基于薄板小挠度理论计算复合材料矩形薄壁管局部屈曲载荷

复合材料科学与工程 ›› 2019, Vol. 0 ›› Issue (11): 30-36.

基于薄板小挠度理论计算复合材料矩形薄壁管局部屈曲载荷

朱秀杰, 熊超^*, 尹德军, 殷军辉

陆军工程大学石家庄校区,石家庄 050003

收稿日期:2019-03-20 出版日期:2019-11-28 发布日期:2019-11-28
通讯作者: 熊超(1978-),男,博士,副教授,主要从事复合材料结构设计与力学分析方面的研究,xiongchao@tsinghua.org.cn。
作者简介:朱秀杰(1994-),男,硕士,主要从事复合材料结构设计与力学分析方面的研究。
基金资助:
军队重点攻关项目(ZS2015070132A12002)

CALCULATION OF LOCAL BUCKLING LOAD OF COMPOSITE THIN RECTANGULAR TUBE BASED ON THIN PLATE DEFLECTION THEORY

ZHU Xiu-jie, XIONG Chao^*, YIN De-jun, YIN Jun-hui

Shijiazhuang Campus, Army Engineering University, Shijiazhuang 050003, China

Received:2019-03-20 Online:2019-11-28 Published:2019-11-28

摘要/Abstract

摘要： 提出一种复合材料矩形薄壁管轴压局部屈曲载荷的计算方法。将轴压载荷作用下的复合材料矩形薄壁管的壁板视为单向受压各向异性板,在其平衡微分方程的解中引入弹性嵌固系数,得到了复合材料矩形薄壁管局部屈曲载荷的解析式。与文献中的试验数据和本文的有限元结果进行了对比,验证了计算模型的正确性。通过对4种铺层复合材料矩形薄壁管等效刚度系数进行定量计算分析了计算模型的适用范围。结合复合材料杆件欧拉屈曲载荷的计算公式,得出了综合考虑整体失稳和局部失稳的屈曲载荷的计算公式。研究发现在铺层参数不变时,存在区分发生局部屈曲和欧拉屈曲的临界长宽比。

关键词: 复合材料矩形薄壁管, 局部屈曲, 欧拉屈曲, 层合板刚度系数

Abstract: A calculation method for the local buckling load of a composite rectangular thin-walled tube is proposed. The wall plate of the composite rectangular thin-walled tube under the axial compression load is regarded as the one-way compression anisotropic plate, and the elastic embedded coefficient is introduced into the solution of the equilibrium differential equation, and the rectangular thin-walled tube of the composite material is obtained, as well as the analytical formula of the buckling load. Compared with the experimental data in the literature and the finite element results of this paper, the correctness of the computational model is verified. The applicable range of the calculation model is analyzed by quantitative calculation of the equivalent stiffness coefficients of four kinds of laminated composite rectangular thin-walled tubes. Combined with the calculation formula of Euler′s buckling load of composite members, the calculation formula of buckling load considering the overall instability and local instability is obtained. It is found that when the layup parameters are constant, there is a critical aspect ratio that distinguishes between local buckling and Euler buckling.

Key words: composite rectangular thin-walled tube, local buckling, euler buckling, laminated plate stiffness
coefficient

中图分类号:

TB332

朱秀杰, 熊超, 尹德军, 殷军辉. 基于薄板小挠度理论计算复合材料矩形薄壁管局部屈曲载荷[J]. 复合材料科学与工程, 2019, 0(11): 30-36.

ZHU Xiu-jie, XIONG Chao, YIN De-jun, YIN Jun-hui. CALCULATION OF LOCAL BUCKLING LOAD OF COMPOSITE THIN RECTANGULAR TUBE BASED ON THIN PLATE DEFLECTION THEORY[J]. Composites Science and Engineering, 2019, 0(11): 30-36.

参考文献

[1] Ye L, Lu G, Ong L S. Buckling of a thin-walled cylindrical shell with foam core under axial compression[J]. Thin-walled Structures, 2011, 49(1): 106-111.
[2] Weaver P M. Design of laminated composite cylindrical shell under axial compression[J]. Composites Part B: Engineering, 2000(31): 669-679.
[3] Spagnoli A, Elghazouli A Y. Numerical simulation of glass-reinforced plastic cylinders under axial compression[J]. Marine Structures, 2001, 14: 353-374.
[4] Rafea D H, Dong R, Lu G X. An analytical model of square CFRP tubes subjected to axial compression[J]. Composites Science and Technology, 2018, 68: 170-178.
[5] Paweil C, Tomasz K. Numerical and experimental investigations of the post-buckling behaviour of square cross-section composite tubes[J]. Composite Structures, 2015, 132: 1160-1167.
[6] Daniel C T C ardose, Kent A Harries, Eduardo de M Batista. Compressive strength equation for GFRP square tube columns[J]. Composites: Part B, 2014, 59: 1-11.
[7] Thuc Phuong Vo, Jaehong Lee. Flexural-torsional buckling of thin-walled composite box beams[J]. Thin-Walled Structures, 2007, 45: 790-798.
[8] Thuc Phuong Vo, Jaehong Lee. Interaction curves for vibration and buckling of thin-walled composite box beams under axial loads and end moments[J]. Applied Mathematical Modelling, 2010, 34: 3142-3157.
[9] Zureick A, Yoon S, Scott D. Short-term behavior and design of fiber-reinforced polymeric slender members under axial compression[J]. Journal of Composite for Construction, 1997(4): 140-149.
[10] 包世华, 周坚. 薄壁杆件结构力学[M]. 北京: 中国建筑工业出版社, 2006: 1-4.
[11] 赵美英, 闽梅贞. 复合材料结构力学与结构设计[M]. 西安: 西安工业大学出版社, 2007: 40-50.
[12] 董军. 钢结构基本原理[M]. 重庆: 重庆大学出版社, 2010: 114-117.
[13] 张晓虎, 孙秦, 毋玲. 复合材料闭剖面加筋薄壁梁刚度系数计算分析[J]. 航天工程进展, 2012(4): 446-452.
[14] Weaver P M, Driesen J R, Roberts P. Anisotropic effects in the compression buckling of laminated composite cylindrical shells[J]. Composites Science and Technology, 2002, 91-105.
[15] Thuc Phuong Vo, Jaehong Lee. Flexural-torsional behavior of thin-walled composite box beams using shear-deformable beam theory[J]. Engineering Structures, 2008, 30: 1958-1968.