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.
参考文献
| [1] | Stemple T.Extensional beam-columns:At exact theory[J].Internat J Non-Linear Mech,1990,25(6):615-623 |
| [2] | 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. |
| [3] | Filipich C P,Rosales M B.A further study on the postbuckling of extensible elastic rods[J].International Journal of Non-Linear Mechanics,2000,35 (6):997-1022. |
| [4] | 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 postbuckling of heated elastic rods[J].Applied Mathematics and Mechanics,2000,21(2):119-125. |
| [5] | Leipholz H.Stabulity of elastic systems[M].Alphen aan den Rijin:Sijthoff & Noordhoff,1980. |
| [6] | 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. |
| [7] | 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. |
| [8] | Koizumi M.The concept of FGM:Ceramic transitions[J].Functionally Gradient Materials,1993,34:3-10. |
| [9] | 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. |
| [10] | 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. |
| [11] | 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. |
| [12] | 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 |
| [13] | 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. |
| [14] | 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. |
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