Post-buckling performance of 1/3 composite cylindrical shell with cover
-
摘要:
工程结构中复合材料柱壳已经得到了广泛使用,并且屈曲是其结构设计的一个主要问题。由于试验结果与线性屈曲理论分析结果的巨大偏差,线性特征值屈曲分析只能作为结构的一个初步评估方法,进一步分析可选用含初始几何缺陷的后屈曲分析。本文以轴压载荷下的1/3含口盖复合材料柱壳为研究对象,建立ABAQUS有限元模型,分别进行了基于Buckle算法的线性特征值屈曲分析、基于Riks法的含初始几何缺陷的非线性后屈曲分析,所得应变、载荷数值结果与试验结果吻合。非线性Riks后屈曲分析显示结构具有后屈曲承载能力和稳定的后屈曲平衡路径,能更准确地捕捉临界屈曲载荷,所得屈曲模态也更加贴近试验屈曲模态,因此,在设计上以含初始几何缺陷的Riks法得到的结果更加真实可靠。进行了含口盖复合材料柱壳的初始几何缺陷的敏感性分析,结果表明该结构对初始几何缺陷是非常敏感的,为了提高结构抗屈曲性能,应提高加工工艺质量,减少初始几何缺陷。
Abstract:Composite cylindrical shells are already commonly used in structural engineering, and their buckling is of vital importance in the design of such structures. The linear eigenvalue problem can be used as an initial analysis method due to the huge discrepancies observed between test results and theoretical predictions, and one can choose the geometrically nonlinear analysis for further study. The one-third composite cylindrical shells with cover were chosen as research object loaded in compression, and an ABAQUS finite element model was built at first. A linear eigenvalue analysis based on Buckle algorithm and a geometrically nonlinear post-buckling analysis based on Riks algorithm are developed for this research. The strain and load numerical results were matched well with test results. The Riks analysis shows that the structure has the post-buckling carrying capacity and can also reach a stable nonlinear equilibrium path, grasping the critical buckling load accurately, and the buckling modes are more close to the test ones. Therefore, it is more reliable to take the result based on geometrically nonlinear Riks algorithm as design criteria. A general geometrically imperfection sensitivity analysis is performed. The study shows that the cover shell is sensitive to imperfection, and we should improve the quality of processing and reduce the initial geometric imperfection in order to enhance stable performance.
-
Key words:
- composite /
- cylindrical shell /
- buckling /
- post-buckling /
- initial geometric imperfection
-
表 1 柱壳铺层复合材料的力学性能
Table 1. Mechanical properties of composite used in cylindrical shell
材料 E11/GPa E22/GPa G12/GPa μ12 t/mm 单向带T300/6808 117 8.00 3.00 0.300 0.160 0.125 织物G814/6084 63.0 63.0 4.10 0.060 0.240 注:E11—1方向弹性模量;E22—2方向弹性模量;G12—1-2平面内剪切模量;μ12—泊松比;t—单层厚度。 表 2 柱壳不同位置的材料及铺层方式
Table 2. Materials and ply sequences of different parts on cylindrical shells
结构 材料 铺层方式 层数 蒙皮 单向带T300/6808 (0.160 mm) [45/-45/02/90]S 10 纵向筋条 单向带T300/6808 (0.125 mm) [45/-45/02/45/-45/0/90]S 16 横向筋条 单向带T300/6808 (0.125 mm) [-45/45/902/-45/45/90/0]S 16 两侧加强筋 单向带T300/6808 (0.125 mm)
[45/-45/02/45/-45/0/902/0/-45/45/02/-45/452/-45/02/45/-45/0/902/0/-45/45/02 /-45/45]S64 补片 织物G814/6084 [011] 11 口盖 织物G814/6084 [011] 11 -
[1] 范舟, 程小全, 李钟海, 等.带口盖复合材料柱面壳压缩性能[J].北京航空航天大学学报, 2013, 39(1):89-94. http://bhxb.buaa.edu.cn/CN/abstract/abstract12509.shtmlFAN Z, CHENG X Q, LI Z H, et al.Compressive behavior of composite cylinder shell[J].Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(1):89-94(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract12509.shtml [2] JABAREEN M, SHEINMAN I.Buckling and sensitivity to imperfection of conical shells under dynamic step-loading[J].Journal of Applied Mechanics, 2007, 74(1):74-80. doi: 10.1115/1.2178836 [3] SHEINMAN I, JABAREEN M.Postbuckling of laminated cylindrical shells in different formulations[J].AIAA Journal, 2005, 43(5):1117-1123. doi: 10.2514/1.11557 [4] JABAREEN M.Rigorous buckling of laminated cylindrical shells[J].Thin-Walled Structures, 2009, 47(2):233-240. http://www.sciencedirect.com/science/article/pii/S0263823108001481 [5] GOLDFELD Y.Elastic buckling and imperfection sensitivity of generally stiffened conical shells[J].AIAA Journal, 2007, 45(3):721-729. doi: 10.2514/1.25830 [6] SHEINMAN I, GOLDFELD Y.Buckling of laminated cylindrical shells in terms of different theories and formulations[J].AIAA Journal, 2012, 39(9):1773-1781. http://cat.inist.fr/?aModele=afficheN&cpsidt=1107472 [7] SHEINMAN I, GOLDFELD Y.Shell theory accuracy with regard to initial postbuckling behavior of cylindrical shell[J].AIAA Journal, 2012, 42(2):429-432. https://www.researchgate.net/publication/245425503_Shell_Theory_Accuracy_with_Regard_to_Initial_Postbuckling_Behavior_of_Cylindrical_Shell [8] SPAGNOLI A, CHRYSSANTHOPOULOS M K.Elastic buckling and postbuckling behaviour of widely-stiffened conical shells under axial compression[J].Engineering Structures, 1999, 21(9):845-855. http://www.sciencedirect.com/science/article/pii/S0141029698000364 [9] 李钟海, 程小全, 汪源龙, 等.复合材料柱面壳压缩性能分析[J].复合材料学报, 2011, 28(1):206-210. http://www.cnki.com.cn/Article/CJFDTOTAL-FUHE201101036.htmLI Z H, CHENG X Q, WANG Y L, et al.Compressive properties analysis of composite cylindrical shells[J].Acta Materiae Compositae Sinica, 2011, 28(1):206-210(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-FUHE201101036.htm [10] 阎崇年, 范舟, 程小全, 等.含开口复合材料柱面壳压缩性能[J].北京航空航天大学学报, 2012, 38(10):920-924. http://bhxb.buaa.edu.cn/CN/abstract/abstract12338.shtmlYAN C N, FAN Z, CHENG X Q, et al.Compressive behavior of composite cylindrical shell with open hole[J].Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(10):920-924(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract12338.shtml [11] 王珂晟, 刘国强, 朱晓莹.含初始缺陷的加强复合材料圆柱壳的非线性屈曲分析[J].机械设计与制造, 2004(2):63-65. http://www.cnki.com.cn/Article/CJFDTOTAL-JSYZ200402027.htmWANG K S, LIU G Q, ZHU X Y.Analysis on nonlinear buckling of reinforced laminated composite cylindrical shell with initial imperfection[J].Machinery Design and Manufacture, 2004(2):63-65(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JSYZ200402027.htm [12] 王毅, 罗永峰, 沈惠申.各向异性复合材料圆柱薄壳轴压下的屈曲性能[J].同济大学学报, 2002, 30(6):673-679. http://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ200206005.htmWANG Y, LUO Y F, SHEN H S.Post buckling analysis imperfect stiffened laminated cylindrical shell under axial compression[J].Journal of Tongji University, 2002, 30(6):673-679(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ200206005.htm [13] HILBURGER M W, STARNES J H JR.Buckling behavior of compression-loaded composite cylindrical shells with reinforced cutouts[J].International Journal of Non-Linear Mechanics, 2005, 40(7):1005-1021. http://www.sciencedirect.com/science/article/pii/S0020746205000120 [14] 武鹏飞, 程小全, 张纪奎, 等.开口及边界条件对复合材料三分之一柱面壳压缩屈曲性能的影响[J].复合材料学报, 2014, 31(6):1525-1531. http://www.cnki.com.cn/Article/CJFDTOTAL-FUHE201406020.htmWU P F, CHENG X Q, ZHANG J K, et al.Effect of opening and boundary conditions on compressive buckling properties of composite one-third cylindrical shell[J].Acta Materiae Compositae Sinica, 2014, 31(6):1525-1531(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-FUHE201406020.htm [15] 杜启端.现代薄壳非线性稳定性理论的发展和应用[J].强度与环境, 2002, 29(1):41-51. http://www.cnki.com.cn/Article/CJFDTOTAL-QDHJ200201006.htmDU Q R.The development and application of modern nonlinear stability theory of thin shell[J].Structure & Environment Engineering, 2002, 29(1):41-51(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-QDHJ200201006.htm