刘福林. 用Mises屈服条件求内边界固支环板的极限荷载[J]. 工程力学, 2003, 20(1): 162-165.
引用本文: 刘福林. 用Mises屈服条件求内边界固支环板的极限荷载[J]. 工程力学, 2003, 20(1): 162-165.
LIU Fu-lin. EVALUATION OF ULTIMATE LOAD OF INNER-EDGE-CLAMPED ANNULAR PLATES BASED ON MISES YIELD CRITERION[J]. Engineering Mechanics, 2003, 20(1): 162-165.
Citation: LIU Fu-lin. EVALUATION OF ULTIMATE LOAD OF INNER-EDGE-CLAMPED ANNULAR PLATES BASED ON MISES YIELD CRITERION[J]. Engineering Mechanics, 2003, 20(1): 162-165.

用Mises屈服条件求内边界固支环板的极限荷载

EVALUATION OF ULTIMATE LOAD OF INNER-EDGE-CLAMPED ANNULAR PLATES BASED ON MISES YIELD CRITERION

  • 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屈服条件分析内边界固支环板在线性荷载与均布荷载共同作用下的极限荷载.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.针对线性荷载的不同分布形式,给出极限荷载的计算公式与数值结果,画出极限荷载的影响曲线,并与最大弯矩极限条件的数值结果进行了比较,说明本文结果是合理的.

     

    Abstract: For ultimate strength analysis of annular plates, the maximum bending moment is usually considered as a criterion. In this paper, the ultimate load of inner-edge-clamped, annular plates is evaluated based on the von Mises yield condition. The weighted residual method is employed to deal with the non-linearity resulting from the Mises yield condition. With reference to the boundary conditions and the equilibrium equations of moment, an appropriate trial function is chosen and the subdomain method is used to find the solution. Formulas and numerical results of the ultimate load are given for two typical linearly varying loads. The influence curve diagram for the ultimate load is plotted. Comparison is made with the results based on the maximum bending moment. The present approach is shown to be reasonable.

     

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