摘要
基于经典板理论,假设材料性质为板厚度方向坐标的幂函数,推导了功能梯度材料矩形板在热荷载作用下的平衡方程和稳定方程。给出了四边简支的功能梯度板在均匀受热时临界屈曲温度变化的封闭解,讨论了板的几何外形尺寸、相对厚度、梯度指数以及中面变形等因素对临界屈曲温度变化的影响。
Based on the classical plate theory, the equilibrium and stability equations of a rectangular plate made of functionally graded material subjected to thermal loading condition are derived. The material properties are assumed to vary as a power form of thickness coordinate variable. Closed form solutions for a simply supported rectangular plate made of functionally graded material under uniform heat change are presented. The influences of the plate aspect ratio, relative thickness of plate functionally gradient index, and displacements of neural plate plane on the buckling temperature difference are discussed.
出处
《工程力学》
EI
CSCD
北大核心
2004年第2期152-156,166,共6页
Engineering Mechanics
关键词
板稳定
热屈曲
矩形板
功能梯度材料
plate stability
thermal buckling
rectangular plate
functionally graded material
