With the stepped-reduction method, the solution of a circular and annular plate with arbitrary axisymmetrical boundary conditions and arbitrary vertical pressure can be obtained.

• 摘要利用阶梯折算法，由传递矩阵导出变厚度圆环板平衡问题的初参数解的显式表达式，将圆环板的优化设计转化为极小化目标函数的非线性规划问题。