矩形悬臂板的非线性弯曲是板理论中的一个相当困难的课题，至今还没有研究过。给出由三角函数和多项式组成的近似挠度函数w（x，y）和应力函数F（x，y），它们满足矩形悬臂板的部分边界条件。然后用广义伽辽金方法得到矩形悬臂板非线性弯曲问题的解。最后给出了算例。 The nonlinear bending of rectangular cantilever plates is a very difficult subject in the plate theory and has not been studied so far. An approximate deflection function w(x,y) and a stress function F(x,y) consisting of a trigonometric function and a polynomial are given, which satisfy the partial boundary conditions of a rectangular cantilever plate. Then the generalized Galerkin method is used to obtain the solution for the nonlinear bending problem of a rectangular cantilever plate. Finally, an example is given.