Local buckling characteristics of stiffened rectangular plate on elastic foundation subjected to non-uniform loads

ZHANG Ning; LIU Yong-jian; LI Hui; Siegfried F STIEMER

Volume 17 Issue 1

Turn off MathJax

Article Contents

Article Navigation > Journal of Traffic and Transportation Engineering > 2017 > 17(1): 36-44

Next Previous

ZHANG Ning, LIU Yong-jian, LI Hui, Siegfried F STIEMER. Local buckling characteristics of stiffened rectangular plate on elastic foundation subjected to non-uniform loads[J]. Journal of Traffic and Transportation Engineering, 2017, 17(1): 36-44.

Citation:

ZHANG Ning, LIU Yong-jian, LI Hui, Siegfried F STIEMER. Local buckling characteristics of stiffened rectangular plate on elastic foundation subjected to non-uniform loads[J]. Journal of Traffic and Transportation Engineering, 2017, 17(1): 36-44.

Citation:

ZHANG Ning, LIU Yong-jian, LI Hui, Siegfried F STIEMER. Local buckling characteristics of stiffened rectangular plate on elastic foundation subjected to non-uniform loads[J]. Journal of Traffic and Transportation Engineering, 2017, 17(1): 36-44.

PDF( 1902 KB)

Local buckling characteristics of stiffened rectangular plate on elastic foundation subjected to non-uniform loads

1.
School of Water Resources and Architectural Engineering, Northwest A&F University, Yangling 712100, Shaanxi, China
2.
Shaanxi Provincial Major Laboratory for Highway Bridge and Tunnel, Chang'an University, Xi'an 710064, Shaanxi, China
3.
Department of Civil Engineering, The University of British Columbia, Vancouver V6T 1Z4, Columbia, Canada

More Information

Author Bio:
ZHANGNing(1981-), male, lecturer, PhD, +86-29-82334577, johning@live.cn
Received Date: 2016-10-12
Publish Date: 2017-02-25

Abstract

Abstract

Based on the local stability of plate on elastic foundation, the energy method was adopted to deduce the nonlinear characteristic equation of local buckling for stiffened rectangular plate subjected to non-uniform loads.The effects of elastic foundation contact and longitudinal stiffening ribs were considered for plate's buckling analysis by using Galerkin method.The incremental iterative format of nonlinear characteristic equations of local buckling was given.The additional iterative equation of buckling characteristic value was proposed.Analysis result shows that the computational error of buckling coefficient is less than 2%compared with FEM, and the computational efficiency is higher because of avoiding the contact analysis process based on finite element simulation.When the load gradient is 1, the local stability of decentered component withstiffening ribs is greater because its buckling coefficient increases to 51.1that is 2.5times as large as the coefficient of the plate without stiffening ribs.The aspect ratio of buckling wave of stiffening plate is about 0.6, which shows relatively intensive arrangement.While the aspect ratio of buckling wave of non-stiffening plate is about 1.0.On the premise of unconverted sizes of stiffening rib, the optimal location of setting longitudinal stiffening rib is two fifths of plate's width distancing from the edge of plate's pressured side, and the critical buckling coefficient of stiffening plate increases to 78.9that is 4times as large as the value of non-stiffening plate.Because of the application of stiffening rib, the critical breadth-to-thickness ratio of rectangular concrete-filled steel tube increases to 172 that is 2times higher than the standard value.Obviously, when the longitudinal stiffening ribs are set on the wall of rectangular concrete-filled steel tube, the local stability of the wall effectively increases under the action of eccentric load, and the section sizes of rectangular concrete-filled steel tube are improved.
- bridge engineering,
- concrete filled steel tube,
- Galerkin method,
- buckling coefficient,
- stiffening rib,
- elastic foundation,
- non-uniform compression

FullText(HTML)

References(26)

References

[1]	UY B. Local and postlocal buckling of fabricated steel and composite cross sections[J]. Journal of Structural Engineering, 2001, 127 (6): 666-677. doi: 10.1061/(ASCE)0733-9445(2001)127:6(666)
[2]	SHAHWAN K W, WAAS A M. A mechanical model for the buckling of unilaterally constrained rectangular plates[J]. International Journal of Solids and Structures, 1994, 31 (1): 75-87. doi: 10.1016/0020-7683(94)90176-7
[3]	BRADFORD M A, WRIGHT H D, UY B. Local buckling of the steel skin in lightweight composites induced by creep and shrinkage[J]. Advances in Structural Engineering, 1998, 2 (1): 25-34. doi: 10.1177/136943329800200104
[4]	WRIGHT H D. Buckling of plates in contact with a rigid medium[J]. Structural Engineering, 1993, 71 (12): 209-215.
[5]	WRIGHT H D. Local stability of filled and encased steel sections[J]. Journal of Structural Engineering, 1995, 121 (10): 1382-1388. doi: 10.1061/(ASCE)0733-9445(1995)121:10(1382)
[6]	HE Bao-kang, YANG Xiao-bing, ZHOU Tian-hua. Theoretical analysis on local buckling behavior of concrete filled rectangular steel tube column subjected to axis force[J]. Journal of Xi'an University of Architecture and Technology: Natural Science Edition, 2002, 34 (3): 210-213. (in Chinese). doi: 10.3969/j.issn.1006-7930.2002.03.002
[7]	CAI Jian, LONG Yue-ling. Local buckling of steel plates in rectangular CFT columns with binding bars[J]. Journal of Constructional Steel Research, 2009, 65 (4): 965-972. doi: 10.1016/j.jcsr.2008.07.025
[8]	UY B, BRADFORD M A. Elastic local buckling of steel plates in composite steel-concrete members[J]. Engineering Structures, 1996, 18 (3): 193-200. doi: 10.1016/0141-0296(95)00143-3
[9]	LIANG Q Q, UY B. Theoretical study on the post-local buckling of steel plates in concrete-filled box columns[J]. Computer and Structures, 2000, 75 (5): 479-490. doi: 10.1016/S0045-7949(99)00104-2
[10]	CHAI H. Contact buckling and postbuckling of thin rectangular plates[J]. Journal of Mechanics and Physics of Solids, 2001, 49 (2): 209-230. doi: 10.1016/S0022-5096(00)00038-7
[11]	BRADFORD M A, SMITH S T, OEHLERS D J. Semi-compact steel plates with unilateral restraint subjected to bending, compression and shear[J]. Journal of Constructional Steel Research, 2000, 56 (1): 47-67. doi: 10.1016/S0143-974X(99)00073-5
[12]	SHAHWAN K W, WAAS A M. Buckling of unilaterally constrained plates: applications to the study of delaminations in layered structures[J]. Journal of the Franklin InstituteEngineering and Applied Mathematics, 1998, 335B (6): 1009-1039.
[13]	SHAHWAN K W, WAAS A M. Buckling of unilaterally constrained infinite plates[J]. Journal of Engineering Mechanics, 1998, 124 (2): 127-136. doi: 10.1061/(ASCE)0733-9399(1998)124:2(127)
[14]	MA X, BUTTERWORTH J W, CLIFTON C. Compressive buckling analysis of plates in unilateral contact[J]. International Journal of Solids and Structures, 2007, 44 (9): 2852-2862.
[15]	MA Xing, BUTTERWORTH J W, CLIFTON C. Initial compressive buckling of clamped plates resting on tensionless elastic or rigid foundations[J]. Journal of Engineering Mechanics, 2008, 134 (6): 514-518.
[16]	LIU Yong-jian, LI Hui, ZHANG Ning. Local elastic buckling analysis of rectangular concrete-filled steel tube under non-uniform compression[J]. Journal of Architecture and Civil Engineering, 2015, 32 (4): 1-8. (in Chinese). doi: 10.3969/j.issn.1673-2049.2015.04.001
[17]	HU H T, HUANG C S, WU M H, et al. Nonlinear analysis of axially loaded concrete-filled tube columns with confinement effect[J]. Journal of Structural Engineering, 2003, 129 (10): 1322-1329.
[18]	LIU Yong-jian, ZHANG Ning, ZHANG Jun-guang. Mechanical behavior of concrete-filled square steel tube stiffened with PBL[J]. Journal of Architecture and Civil Engineering, 2012, 29 (4): 13-17. doi: 10.3969/j.issn.1673-2049.2012.04.003
[19]	ZHANG Yao-chun, CHEN Yong. Experimental study and finite element analysis of square stub columns with straight ribs of concrete-filled thin-walled steel tube[J]. Journal of Building Structures, 2006, 27 (5): 16-22. (in Chinese). doi: 10.3321/j.issn:1000-6869.2006.05.003
[20]	HUANG Hong, ZHANG An-ge, LI Yi, et al. Experimental research and finite element analysis on mechanical performance of concrete-filled stiffened square steel tubular stub columns subjected to axial compression[J]. Journal of Building Structures, 2011, 32 (2): 75-82. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JZJB201102012.htm
[21]	LOPATIN A V, MOROZOV E V. Approximate buckling analysis of the CCFF orthotropic plates subjected to in-plane bending[J]. International Journal of Mechanical Sciences, 2014, 85 (1): 38-44.
[22]	MO Shi-xu, ZHONG Xin-gu, ZHAO Ren-da. Buckling behavior of elastically constrained rectangular plate on rigid base[J]. Engineering Mechanics, 2005, 22 (2): 174-178. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX20050200U.htm
[23]	PANDA S K, RAMACHANDRA L S. Buckling of rectangular plates with various boundary conditions loaded by nonuniform inplane loads[J]. International Journal of Mechanical Sciences, 2010, 52 (6): 819-828.
[24]	QIN Feng-jiang, DI Jin, ZHOU Xu-hong, et al. Analysis on influence factors of stability ultimate bearing capacity of U-rib stiffened plate of steel box girder[J]. Journal of Chang'an University: Natural Science Edition, 2017, 37 (1): 58-66. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL201701008.htm
[25]	BORST R D, CRISFIED M A, REMMERS J J C, et al. Nonlinear Finite Element Analysis of Solids and Structures[M]. Chichester: John Wiley & amp; amp; Sons, Ltd., 2012.
[26]	LEISSA A W, KANG J H. Exact solutions for vibration and buckling of an SS-C-SS-C rectangular plate loaded by linearly varying in-plane stresses[J]. International Journal of Mechanical Sciences, 2002, 44 (9): 1925-1945.