线性荷载作用下外固支环板的极限荷载分析

Solution to limit loads of clamped supported annular plate

应用Mises屈服条件分析外边界固支环板在线性荷载作用下的极限荷载.考虑到Mises屈服条件的非线性,应用加权余量法进行分析.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,说明结果是合理的.

By applying Mises yield criteria, the limit loads of clamped supported annular plate under linear loads are investigated. Due to the nonlinearity of Mises yield criteria, the weighted residual method is adopted. Clamped supported annular plate under two types of distributing forms of linear load are considered. The analytical formulae and numerical results of the limit load of annular plate by Mises yield criteria are given. The influence curves of limit loads on β(the ratio of internal diameter to external diameter of annular plate) are drawn and the results are compared with those obtained under the limit condition of maximum moment of force. From the influence curves, it is found that the curves change reasonably, and the results in this paper are reasonable.