有限差分法在接触网钢柱挠度计算中的应用

Application of the Finite Difference to the Calculation of the Deflexion of the Steel Column of the Contact-line

简单介绍了有限差分法在悬臂梁弯曲计算中的数学模型的建立 ,对接触网钢柱 (以下简称钢柱 )各横截面的惯性矩的数学模型的建立作了简单分析 ,并用该方法对钢柱挠度进行编程计算 ,其理论计算与实测值比较吻合。在钢柱设计时 ,用该算法可以快速确定其挠度是否合适 ,并及时进行调整。在生产中用该算法也可以分析钢柱主、副角钢厚度变化对整个钢柱挠度的影响 ,从而要求在生产中应严格控制原材料的质量 ,使其外形尺寸必须符合标准要求。

Introduced the establshment of mathematical model of the finite difference in the calculation of the deflexion of the ancon in brief;analyzed how to establish the mathematical model of the inertia trisquares of all cross sections of the steel column of the contact line simply,and calculated the deflexion of the steel column in program,the result was consistent with the actual measurement.While designing the steel column,the method can help to fast decide if the deflexion is appropriate and adjust it in time.In production,analyze how the modify of the thickness of its main, subsidiary angle iron influences the whole steel column′s deflexion with this arithmetic also,and here by control the weight of the materials and make its shape size measure up to the standard.