含多处任意脱层层合梁屈曲的微分求积解法

韩海涛; 张 铮; 卢子兴

含多处任意脱层层合梁屈曲的微分求积解法

北京航空航天大学航空科学与工程学院, 北京 100191

基金项目: 凡舟基金资助项目(20070501); 北京市教育委员会共建项目(XK100060522)

详细信息

作者简介:
韩海涛(1982-),男,河北保定人,博士生,hht8@sohu.com.

中图分类号: TB 332
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出版历程
- 收稿日期: 2008-12-17
- 网络出版日期: 2010-01-31

Differential quadrature solutions for buckling of laminated beams with multiple arbitrary delaminations

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 基于铁木辛柯(Timoshenko)梁理论,建立了含任意脱层的复合梁模型,并利用微分求积DQ(Differential Quadrature)法,研究了含多处任意脱层层合梁的屈曲问题.该复合梁模型给出的含单脱层层合梁的临界屈曲载荷计算结果与相关文献结果一致.此外,以两端固支,含两个任意长度、任意深度贯穿脱层的层合梁为例,分析了脱层长度、深度以及相对位置对屈曲载荷的影响.为工程结构设计和分析提供了一种简单有效的方法,给出了一些有参考价值的结果.
- 脱层 /
- 屈曲 /
- 层合复合材料 /
- 微分求积法
Abstract: Based on Timoshenko beam theory, a multi-beam model was presented for buckling analysis of laminated beams with arbitrary multiple delaminations, using differential quadrature (DQ) method. Comparisons showed high consistent between the critical buckling loads of the model with a single delamination and those coming from relative references. The investigations of the clamped beams were made to reveal the influences of the length, the depth and the positions of the delaminations on buckling loads. The configuration including a beam with two across-the-width delaminations with arbitrary lengths and located at arbitrary depths was studied. DQ method provides a simple and effective method for the buckling analysis of laminated beams with arbitrary multiple across-the-width delaminations, and provides some valuable results for design of laminated structures.
- delamination /
- buckling /
- laminated composites /
- differential quadrature method

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参考文献(1)

[1] Rodman U, Saje M, Planinc I, et al.Exact buckling analysis of composite elastic columns including multiple delaminations and transverse shear [J].Engineering Structures, 2009,89(2):380-390 [2] Aslan Z, Sahin M.Buckling behavior and compressive failure of composite laminates containing multiple large delaminations[J].Composite Structures, 2009,89(3):382-390 [3] 朱菊芬, 牛海英.双分层损伤层合梁屈曲有限元分析[J].大连理工大学学报, 2004, 44(1): 20-25 Zhu Jufen, Niu Haiying.FE analysis of double delamination damage of composite beam buckling[J].Journal of Dalian University of Technology, 2004, 44(1): 20-25(in Chinese) [4] Moradi S, Taheri F.Application of differential quadrature method to the delamination buckling of composite plates[J].Computers and Structures, 1999, 70(6): 615-623 [5] MSRao P, Sylvain D, Shu D W, et al.Buckling analysis of tri-layer beams with multiple separated delaminations[J].Composite Structures, 2004,66 (1/2/3/4): 53-60 [6] Chai H, Babcock C D, Knauss W G.One dimensional modeling of failure in laminated plates by delamination buckling [J].Journal of Solids and Structures, 1981, 17(11):1069-1083 [7] Chen H P.Shear deformation theory for compressive delamination buckling and growth[J].AIAA Journal, 1991, 29(5): 813-819 [8] 蒋莉, 张志民.湿热问题全复合材料夹层板面芯分层屈曲研究[J].北京航空航天大学学报, 2002,28(4):438-442 Jiang Li, Zhang Zhimin.Bucking delaminating of composite sandwich plates under hygrothermal conditions [J].Journal of Beijing University of Aeronautics and Astronautics, 2002, 28(4):438-441(in Chinese) [9] Bert C W, Malik M.Differential quadrature method in computational mechanics: a review [J].Applied Mechanics Reviews, 1996, 49(1): 1-27 [10] Shu C.Differential quadrature and its application in engineering [M].Berlin: Springer, 2000: 186-266 [11] Bellman R, Casti J.Differential quadrature and long-term integration[J].Journal of Mathematical Analysis and Applications,1971, 34(2): 235-238

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