MY准则解析部分均布载荷下简支圆板极限载荷

用平均屈服(MY)准则,对在部分均布载荷作用下的简支圆板进行塑性极限分析,求得了极限载荷的解析解.与Tresca,Mises屈服准则预测的极限载荷比较表明,MY屈服准则预测的极限载荷介于Tresca解和Mises解之间,且随着载荷施加半径Rl的增加,三解的差别减小.极限载荷与载荷施加半径Rl,圆板半径R以及板厚h之间的变化关系为:极限载荷随着Rl和R的增加而减小,随着h的增加而增加.

Limit Load Analysis of Simply Supported Circular Plate Under Partial Uniformly Distributed Load with MY Criterion

With MY (mean yield) criterion, the limit loads of simply supported circular plate under partial uniformly distributed load were analyzed, and the analytical solutions were obtained. The limit loads calculated by the present solutions were compared with those based on Tresca and Mises yield criteria. The results showed that the limit loads based on the MY criterion lie between the Tresca and Mises results, and the differences among them become smaller with the increasing of Rl, the radius of load applied. Besides, the variation of the limit loads with Rl, circular plate radius R, as well as the plate thickness h shows that, with the increasing of Rl and R, the limit loads decrease, while the limit loads increase with the increase of h.