赵凤群, 王忠民, 刘宏昭. 非保守功能梯度材料杆的后屈曲分析[J]. 工程力学, 2007, 24(6): 54-058.
引用本文: 赵凤群, 王忠民, 刘宏昭. 非保守功能梯度材料杆的后屈曲分析[J]. 工程力学, 2007, 24(6): 54-058.
ZHAO Feng-qun, WANG Zhong-min, LIU Hong-zhao. POST-BUCKLING ANALYSIS OF FGM BEAM SUBJECTED TO NON-CONSERVATIVE FORCES[J]. Engineering Mechanics, 2007, 24(6): 54-058.
Citation: ZHAO Feng-qun, WANG Zhong-min, LIU Hong-zhao. POST-BUCKLING ANALYSIS OF FGM BEAM SUBJECTED TO NON-CONSERVATIVE FORCES[J]. Engineering Mechanics, 2007, 24(6): 54-058.

非保守功能梯度材料杆的后屈曲分析

POST-BUCKLING ANALYSIS OF FGM BEAM SUBJECTED TO NON-CONSERVATIVE FORCES

  • 摘要: 对受切向均布随从力作用的右端可移简支功能梯度材料(FGM)杆,基于轴线可伸长杆的大变形理论建立了非线性控制微分方程组,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,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,讨论了FGM杆长高比对其后屈曲特性的影响。

     

    Abstract: Based on the large deformation theory of extensible elastic rod, nonlinear governing differential equations of removable simply supported functionally graded material (FGM) rod subjected to a uniformly distributed tangential follower force along the central axis are established. By using shooting method, the post-buckling behaviors of FGM rod made of metal and ceramic are analyzed. The post-buckling characteristics curves of FGM rod under the different graded index are plotted, and compared with the properties of metal and ceramic material rods. The influence of the length-to-height ratio of rectangular cross-section on the post-buckling behaviors of FGM rod is discussed.

     

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