修正迭代法求解球壳非线性弯曲问题

Modified Iteration Method on Nonlinear Bending Problem of Spherical Shell

基于薄壳理论和von Kármán假设,建立球对称变形下完整球壳非线性弯曲问题的基本方程,利用修正迭代法对该问题进行求解。研究结果表明,对于此类问题,修正迭代法是一种非常简便、有效和精确的求解方法。

Under the thin shell theory and condition of von Kármán,the governing equations of geometric nonlinear problem of symmetrically spherical shell under inner and external pressure are established.The equations are solved exactly by using the modified iteration method.The solution is proven to be a simple,exact,analytical and available one.