|
|
- 2017
复合材料加筋结构后屈曲的自开发程序
|
Abstract:
针对复合材料层合加筋结构的后屈曲问题，开发出自编Fortran程序，并嵌入Patran进行前后处理。采用该程序计算出线性屈曲模态，将其作为后屈曲非线性计算的初始挠度；采用增量迭代技术、弧长控制及能量收敛准则求解非线性方程；最后引入复合材料Tsai-Hill失效准则，对单元的损伤进行判断及刚度折减。采用复合材料加筋板的压缩试验对该系统进行初步验证。针对不同加载方式、选材及结构型式的机翼盒段，利用该系统进行后屈曲计算和分析，数值结果与试验数据吻合较好。 Aircraft structures of advanced composites are usually designed to post-buckling stage so that the most loading capability could be yielded. For the problem of post-buckling of composite stiffened plate structures, the self-developed program was introduced, which was embedded into software Patran as processing and post processing. The static buckling mode was calculated by this self-developed program, and then the mode was assumed as the initiation deflection for calculating post-buckling. The nonlinear equations were solved by increment iterative, arc-length control and energy convergence criterion. Introducing Tsai-Hill criterion of composite materials failure, the damage information of elements were judged and degraded. The self-developed program was verified by the compression test of composite stiffened plate. The post-buckling capacities of composite wing boxes were calculated and experimentally carried out in different cases such as loading and materials choosing, and the numerical results were in good agreement with the test data.
| [1] | ZIMMERMANN R, ROLFES R. POSICOSS-improved postbuckling simulation for design of fiber composite stiffened fuselage structures[J]. Composite Structures, 2006, 73(2): 171-174. |
| [2] | 王海燕, 段世慧, 孙侠生. 复合材料加筋板后屈曲设计技术欧盟研究综述[J].航空工程进展, 2015, 6(2): 139-148. WANG H, DUAN S, SUN X. Review on the EU research projects of design and analysis of stiffened composite panels including post-buckling[J]. Advances in Aeronautical Science and Engineering, 2015, 6(2): 139-148 (in Chinese). |
| [3] | 刘从玉, 许希武, 陈康. 考虑脱粘的复合材料加筋板屈曲后屈曲及承载能力数值分析[J]. 复合材料学报, 2010, 27(6): 158-166. LIU C Y, XU X W, CHEN K. Buckling, post-buckling and collapse analysis of stiffened composite panels with debonding damage[J]. Acta Materiae Composiae Sinica, 2010, 27(6): 158-166 (in Chinese). |
| [4] | 中国航空研究院. 复合材料结构稳定性设计指南[M]. 北京:航空工业出版社, 2002: 1-10. Chinese Aeronautical Establishment. Composite structural stability design guidelines [M]. Beijing: Aviation Industry Press, 2002: 1-10 (in Chinese). |
| [5] | 刘承宗, 周志勇. 快速增量弧长法求解结构后屈曲问题[J]. 工程力学, 2002(增刊): 483-489. LIU C Z, ZHOU Z Y. Rapid increment arc length solving structural post-buckling problem[J]. Engineering Mechanics, 2002(Sup 1): 483-489 (in Chinese). |
| [6] | 刘斌, 韩庆, 钟小平. 基于MSC.PCL的飞机结构稳定性系统开发[J], 科学技术与工程, 2010, 10(28): 244-250. LIU B, HAN Q, ZHONG X P. Development of aircraft structure's stability system based on MSC.PCL[J]. Science Technology and Engineering, 2010, 10(28): 244-250 (in Chinese). |
| [7] | 王平安. 复合材料加筋板在剪切载荷下的屈曲特性研究[J]. 机械强度, 2009, 31(1): 078-082. WANG P A. Buckling performance analysis of stiffened composite plate under shear loading[J]. Journal of Mechanical Strength, 2009, 31(1): 078-082 (in Chinese). |
| [8] | LIU B, XU F, FENG W, et al. Experiment and design methods of composite scarf repair for primary-load bearing structures[J]. Composites Part A: Applied Science and Manufacturing, 2016, 88: 27-38. |
| [9] | 朱菊芬, 初晓婷. 一种改进的弧长法及在结构后屈曲分析中的应用[J]. 应用数学和力学, 2002, 23(9): 961-966. ZHU J F, CHU X T. An improved arc-length method and application in the post-buckling analysis for composite structures[J]. Applied Mathematics and Mechanics, 2002, 23(9): 961-966 (in Chinese). |
| [10] | 赵桂平, 赵锺斗. 基于改进弧长法的层压复合壳后屈曲反应分析[J]. 工程力学, 2003, 20(1): 106-111. ZHAO G P, ZHAO C D. Post-buckling analysis of laminated composite shell based on an improved arc-length method[J]. Engineering Mechanics, 2003, 20(1): 106-111 (in Chinese). |
| [11] | 马爱军, 周传月, 王旭. Patran和Nastran有限元分析专业教程[M]. 北京:清华大学出版社, 2005:1. MA A J, ZHOU C Y, WANG X. Patran and Nastran finite element analysis of professional tutorial [M]. Beijing: Tsinghua University Press, 2005: 1 (in Chinese). |
| [12] | 万力, 郭乙木. 杂交应力元的研究及其与MSC/Patran的集成[D]. 杭州:浙江大学, 2003. WAN L, GUO Y M. Research of hybrid stress FEM and its intergration with MSC/Patran [D]. Hangzhou: Zhejiang University, 2003 (in Chinese). |
| [13] | 王菲菲, 崔德刚, 熊强, 等. 复合材料加筋板后屈曲承载能力工程分析方法[J]. 北京航空航天大学学报, 2013, 39(4): 494-497. WANG F F, CUI D G, XIONG Q, et al. An engineering analysis of post-buckling load capability for composite stiffened panels[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(4): 494-497 (in Chinese). |
| [14] | 王燕, 李书, 许秋怡, 等. 复合材料加筋板剪切后屈曲分析与优化设计[J]. 航空学报, 2016, 37(5): 1512-1525. WANG Y, LI S, XU Q Y, et al. Optimization design and analysis of stiffened composite panels in post-buckling under shear[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(5): 1512-1525 (in Chinese). |
| [15] | 崔德刚. 结构稳定性设计手册[M]. 北京: 航空工业出版社, 2006: 1-3. CUI D. The manual of structure stability design[M].Beijing: Aviation Industry Press, 2006:1-3 (in Chinese). |
| [16] | REZAIEE-PAJAND M, ESTIRI H. Computing the structural buckling limit load by using dynamic relaxation method[J]. International Journal of Non-Linear Mechanics, 2016, 81: 245-260. |
| [17] | ASEMI K, SHARIYAT M. Three-dimensional biaxial post-buckling analysis of heterogeneous auxetic rectangular plates on elastic foundations by new criteria[J]. Computer Methods in Applied Mechanics and Engineering, 2016, 302: 1-26. |
| [18] | NASIRMANESH A, MOHAMMADI S. XFEM buckling analysis of cracked composite plates[J]. Composite Structures, 2015, 131: 333-343. |
| [19] | VENKATACHARI A, NATARAJAN S, GANAPATHI M, et al. Mechanical buckling of curvilinear fibre composite laminate with material discontinuities and environmental effects[J]. Composite Structures, 2015, 131: 790-798. |
| [20] | NGUYEN X H, KIM N I, LEE J. Optimum design of thin-walled composite beams for flexural-torsional buckling problem[J]. Composite Structures, 2015, 132: 1065-1074. |
| [21] | 朱菊芬, 陈绍杰. 复合材料加筋板后屈曲强度工程分析方法探讨[J]. 航空学报, 1991, 12(12): 639-642. ZHU J F, CHEN S J. Engineering method research of post-buckling strength for composite stiffened panels[J]. Acta Aeronautica et Astronautica Sinica, 1991, 12(12): 639-642 (in Chinese). |
| [22] | 朱菊芬, 汪海, 成万植. 复合材料层合板的二次失稳和破坏研究[J]. 航空学报, 1991, 12(9): 452-458. ZHU J F, WANG H, CHENG W Z. Secondary bifurcation and failure study of composite laminates[J]. Acta Aeronautica et Astronautica Sinica, 1991, 12(9): 452-458 (in Chinese). |
| [23] | 郭乙木, 陶伟明, 庄茁. 线性与非线性有限元及其应用[M]. 北京:机械工业出版社, 2003, 10. GUO Y M, TAO W M, ZHUANG Z. Linear and nonlinear finite element method and its applications[J]. Beijing: China Machine Press, 2003, 10 (in Chinese). |
| [24] | 朱菊芬, 杨海平. 求解结构后屈曲路径的加速弧长法[J]. 大连理工大学学报, 1994, 34(1): 17-21. ZHU J F, YANG H P. Accelerated arc-length method for solving post-buckling path of structures[J]. Journal of Dalian University of Technology, 1994, 34(1): 17-21 (in Chinese). |
| [25] | 张永昌. MSC.Nastran有限元分析理论基础与应用[M].北京:科学出版社, 2004:11. ZHANG Y C. MSC. Nastran finite element analysis of theoretical basis and application [M]. Beijing: Science Press, 2004:11 (in Chinese). |
