本文采用三次及二次样条函数定义的四阶及三阶的广义梁的微分方程出发,由于它采用了广义函数δ,可推导出连续荷载、间断荷载、集中荷载,集中弯矩等各种荷载及各种边界条件(简支、固定、自由)下的多项式梁函数,用最小势能原理推导弹性薄板变形曲面及应力,均获得精度较高的近似解。 Based on the differential equations of generalized beams of fourth and third order defined by cubic and quadratic spline functions, this paper can derive various kinds of continuous loads, intermittent loads, concentrated loads, concentrated moments and so on Load and various boundary conditions (simple support, fixed, free) under the polynomial beam function, using the principle of least potential energy to deduce the elastic sheet deformation surface and stress, to obtain high precision approximate solution.