本文从悬垂管道用弯矩表示的平衡微分方程式出发,采用拉氏变换积分法求解,取其逆变换,结合边界条件而得其弯矩方程,由此积分并根据边界条件而得转角和挠度曲线方程,从而求出悬垂管道的内力和变形。引用实例说明并与柔绳理论结果作了对比。 In this paper, starting from the equilibrium differential equation represented by the bending moment of the overhanging pipe, the Laplace transform integral method is used to solve it, and its inverse transformation is taken. Combined with the boundary conditions, the bending moment equation is obtained. The integral and the corner and deflection curves are obtained according to the boundary conditions. The equation to find the internal force and deformation of the overhanging pipe. Citing example explanations and comparing them with the results of the Rousheng theory.