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本文从集中荷载作用下铁路轨道的钢轨及弹性点支承连续梁的挠曲曲线是三次Spline曲线出发,利用Spline函数和工程力学基本知识,建立了挠曲曲线位移及二阶导数列向量满足的联立矩阵方程,从而可以解得钢轨位移、弯矩及剪力,同时,自然地给出挠曲曲线的表达式。与有限单元方法比较,本文方法具有公式推导简捷,思路清晰,便于计算机计算,而且计算工作量较小等优点。
Based on the Spline curve and the basic knowledge of engineering mechanics, the deflection curve of rail track and elastic beam supporting continuous beam under concentrated load is established. The deflection curve and the second derivative vector Matrix equation, which can be solved by rail displacement, bending moment and shear force, at the same time, given the expression of the deflection curve. Compared with the finite element method, this method has the advantages of simple formula derivation, clear thinking, easy calculation by computer and less computational workload.