加热梯度泡沫材料圆板的过屈曲  

Post-Buckling of Heated Gradient Foam Material Circular Plates

作　　者：李清禄[1] 闫鑫 

机构地区：[1]兰州理工大学工程力学系,甘肃兰州

出　　处：《力学研究》2019年第3期213-221,共9页International Journal of Mechanics Research

摘　　要：研究了梯度泡沫材料圆板的热过屈曲行为。基于von’Kaman经典板理论,假设泡沫梯度的密度沿厚度方向按照幂函数连续变化,建立了加热梯度泡圆板过屈曲控制微分方程。采用打靶法求解了加热泡沫材料圆板的过屈曲数值解,给出了圆板的热过屈曲平衡路径和平衡构形。数值结果表明:材料的梯度指数和边界条件对圆板过屈曲行为都有重要影响。The thermal post buckling behavior of graded foamed circular plates was studied.Based on the von’Kaman classical plate theory,assuming that the density of the foam gradient changes contin-uously along the thickness direction according to the power function,the governing equation for the buckling of a heated gradient foam plate was established.The post-buckling numerical solution of a heated foamed circular plate was solved by shooting method,and the thermal post-buckling equilibrium path and equilibrium configuration of the circular plate were given.The numerical results show that the gradient index and boundary conditions of materials have important effects on the post-buckling behavior of circular plates.

关 键 词：梯度泡沫材料 圆板 打靶法 热载荷 过屈曲 

分 类 号：O34[理学—固体力学]