Elastic stability of shallow pin-ended parabolic arches subjected to step loads

被引:9
作者
Chen Yao [1 ,2 ]
Feng Jian [1 ,2 ]
机构
[1] Southeast Univ, Minist Educ, Key Lab Concrete & Prestressed Concrete Struct, Nanjing 210096, Peoples R China
[2] Southeast Univ, Engn Res Ctr Prestress Jiangsu Prov, Nanjing 210096, Peoples R China
来源
JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY | 2010年 / 17卷 / 01期
基金
中国国家自然科学基金;
关键词
shallow parabolic arch; step load; dynamic buckling; modified slenderness ratio; stiffness ratio; HORIZONTAL SPRING SUPPORTS; INPLANE STABILITY;
D O I
10.1007/s11771-010-0025-3
中图分类号
TF [冶金工业];
学科分类号
0806 ;
摘要
Buckling could be induced when shallow arches were subjected to vertical step loads. In-plane static and dynamic buckling of shallow pin-ended parabolic arches with a horizontal cable was investigated. Based on the equations of motion derived from Hamilton's principle, nonlinear equilibrium equations and static buckling equilibrium equations were deduced. Through the pseudo-static analysis, approximate solutions to the lower and upper dynamic buckling loads under step loads were obtained, for shallow parabolic arches. The results show that dynamic buckling and snap-through buckling are impossible when modified slenderness ratio lambda<lambda(c) and lambda>lambda(s), where lambda(c) and lambda(s) denote critical slenderness ratios of bucking and snap-through buckling, respectively; effects of the stiffness of the horizontal cable on the dynamic buckling are significant; and the dynamic buckling loads under a equivalent central concentrated step load are lower than the loads under a distributed load appreciably.
引用
收藏
页码:156 / 162
页数:7
相关论文
共 16 条
[1]   In-plane stability of parabolic arches with horizontal spring supports. I: Theory [J].
Bradford, Mark Andrew ;
Wang, Tao ;
Pi, Yong-Lin ;
Gilbert, R. Ian .
JOURNAL OF STRUCTURAL ENGINEERING, 2007, 133 (08) :1130-1137
[2]   In-plane elastic stability of fixed parabolic shallow arches [J].
Cai JianGuo ;
Feng Jian ;
Chen Yao ;
Huang LiFeng .
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 2009, 52 (03) :596-602
[3]   Influence of underground water seepage flow on surrounding rock deformation of multi-arch tunnel [J].
Li Xi-bing ;
Zhang Wei ;
Li Di-yuan ;
Wang Qi-sheng .
JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY, 2008, 15 (01) :69-74
[4]   Dynamic buckling of a shallow arch under shock loading considering the effects of the arch shape [J].
Mallon, N. J. ;
Fey, R. H. B. ;
Nijmeijer, H. ;
Zhang, G. Q. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2006, 41 (09) :1057-1067
[5]   In-plane vibration and stability of shallow circular arches subjected to axial forces [J].
Matsunaga, H .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (04) :469-482
[6]   In-plane elastic buckling of pin-ended shallow parabolic arches [J].
Moon, Jiho ;
Yoon, Ki-Yong ;
Lee, Tae-Hyung ;
Lee, Hak-Eun .
ENGINEERING STRUCTURES, 2007, 29 (10) :2611-2617
[7]   Nonlinear analysis and buckling of elastically supported circular shallow arches [J].
Pi, Y. -L. ;
Bradford, M. A. ;
Tin-Loi, F. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (7-8) :2401-2425
[8]   In-plane strength and design of fixed steel I-section arches [J].
Pi, YL ;
Bradford, MA .
ENGINEERING STRUCTURES, 2004, 26 (03) :291-301
[9]   Dynamic buckling of shallow pin-ended arches under a sudden central concentrated load [J].
Pi, Yong-Lin ;
Bradford, Mark Andrew .
JOURNAL OF SOUND AND VIBRATION, 2008, 317 (3-5) :898-917
[10]   Buckling of elastic shallow arches using the theory of a cosserat point [J].
Rubin, MB .
JOURNAL OF ENGINEERING MECHANICS, 2004, 130 (02) :216-224