全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

功能梯度压杆在均布载荷作用下的后屈曲形态

, PP. 192-196

Keywords: 功能梯度材料杆,打靶法,后屈曲,平衡路径,数值解

Full-Text   Cite this paper   Add to My Lib

Abstract:

对受均布载荷作用功能梯度材料(FGM)压杆的屈曲及后屈曲行为进行了分析。基于杆的大变形理论,考虑杆的轴线伸长,建立了受均布载荷作用下细长FGM压杆的几何非线性平衡方程,其中假设FGM杆的性质沿厚度方向按照幂函数连续变化。采用打靶法和解析延拓法数值求解非线性两点边值问题,获得了一端自由一端固定FGM杆的后屈曲数值解。给出了不同梯度指标下FGM杆的后屈曲特征曲线,并与金属和陶瓷两种单相材料杆的相应特性进行了比较,分析和讨论了材料的梯度性质参数对杆变形的影响。结果表明:FGM杆后屈曲行为与各向同性均质杆有很大区别,梯度指数对杆的屈曲载荷以及后屈曲形态有明显的影响。

References

[1]  Wu Y, Li S R, Teng Z C. Post-buckling of a cantilever rod with variable cross-sections under combined load [J]. Applied Mathematics and Mechanics, 2003, 24(9): 1111-1118 .
[2]  Koizumi M. The concept of FGM: Ceramic transitions [J] . Functionally Gradient Materials, 1993, 34: 3-10.
[3]  钟 杰, 郑 勇, 张一欣. 功能梯度Ti(C, N)基金属陶瓷制备技术 [J].复合材料学报, 2009, 26(3): 111-115. Zhong Jie, Zheng Yong, Zhang Yixin . Fabrication technology of functionally graded Ti(C, N) based cermets [J]. Acta Materiae Compositae Sinica, 2009, 26(3): 111-115.
[4]  Liviu Librescu, Sang-Yong Oh, Ohseop Song. Thin-walled beams made of functionally graded materials and operating in a high temperature environment: Vibration and stability [J]. Journal of Thermal Stresses, 2005, 28(6): 649-712.
[5]  Li S R, Zhang J H, Zhao Y G.Thermal post-buckling of functionally graded material timoshenko beams[J]. Applied Mathematics and Mechanics, 2007, 27(6): 803-810.
[6]  赵凤群, 王忠明, 刘宏昭. 功能梯度材料杆的后屈曲分析 [J] .工程力学, 2004, 24(6): 54-58. Zhao Fengqun, Wang Zhongmin, Liu Hongzhao.Post-buckling analysis of FGM beam subjected to non-conservative forces [J]. Engineering Mechanics, 2004, 24(6): 54-58
[7]  程昌钧, 朱正佑. 结构的分叉与屈曲 [M].兰州: 兰州大学出版社, 1991.
[8]  Li S R, Zhou Y H, Zheng X J. Thermal post-buckling of a heated elastic rod with pinned-fixed ends [J] . Journal of Thermal Stresses, 2002, 25(1): 45-56.
[9]  Stemple T. Extensional beam-columns: An exact theory [J] . Internat J Non-Linear Mech, 1990, 25(6): 615-623
[10]  Pai P F, Palazotto A N, Greer Jr J M. Polar decomposition and appropriate strains and stresses for nonlinear structural analysis [J] . Comput Struct, 1998, 66(6): 823-840.
[11]  Filipich C P, Rosales M B. A further study on the post-buckling of extensible elastic rods [J] . International Journal of Non-Linear Mechanics, 2000, 35 (6): 997-1022.
[12]  李世荣, 程昌钧. 加热弹性杆的热过屈曲分析 [J].应用数学和力学, 2000, 21(2): 119-125. Li Shirong, Cheng Changjun. Analysis of thermal post-buckling of heated elastic rods [J]. Applied Mathematics and Mechanics, 2000, 21(2): 119-125.
[13]  Leipholz H. Stabulity of elastic systems [M].Alphen aan den Rijin: Sijthoff & Noordhoff, 1980.
[14]  刘 洋, 杨永波, 梁枢平. 轴向均布载荷下压杆稳定问题的DQ解 [J].力学与实践, 2005, 27(2): 44-46. Liu Yang, Yang Yongbo, Liang Shuping. The DQ solution of bucking of column under axial loading [J]. Mechanics and Practice, 2005, 27(2): 44-46.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133