间接非均匀张拉圆板屈曲行为的有限元模拟与实验研究

Finite element simulation and experiment research on buckling behavior of an indirect and inhomogeneous stretched circular plate

采用有限元模拟结合实验的方法,通过张拉仅允许中央圆板发生面外位移的矩形板,分析圆板受间接非均匀张拉的屈曲行为.基于均匀受压圆板屈曲的结论,假定非均匀张拉圆板的临界屈曲荷载正比于杨氏模量,且正比于板厚(h)和圆板直径(d)之比的平方,采用一系列有限元分析拟合比例系数(临界屈曲系数).设计进行相关实验以验证模拟的可靠性.结果表明,临界屈曲系数的取值随结构长宽比(L/B)、泊松比和径宽比(d/B)的变化存在一定的规律.该工作可以为结构稳定性分析提供新的方法.

Based on the finite element simulation and experimental method, the buckling behavior of circular plate subjected to indirect nonuniform tension is analyzed by stretching the rectangular plate where only a circular region at the center of a rectangular plate is allowed to buckle out of plane. On the basis of the analytical solution about the critical buckling load of a circular plate under uniform pressure, an assumption that the critical buckling load of the nonuniform stretched circular plate applied to structural boundary is proportional to the value of elastic modulus, as well as the ratio of plate thickness(h) and circular diameter(d) is made;finite element method is used to fit the proportionality coefficient(critical buckling coefficient) of a specific geometric scale structure. Some relevant experiments are designed and carried out to verify the reliability of the simulation.The results show that the value of the critical buckling coefficient varies with the structure length-width ratio(L/B), Poisson’s ratio and diameter-width ratio(d/B). This research work can provide a new method for the analysis of structural stability.