采用非线性Rayeigh阻尼于问题的控制方程中。首先用小参数摄动法 ,把非线性偏微分方程的控制方法线性化 ,得出小参数的各阶渐近控制方程 ,得出头两阶渐近控制方程的解析解。再直接求解非线性控制方程 ,也得出头两次的渐近解。不但讨论了直形面重力水坝问题 ,还讨论了圆弧形拱坝问题。 Nonlinear Rayleigh damping is used in the governing equations of the problem. First, the method of small parameter perturbation is used to linearize the control method of nonlinear partial differential equations. The asymptotic control equations of each order with small parameters are obtained, and the analytic solutions of the first two-order asymptotic control equations are obtained. Then directly solve the nonlinear governing equations, but also draw the first two asymptotic solutions. Not only discussed the straight-face gravity dam, but also discussed the arc-shaped arch dam.