功能梯度材料杆的热后屈曲分析  

Thermal Post-buckling Analyses of Functionally Graded Material Rod

作　　者：赵凤群[1] 王忠民[1] 刘宏昭[2] 

机构地区：[1]西安理工大学理学院,西安710048 [2]西安理工大学机械与精密仪器工程学院,西安710048

出　　处：《应用数学和力学》2007年第1期53-60,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(50575180);陕西省自然科学基础研究计划资助项目(2005A18)

摘　　要：对两端不可移简支陶瓷-金属功能梯度材料(FGM)杆建立了在热载荷作用下的非线性控制微分方程,采用打靶法分析了由二氧化锆和Ti-6Al-4V两种材料组成的FGM杆的热后屈曲行为.首先给出了在均匀温度场中不同梯度指标的FGM杆的热后屈曲平衡路径,并与二氧化锆和Ti-6Al-4V两种均质材料杆的相应特性进行了比较,同时讨论了不同端部转角下梯度指标对FGM杆稳定性的影响;然后分别研究了在温差一定、下表面温度变化时和在下表面温度一定、温差变化时FGM杆的热后屈曲特性,也与两种均质材料杆的后屈曲特性进行了比较.The non-linear governing differential equations of immovably simply supported functionally graded material （FGM） rod subjected to thermal loads were derived. The thermal post-buckling behaviors of FGM rod made of ZrO2 and Ti-6Al-4V were analyzed by shooting method. Firstly, the thermal post-buckling equilibrium paths of the FGM rod with different gradient index in the uniform temperature field were plotted, and compared with the behaviors of the homogeneous rods made of ZrO2 and Ti-6Al-4V materials respectively. For given value of end rotation angles, the influence of gradient index on the thermal post-buckling behaviors of FGM rod was discussed. Secondly, the thermal post-buckling characteristics of the FGM rod were analyzed when the temperature difference parameter is changing while the bottom temperature parameter remains constant, and when the bosom temperature parameter is changing while the temperature difference parameter remains constant, and compared with the characteristics of the two homogeneous material rods.

关 键 词：功能梯度材料杆 热后屈曲 打靶法 

分 类 号：O343[理学—固体力学]