基础梁边界约束作用的虚拟节点法

Virtual node method under constraint action of elastic foundation beams

在传统弹性基础梁内力分析的数值计算方法中,采用Winkler地基模型或双参数地基模型的缺陷是没有反映地基对梁端约束及地基应力扩散的影响。采用虚拟延展梁的方式来代替地基对梁端的约束作用,给出虚拟梁端参数的控制方程,建立新的、完整的基础梁的有限差分方程组的方法和求解控制条件。通过编制计算程序,选用典型算例,得到考虑地基对梁边界约束影响及应力扩散的基础梁的数值解答。本方法可供实际设计计算基础梁内力时,考虑地基对梁端约束作用时参考应用。

For the numerical analysis of elastic foundation beams working together with ground, the traditional methods of Winkler＇s or double-parameter model have some limitations in engineering. In order to consider the limitation at beam borders and stress diffusion in soil, the process of dummy nodes at beam borders, the control equations and their finite difference schemes are given. The examples by use of computer programs show the effect of beams working together with ground at the borders of the beams and the stress diffuse in soil. The present method can be used to analyze the beam stress in design of fotmdation engineering.