赵凤群, 王忠民. 受非保守力作用的多支承FGM杆的后屈曲特性[J]. 工程力学, 2010, 27(7): 27-031.
引用本文: 赵凤群, 王忠民. 受非保守力作用的多支承FGM杆的后屈曲特性[J]. 工程力学, 2010, 27(7): 27-031.
ZHAO Feng-qun, WANG Zhong-min. POST-BUCKLING BEHAVIORS OF MULTI-SUPPORTED FGM ROD SUBJECTED TO NON-CONSERVATIVE FORCES[J]. Engineering Mechanics, 2010, 27(7): 27-031.
Citation: ZHAO Feng-qun, WANG Zhong-min. POST-BUCKLING BEHAVIORS OF MULTI-SUPPORTED FGM ROD SUBJECTED TO NON-CONSERVATIVE FORCES[J]. Engineering Mechanics, 2010, 27(7): 27-031.

受非保守力作用的多支承FGM杆的后屈曲特性

POST-BUCKLING BEHAVIORS OF MULTI-SUPPORTED FGM ROD SUBJECTED TO NON-CONSERVATIVE FORCES

  • 摘要: 对受切向均布随从力作用的具有多支承的功能梯度材料(FGM)杆,基于轴线可伸长杆的大变形理论建立了分段的非线性控制微分方程组,结合边界条件和连续性条件,用打靶法对由金属和陶瓷所构成的FGM杆的后屈曲特性进行了数值分析,讨论了随从力与不同梯度指标下FGM杆的端部转角、端部内力等量之间的变化关系,给出了各种后屈曲特征曲线及平衡构形,分析了支承位置对后屈曲特征及平衡构形的影响。

     

    Abstract: Based on the large deformation theory of an axial extensible elastic rod, the piecewise nonlinear governed differential equations for a multi-supported FGM rod subjected to a uniformly distributed tangential load are established. Combining with the continuous condition and the boundary condition, the post-buckling behaviors of a FGM rod made of metal and ceramic materials are analyzed by using shooting method. The relationships between the follower force, end rotation angle and end internal force of the FGM rod under the different gradient index are discussed. The post-buckling characteristic curves and the equilibrium configurations of the FGM rod are plotted. The influence of the supporting position on the post-buckling characteristics and the equilibrium configurations of the FGM rod are analyzed.

     

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