关键词: 广义变分原理, 双调和函数, 圆板, 混合边值问题

Abstract: By using the generalized variational principles of thin plate bending problem, a numerical method is proposed for a mixed boundary value problem of circular plate. The trial functions are constructed by using the series of particular solutions of the biharmonic equation. Two examples are presented to show the high convergence and reliability of the method.

Key words: generalized variational principle, biharmonic function boundary value problem circular plate, mixed