用Mises屈服条件求固支环板的极限荷载
Evaluation of ultimate load of edge-clamped annular plates based on Mises yield condition
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摘要: 对于环板的塑性极限分析,通常应用最大弯矩极限条件,本文应用Mises屈服条件求固支环板在均布荷载作用下的极限荷载.考虑到Mises屈服条件的非线性,文中采用加权余量法进行分析.根据环板屈服时弯矩的边界条件和平衡方程,选取合适的试函数,并用加权余量法中的子域法进行求解,给出极限荷载的计算公式与数值结果,并与Tresca屈服条件的数值结果进行了比较.Abstract: For plastic ultimate strength analysis of annular plates,the maximum bending moment is usually considered as a criterion.In this paper,the ultimate load of edge-clamped annular plates is evaluated on the Mises yield condition.The weighted residual method is employed to deal with the non-linearity resulting from the Mises with reference to the boundary conditions and the equilibrium equations of moment,an appropriate trial function is chosen and subdomain method is used to find the solution.Formulas and numerical results of the ultimate load are given.Comparison is made with the results based on the Tresca yield condition.The present approach is shown to be reasonable.