摘要
基于经典板理论,推导了功能梯度材料圆形板在边界面内均布压力作用下的轴对称屈曲方程.假设功能梯度材料性质沿板厚度方向按成分含量百分比的幂指数形式连续变化,用打靶法求解所得方程,得到了功能梯度材料圆(环)板的临界屈曲载荷,并分析了材料的梯度性质、内外半径比以及边界条件对板临界载荷的影响.
Based on the classical plate theory, axisymmetric buckling equations are derived for a circular/annular functionally-graded plate subjected to uniformly distributive in-plane pressure. The material properties of the functionally graded plates are assumed to vary continuously through plate thickness as the power function of the volume fraction of the constituents of plate material. The resulting differential equations are solved numerically by using the shooting method and the critical buckling loads of circular or annular plates are obtained. Effects of the material properties, ratio between inner and outer radius, and boundary conditions on the buckling behavior of plates with functionally graded material are discussed, also.
出处
《甘肃工业大学学报》
CAS
北大核心
2003年第4期140-143,共4页
Journal of Gansu University of Technology
基金
甘肃省自然科学基金(ZS022 A25 002)
