iron and Steel, 2017, 52(4): 44-48.
S.P. Timoshenko, J.M. Gere. 弹性稳定性理论[M]. 张福范. 科学出版社, 1965:381-394.S.P. Timoshenko, J.M. Gere. Theory of elastic stability[M]. Science Press, 1965:381-394.
[2]
王国栋. 板形控制和板形理论[M]. 冶金工业出版社, 1986:1-2.王国栋. Shape control and shape theory[M]. Metallurgical Industry Press, 1986:1-2.
[3]
杨荃,陈先霖. 轧制带材的屈曲理论及其在冷轧机板形控制中的应用[J]. 冶金设备,1994,01:1-4+17.Yang Quan, Chen Xian-lin. Buckling theory and its use in shaping control of cold rolling mill[J]. Metallurgical Equipment,1994,1:1-4.
[1]
S.P. Timoshenko, J.M. Gere. 弹性稳定性理论[M]. 张福范. 科学出版社, 1965:381-394.S.P. Timoshenko, J.M. Gere. Theory of elastic stability[M]. Science Press, 1965:381-394.
[2]
王国栋. 板形控制和板形理论[M]. 冶金工业出版社, 1986:1-2.王国栋. Shape control and shape theory[M]. Metallurgical Industry Press, 1986:1-2.
[3]
杨荃,陈先霖. 轧制带材的屈曲理论及其在冷轧机板形控制中的应用[J]. 冶金设备,1994,01:1-4+17.Yang Quan, Chen Xian-lin. Buckling theory and its use in shaping control of cold rolling mill[J]. Metallurgical Equipment,1994,1:1-4.
[4]
F.D.Fischer, F.G.Rammerstorfer, N.Friedl, W.Wieser. Buckling phenomena related to rolling and levelling of sheet metal[J]. International Journal of Mechanical Sciences,2000,42:1887-1910.
[4]
F.D.Fischer, F.G.Rammerstorfer, N.Friedl, W.Wieser. Buckling phenomena related to rolling and levelling of sheet metal[J]. International Journal of Mechanical Sciences,2000,42:1887-1910.
[5]
F.D.Fischer, F.G.Rammerstorfer, N.Friedl. Residual stress-induced center wave buckling of rolled strip metal[J]. Transactions of the ASME,2003,70:84-90.
[5]
F.D.Fischer, F.G.Rammerstorfer, N.Friedl. Residual stress-induced center wave buckling of rolled strip metal[J]. Transactions of the ASME,2003,70:84-90.
[6]
F.G.Rammerstorfer, F.D.Fischer, N.Friedl. Buckling of free infinite strips under residual stresses and global tension[J]. Journal of Applied Mechanics,2001,64:399-404.
[7]
孙亚波,刘宏民,彭艳. 板带轧制板形判别的降阶模型[J]. 工程力学,2009,26(12):204-210. SUN Yabo,LIU Hongmin,PENG Yan. Reduced order model for shape discrimination of strip rolling[J]. Engineering Mechanics,2014,36(4):523-528.
[8]
戴杰涛,张清东,秦剑. 薄宽冷轧带钢局部板形屈曲行为解析研究[J]. 工程力学,2011,28(10):236-242. DAI Jietao,ZHANG Qingdong,QIN Jian. Analysis of local bucking for thin cold-rolled strip[J]. Engineering Mechanics,2011,28(10):236-242.
[9]
戴杰涛,张清东. 冷轧薄板中浪板形缺陷的屈曲及后屈曲理论与轧制试验研究[J]. 机械工程学报,2011,47(2):44-50. DAI Jietao,ZHANG Qingdong. Analysis and experiment on central bucking and post bucking of thin cold-rolled sheet[J]. Chinese Journal of Mechanical Engineering,2011,47(2):44-50.
[10]
张清东,卢兴福,张晓峰. 具有初始翘曲缺陷冷轧薄带钢板形瓢曲变形行为研究[J]. 工程力学,2014,31(8):243-249. ZHANG Qingdong,LU Xingfu,ZHANG Xiaofeng. Analysis of bucking deformation for thin cold-rolled strip with initial warping defect[J]. Engineering Mechanics,2014,31(8):243-249.
[6]
F.G.Rammerstorfer, F.D.Fischer, N.Friedl. Buckling of free infinite strips under residual stresses and global tension[J]. Journal of Applied Mechanics,2001,64:399-404.
[7]
孙亚波,刘宏民,彭艳. 板带轧制板形判别的降阶模型[J]. 工程力学,2009,26(12):204-210. SUN Yabo,LIU Hongmin,PENG Yan. Reduced order model for shape discrimination of strip rolling[J]. Engineering Mechanics,2014,36(4):523-528.
[8]
戴杰涛,张清东,秦剑. 薄宽冷轧带钢局部板形屈曲行为解析研究[J]. 工程力学,2011,28(10):236-242. DAI Jietao,ZHANG Qingdong,QIN Jian. Analysis of local bucking for thin cold-rolled strip[J]. Engineering Mechanics,2011,28(10):236-242.
[9]
戴杰涛,张清东. 冷轧薄板中浪板形缺陷的屈曲及后屈曲理论与轧制试验研究[J]. 机械工程学报,2011,47(2):44-50. DAI Jietao,ZHANG Qingdong. Analysis and experiment on central bucking and post bucking of thin cold-rolled sheet[J]. Chinese Journal of Mechanical Engineering,2011,47(2):44-50.
[10]
张清东,卢兴福,张晓峰. 具有初始翘曲缺陷冷轧薄带钢板形瓢曲变形行为研究[J]. 工程力学,2014,31(8):243-249. ZHANG Qingdong,LU Xingfu,ZHANG Xiaofeng. Analysis of bucking deformation for thin cold-rolled strip with initial warping defect[J]. Engineering Mechanics,2014,31(8):243-249.
[11]
R. Nakhoul,P. Montmitonnet,M. Potier-Ferry. Multi-scale method for modeling thin sheet bucking under residual stresses in the context of strip rolling[J]. International Journal of Solids and Structures,2015,66:62-76.
[11]
R. Nakhoul,P. Montmitonnet,M. Potier-Ferry. Multi-scale method for modeling thin sheet bucking under residual stresses in the context of strip rolling[J]. International Journal of Solids and Structures,2015,66:62-76.
[12]
S. Abdelkhalek,H. Zahrouni,N. Legrand,et al. Post-bucking modeling for strips under tension and residual stresses using asymtotic numerical method[J]. International Journal of Mechanical Science,2015,104:126-137.
[12]
S. Abdelkhalek,H. Zahrouni,N. Legrand,et al. Post-bucking modeling for strips under tension and residual stresses using asymtotic numerical method[J]. International Journal of Mechanical Science,2015,104:126-137.
[13]
G.J.Turvey, I.H.Marshall. Buckling and postbuckling of composite plates[M]. 1995:3-57.
[13]
G.J.Turvey, I.H.Marshall. Buckling and postbuckling of composite plates[M]. 1995:3-57.
[14]
Jean-Marie Berthelot. Composite materials[M]. 1999:504-532.
[14]
Jean-Marie Berthelot. Composite materials[M]. 1999:504-532.
[15]
杨静宁, 马连生. 复合材料力学[M]. 国防工业出版社, 2014:61-130.Yang Jing-ning, Ma Lian-sheng. Mechanics of composite materials[M]. National Defence Industry Press, 2014:61-130.
[15]
杨静宁, 马连生. 复合材料力学[M]. 国防工业出版社, 2014:61-130.Yang Jing-ning, Ma Lian-sheng. Mechanics of composite materials[M]. National Defence Industry Press, 2014:61-130.
[16]
Abhinav Kumar, S.K. Panda, Rajesh Kumar. Buckling behaviour of laminated composite skew plates with various boundary conditions subjected to linearly varying in-plane edge loading[J]. International Journal of Mechanical Sciences, 2015, 100:136-144.
[16]
Abhinav Kumar, S.K. Panda, Rajesh Kumar. Buckling behaviour of laminated composite skew plates with various boundary conditions subjected to linearly varying in-plane edge loading[J]. International Journal of Mechanical Sciences, 2015, 100:136-144.
[17]
Hongzhi Zhong, Chao Gu. Buckling of simply supported rectangular Reissner–Mindlin plates subjected to linearly varying in-plane loading[J]. Journal of Engineering Mechanics, 2006, 132(5):578-581.
[17]
Hongzhi Zhong, Chao Gu. Buckling of simply supported rectangular Reissner–Mindlin plates subjected to linearly varying in-plane loading[J]. Journal of Engineering Mechanics, 2006, 132(5):578-581.
[18]
Hongzhi Zhong, Chao Gu. Buckling of symmetrical cross-ply composite rectangular plates under a linearly varying in-plane load[J]. Composite Structures, 2007, 80:42-48.
[18]
Hongzhi Zhong, Chao Gu. Buckling of symmetrical cross-ply composite rectangular plates under a linearly varying in-plane load[J]. Composite Structures, 2007, 80:42-48.
[19]
Jae-Hoon Kang, Arthur W. Leissa. Exact solutions for the buckling of 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.
[19]
Jae-Hoon Kang, Arthur W. Leissa. Exact solutions for the buckling of 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.
[20]
A. Milazzo, V. Oliveri. Post buckling analysis of cracked multilayered composite plates by pb-2 Rayleigh Ritz method[J]. Composite Structures, 2015, 132:75-86.
[20]
A. Milazzo, V. Oliveri. Post buckling analysis of cracked multilayered composite plates by pb-2 Rayleigh Ritz method[J]. Composite Structures, 2015, 132:75-86.