功能梯度压杆后屈曲形态的数值计算  

NUMERICAL CALCULATION OF THE POST-BUCKING CONFIGURATION OF COMPRESSED FGM RODS

作　　者：李清禄[1] 李世荣[1] 

机构地区：[1]兰州理工大学理学院,兰州730050

出　　处：《力学与实践》2010年第6期39-42,共4页Mechanics in Engineering

基　　金：国家自然科学基金(10872083);教育部博士点基金(200807310002)资助项目

摘　　要：基于轴线可伸长杆的过屈曲精确数学模型,采用打靶法对两端简支功能梯度压杆后屈曲行为进行了数值分析.其中假设功能梯度梁的材料性质沿厚度方向按照幂函数连续变化.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,分析和讨论了载荷、材料的梯度指数、长细比对杆后屈曲平衡路径的影响.Based on an accurate mathematical model of the post-buckling of axially extensible rods,a numerical analysis of the post-buckling behavior of simply supported compressed FGM rods by a shooting method is proposed in this paper.In the analysis,it is assumed that the material properties of the rods vary continuously as a power function of the thickness coordinate.The post-buckling characteristic curves of FGM rods under different graded indices are obtained,and compared with those of pure metal and ceramic material rods.The effects of the load,material gradient property and slenderness on the buckling deformation of the beam are discussed in detail.

关 键 词：功能梯度杆 打靶法 后屈曲 平衡路径 数值解 

分 类 号：O343.7[理学—固体力学]