由于初始缺陷会引起轴压圆柱壳失稳载荷很大程度的折减，本文基于刚度折减方法，推导建立轴压圆柱壳失稳载荷计算公式，分析轴对称缺陷对轴压圆柱壳各部分刚度的影响。结果表明，轴对称初始缺陷对轴压圆柱壳薄膜刚度影响较大，初始缺陷经过了圆柱壳失稳波数的二次方放大。
The initial imperfections can greatly reduce the critical buckling load of the axially compressed thin-walled cylindrical shell. The influence of the initial axisymmetric defects on the stiffness of each part of the compressed cylindrical shell is discussed with stiffness reduction method (RSM). The results show that the initial axisymmetric defects have a great influence on the membrane stiffness of the cylindrical shell, which reduces the stability carrying capacity of the axially compressed cylindrical shell. The initial defect is amplified by the square of the instability wavenumber of the cylindrical shell.
2020,42(7): 34-39 收稿日期：2019-03-28
DOI：10.3404/j.issn.1672-7649.2020.07.007
分类号：U663.1
基金项目：国家自然科学基金面上项目(51879125)，国家重点研发计划项目(2016YFC0300600)，江苏省高校自然科学重大研究项目(18KJA580003)，江苏省“六大人才高峰”高层次人才资助项目(2018-KTHY-033)
作者简介：白旭(1984),男,博士,副教授,研究方向为船舶与海洋结构物可靠性与风险分析
参考文献：
[1] 乔丕忠, 王艳丽, 陆林军. 圆柱壳稳定性问题的研究进展[J]. 力学季刊, 2018(2): 223-236
QIAO Pizhong, WANG Yanli, LU Linjun. Advances in stability study of cylindrical shells[J]. Chinese Quarterly of Mechanics, 2018(2): 223-236
[2] 祝恩淳, MANDAL P., CALLADINE C.R. 轴压圆柱壳的失稳分析[J]. 土木工程学报, 2001, 34(3): 18-22
ZHU Enchun, MANDAL P., CALLADINE C.R. Analysis of buckling of thin cylindrical shells under axial compression[J]. China Civil Engineering Journal, 2001, 34(3): 18-22
[3] LAUREN K. A Study of the effect of imperfections on buckling capability in thin cylindrical shells under axial loading: [R]. Rensselaer Polytechnic Institute, 2009.
[4] MUGGERIDGE D B, TENNYSON R C. Buckling of axisymmetric imperfect circular cylindrical shells under axial compression[J]. Aiaa Journal, 2015, 7(11): 2127-2131
[5] 龚友根, 贺玲凤. 含有初始缺凹陷圆柱壳稳定承载能力的实验研究与数值计算[J]. 实验力学, 2010, 25(1): 73-80
GONG Yougen, HE Lingfeng. Experimental study and numerical calculation of stability and load-carrying capacity of cylindrical shell with initial dent[J]. Journal of Experimental Mechanics, 2010, 25(1): 73-80
[6] 王小明. 纵骨对环肋圆柱壳肋间壳板稳定性的影响[J]. 舰船科学技术, 2017, 39(4): 35-39
[7] 白旭, 李金华, 王晓天. 肋骨刚度对环肋圆柱壳失稳载荷的影响分析[J]. 江苏科技大学学报(自然科学版), 2014, 28(4): 3078-312
BAI Xu, LI Jinhua, WANG Xiaotian. Effect of rib stiffness on buckling load of stiffened cylindrical shells[J]. Journal of Jiangsu University of Science and Technology (Natural Science Edition), 2014, 28(4): 3078-312
[8] CROLL J G A, GAVRILENKE G D. Reduced-stiffness method in the theory of buckling of stiffened shells[J]. Strength of Material, 2000, 32(2): 168-177
[9] ROSSANA C. J., LUIS A. G., FERNANDO G. F., et al A reduced stiffness approach for the buckling of open cylindrical tanks under wind loads[J]. Thin-Walled Structures, 2007, 45: 727-736
[10] Hongtao WANG, JAMES G. A. Croll optimisation of shell buckling using lower bound capacities[J]. Thin-Walled Structures, 2008, 46: 1011-1020
[11] EDUARDO M. Sosa and LUIS A. Godoy Challenges in the computation of lower-bound buckling loads for tanks under wind pressures[J]. Thin-Walled Structures, 2010, 48: 935-945
[12] Xu BAI, Weijun XU, Huilong REN, et al. Analysis of the influence of stiffness reduction on the load carrying capacity of ring-stiffened cylindrical shell[J]. Ocean Engineering, 2017, 135: 52-62
[13] 白旭, 乐智斌, 李金华, 等. 静水压力下轴对称初始缺陷圆柱壳承载能力研究[J]. 船舶力学, 2015(11): 1334-1343
BAI Xu, YUE Zhibin, LI Jinhua, et al. Load-carrying capacity of cylindrical shells with axisymmetric initial imperfections under hydrostatic pressure[J]. Journal of Ship Mechanics, 2015(11): 1334-1343
