作为计算埋地管道变形和强度的重要基础，给出了弹性地基梁的挠曲线微分方程(位移方程)。
As a important basis of calculating the distortion and strength of the buried pipeline, the paper gives out the space curve differential equations of elastic foundation-beam (displacement equation).
对欧拉梁的大变形问题进行了深入研究，直接从欧拉梁的非线性挠曲线微分方程，推导出求解梁挠度的一种简便有效的积分表达式。
Large deformation problems of Euler beams are studied. An efficient integration formula for the deflection is deduced directly from the nonlinear differential equation.
首次用无穷级数法求解了其临界屈曲时的挠曲线微分方程，并同时用能量法给出了其临界屈曲载荷计算公式。认为能量法求解这种情况下的屈曲载荷比较困难和复杂。
The deflection differential equation of string has been first solved by using infinite series method, and the formula of the buckling critical loads has been obtained with energy method.
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