凹圈型初始几何缺陷对外压球形封头临界载荷的影响

The Effect of the Single Dimple Initial Geometry Defect on Critical Load of External Compression Spherical Dome

依据 Koiter非线性弹性稳定性理论 ,分析了凹圈型初始几何缺陷对外压球形封头承载能力的影响。对于凹圈型初始几何缺陷 ,用带高斯指数调制因子的高次 Legendre多项式进行数学描述。由于在基本状态 ,球壳能量泛函的二次变分和三次变分的积分表达式极为复杂 ,在计算程序中需要使用高精度算法。计算结果表明 。

On the basis of non-linear elastic stability Koiter theory, an effect of the single dimple initial geometry defect on load-bearing capacity of spherical dome is analyzed. The single dimple initial geometry defect is described by using high order Legendre polynomial with modulation factor of Gauss index. Because it is in the basic state, the integral expression of sphere-shell energy functional quadratic variation and triple variation becomes very complicated and needs high precision algorithm in the course of calculation procedure. The results show that spherical dome bearing uniform external load is sensitive to the single dimple initial geometry defect identical with actual buckling modality.