Citation: | LIU Mingfeng, XU Dian, NI Zhuofan, LI Yihao, LI Rui. Symplectic Superposition-Based Analytical Solutions for Buckling of Non-Lévy-Type Orthotropic Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1428-1440. doi: 10.21656/1000-0887.440093 |
[1] |
熊健, 李志彬, 刘惠彬, 等. 航空航天轻质复合材料壳体结构研究进展[J]. 复合材料, 2021, 38(6): 1629-1650.
XIONG Jian, LI Zhibin, LIU Huibin, et al. Advances in aerospace lightweight composite shell structure[J]. Acta Materiae Compositae Sinica, 2021, 38(6): 1629-1650. (in Chinese)
|
[2] |
WEI K, PENG Y, QU Z, et al. Lightweight composite lattice cylindrical shells with novel character of tailorable thermal expansion[J]. International Journal of Mechanical Sciences, 2018, 137: 77-85. doi: 10.1016/j.ijmecsci.2018.01.017
|
[3] |
王晓旭, 张典堂, 钱坤, 等. 深海纤维增强树脂复合材料圆柱耐压壳力学性能的研究进展[J]. 复合材料学报, 2020, 37(1): 16-26.
WANG Xiaoxu, ZHANG Diantang, QIAN Kun, et al. Research progress on mechanical properties of deep-sea fiber reinforced resin composite cylindrical pressure shells[J]. Acta Materiae Compositae Sinica, 2020, 37(1): 16-26. (in Chinese)
|
[4] |
TENG J G, YU T, FERNANDO D. Strengthening of steel structures with fiber-reinforced polymer composites[J]. Journal of Constructional Steel Research, 2012, 78: 131-143. doi: 10.1016/j.jcsr.2012.06.011
|
[5] |
MOROZOV E V, LOPATIN A V, NESTEROV V A. Finite-element modelling and buckling analysis of anisogrid composite lattice cylindrical shells[J]. Composite Structures, 2011, 93(2): 308-323. doi: 10.1016/j.compstruct.2010.09.014
|
[6] |
RAVARI M R K, TALEBI S, SHAHIDI A R. Analysis of the buckling of rectangular nanoplates by use of finite-difference method[J]. Meccanica, 2014, 49(6): 1443-1455. doi: 10.1007/s11012-014-9917-x
|
[7] |
LOPATIN A V, MOROZOV E V. Buckling of the composite sandwich cylindrical shell with clamped ends under uniform external pressure[J]. Composite Structures, 2015, 122: 209-216. doi: 10.1016/j.compstruct.2014.11.048
|
[8] |
LOPATIN A V, MOROZOV E V. Buckling of composite cylindrical shells with rigid end disks under hydrostatic pressure[J]. Composite Structures, 2017, 173: 136-143. doi: 10.1016/j.compstruct.2017.03.109
|
[9] |
张磊, 张文明, 王林, 等. 基于小波Galerkin法的矩形薄板二次屈曲分析[J]. 应用数学和力学, 2023, 44(1): 25-35. doi: 10.21656/1000-0887.430097
ZHANG Lei, ZHANG Wenming, WANG Lin, et al. Secondary buckling analysis of thin rectangular plates based on the wavelet Galerkin method[J]. Applied Mathematics and Mechanics, 2023, 44(1): 25-35. (in Chinese) doi: 10.21656/1000-0887.430097
|
[10] |
GHAHFAROKHI D S, RAHIMI G. An analytical approach for global buckling of composite sandwich cylindrical shells with lattice cores[J]. International Journal of Solids and Structures, 2018, 146: 69-79. doi: 10.1016/j.ijsolstr.2018.03.021
|
[11] |
SAFARPOUR H, GHANBARI B, GHADIRI M. Buckling and free vibration analysis of high speed rotating carbon nanotube reinforced cylindrical piezoelectric shell[J]. Applied Mathematical Modelling, 2019, 65: 428-442. doi: 10.1016/j.apm.2018.08.028
|
[12] |
YOSHIDA K, SADAMOTO S, SETOYAMA Y, et al. Meshfree flat-shell formulation for evaluating linear buckling loads and mode shapes of structural plates[J]. Journal of Marine Science and Technology, 2017, 22(3): 501-512. doi: 10.1007/s00773-017-0433-2
|
[13] |
ZOU R D, FOSTER C G. Simple solution for buckling of orthotropic circular cylindrical shells[J]. Thin-Walled Structures, 1995, 22(3): 143-158. doi: 10.1016/0263-8231(94)00026-V
|
[14] |
张俊霖, 倪一文, 李庆东, 等. 吸湿老化影响下天然纤维增强复合圆柱壳屈曲分析的辛方法[J]. 应用数学和力学, 2021, 42(12): 1238-1247. doi: 10.21656/1000-0887.420018
ZHANG Junlin, NI Yiwen, LI Qingdong, et al. A symplectic approach for buckling analysis of natural fiber reinforced composite shells under hygrothermal aging[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1238-1247. (in Chinese) doi: 10.21656/1000-0887.420018
|
[15] |
桂夷斐, 马建敏. 弹性介质中受轴向冲击载荷作用的圆柱壳的屈曲临界载荷计算分析[J]. 应用数学和力学, 2020, 41(4): 353-366. doi: 10.21656/1000-0887.400137
GUI Yifei, MA Jianmin. Buckling critical load calculation and analysis of axially impacted cylindrical shells embedded in elastic media[J]. Applied Mathematics and Mechanics, 2020, 41(4): 353-366. (in Chinese) doi: 10.21656/1000-0887.400137
|
[16] |
SUN F, FAN H, ZHOU C, et al. Equivalent analysis and failure prediction of quasi-isotropic composite sandwich cylinder with lattice core under uniaxial compression[J]. Composite Structures, 2013, 101: 180-190. doi: 10.1016/j.compstruct.2013.02.005
|
[17] |
CHEN W, LIU D, KITIPORNCHAI S, et al. Bifurcation of pressurized functionally graded elastomeric hollow cylinders[J]. Composites (Part B): Engineering, 2017, 109: 259-276. doi: 10.1016/j.compositesb.2016.10.063
|
[18] |
REDDY J, STARNES J. General buckling of stiffened circular cylindrical-shells according to a layerwise theory[J]. Computers & Structures, 1993, 49(4): 605-616.
|
[19] |
SHADMEHRI F, HOA S, HOJJATI M. The effect of displacement field on bending, buckling, and vibration of cross-ply circular cylindrical shells[J]. Mechanics of Advanced Materials and Structures, 2014, 21(1): 14-22. doi: 10.1080/15376494.2012.677102
|
[20] |
LI R, ZHENG X, WANG H, et al. New analytic buckling solutions of rectangular thin plates with all edges free[J]. International Journal of Mechanical Sciences, 2018, 144: 67-73. doi: 10.1016/j.ijmecsci.2018.05.041
|
[21] |
LI R, ZHENG X, WANG P, et al. New analytic free vibration solutions of orthotropic rectangular plates by a novel symplectic approach[J]. Acta Mechanica, 2019, 230(9): 3087-3101. doi: 10.1007/s00707-019-02448-1
|
[22] |
王海阳. 矩形板屈曲问题的若干新解析解研究[D]. 硕士学位论文. 大连: 大连理工大学, 2019.
WANG Haiyang. New analytical buckling solutions of rectangular plates[D]. Master Thesis. Dalian: Dalian University of Technology, 2019. (in Chinese)
|
[23] |
DONNELL L. A new theory for the buckling of thin cylinders under axial compression and bending[J]. Trans ASME, 1934, 13: 795-806.
|
[24] |
姚伟岸, 钟万勰. 辛弹性力学[M]. 北京: 高等教育出版社, 2002.
YAO Weian, ZHONG Wanxie. Symplectic Elasticity[M]. Beijing: Higher Education Press, 2002. (in Chinese)
|
[25] |
ZHENG X, NI Z, XU D, et al. New analytic buckling solutions of non-Lévy-type cylindrical panels within the symplectic framework[J]. Applied Mathematical Modelling, 2021, 98: 398-415. doi: 10.1016/j.apm.2021.05.017
|
[26] |
CRAWLEY E. Natural-modes of graphite-epoxy cantilever plates and shells[J]. Journal of Composite Materials, 1979, 13: 195-205. doi: 10.1177/002199837901300302
|