Geometry nonlinear analysis of composite thin walled beams
-
摘要: 根据复合材料薄壁梁变形的特点,假设截面有面外翘曲,应变沿薄壁厚度方向 呈二次曲线形式变化,采用9节点平面单元模拟复杂薄壁截面,用27节点体单元模拟面外翘 曲变形.在Hamilton原理基础上,采用非线性有限元理论,用T.L.法,将位移等状态量写成 增量形式后,推导出了任意复杂截面薄壁复合材料梁计入剪切翘曲大变形分析的几何刚度矩 阵,建立了一个新的任意复合材料薄壁截面梁几何非线性分析模型,并进行了算例验证.算 例表明,建立的模型正确,能够进行复合材料薄壁梁几何非线性分析;截面翘曲对复合 材料梁的变形影响明显;与相关文献做比较,说明了模型的优越性.Abstract: A new geometry nonlinear finite element model for composite thin walle d beams has been developed based on the complex deformation characteristic of th e composite thin walled beams. Supposed the strain quadratic varies along the th in-walled, introducing the complex cross-section of beam was simulated by 9-node pla ne element and the out-of-plane warping displacement was simulated by 27-node so lid element. Based on the Hamilton principle, nonlinear finite element theory an d the Total Lagrange formulation, the geometry stiffness matrix was formed. The analytical model is proved correct through several examples. The model can be used in analysis of thin-walled composite beams, the warping d e formation has evidently affected on composite thin walled beams, compared with r elated literatures numerical results, the advantage of this model has been showe d.
-
Key words:
- composite materials /
- thin-walled beam /
- geometry nonlinear analysis /
- warping /
- fi nite element
-
[1] Jung S N, Nagaraj V T, Chopra I. Assessment of composite rotor bl ade modeling techniques [J]. JAHS, 1999,44(3):188-205 [2] 王元丰,诸德超. 复合材料薄壁旋转梁的研究进展[J].力学进展, 1996,26(2):179-185 Wang Yuanfeng, Zhu Dechao. The development of study on composite thin-walled rot ating beams [J]. Advances in Mechanics,1996,26(2):179-185(in Chinese) [3] Seong MinJeon, Maeng HyoCho, Lee In. Static and dynamic analysis of composite box beams using large deflection theory [J]. Computer and Structure, 1995,57( 4):635-642 [4] Minguet P J, Duguudji J. Experiments and analysis for composite blades under large deflection[J]. AIAA,1990,28(5):1580-1588 [5] 向锦武.大变形复合材料柔性梁静、动特性分析与试验 .南京:南京航空航天大学航空宇航学院,1995 Xiang Jinwu. The static and dynamic analysis and experiment of composite large d eformation flex beams .Nanjing:College of Aerospace Engineering, Nanjing U niversity of Aeronautics and Astronautics,1995(in Chinese) [6] Stemple A D, Lee S W. A finite element model for composite beams with arbitra ry cross-sectional warping [J]. International Journal for Numerical Methods i n Engineering, 1987,24(12):304-313 [7] Stemple A D, Lee S W. A finite element model for composite beams undergoing l arge deflection with arbitrary cross-sectional warping [J]. International Jou rnal for Numerical Methods in Engineering, 1989,28(7):2143-2160 [8] 邓忠民,诸德超.复合材料薄壁梁限制扭转特性分析[J].北京航空航天大学学报,2000,26(1) :75-78 Deng Zhongmin, Zhu Dechao. Characteristic analysis of composite thin-walled bea ms under constrained torsion[J]. Journal of Beijing University of Aeronautics and Astronautics,2000,26(1):75-78(in Chinese) [9] 刘兵山,燕瑛,钱卫,等.复合材料机翼盒段的设计模态分析盒试验[J].北京航空航天大学学报,2003,29(11):1026-1028 Liu Bingshan, Yan Ying, Qian wei, et al. Design modal analysis and tests of com posites wing box [J]. Journal of Beijing University of Aeronautics and Astrona utics,2003,29(11):1026-1028(in Chinese) [10] Kane T R, Likins P W, Levinson D A. Spacecraft dynamics [M]. New York:McGr aw-Hill Inc, 1983 [11] Bathe K J. Finite element procedures in engineering analysis [M]. New York:Preatice-Hill Enlewood Cliffs NJ, 1982 [12] 蒋咏秋. 复合材料力学[M]. 西安:西安交通大学出版社,1990 Jiang Yongqiu. Composite material mechanics [M]. Xi′an:Xi′an Jiao Tong Univer sity Press,1990(in Chinese)
点击查看大图
计量
- 文章访问数: 3782
- HTML全文浏览量: 196
- PDF下载量: 936
- 被引次数: 0