不同地基模型下梁式基础的统一计算方法

The Unified Calculation Method of Beam Foundation in Different Ground Models

通过对三弯矩方程解连续梁的方法在弹性地基梁计算上的扩展,提出了半无限大弹性体、有限压缩层和温克勒三种地基模 型下梁式基础精确计算的新方法,使不同地基模型下梁式基础的计算达到了统一。文中推导得出了梁与地基共同工作的总柔度矩阵, 建立了用力法计算弹性地基粱的统一方程。且给出了在不同地基模型下利用该方程计算地基梁时总柔度矩阵的构建方法,进而给出 了采用本方法计算梁式基础的计算步骤。该算法可在任意基于地基是线弹性变形体假设的地基模型下使用。

By means of the method of three moments equation,by which continuous-beams are calculated is spread on computing beam on elastic foundation, this paper puts forward a new method by which the beam-style foundation on three kinds of ground models, such as semi-infinitely great elastic body ,limited compression layer and winkler, can be computed accurately,so that the computation methods of beam-style foundation on any ground model are unified. At the first section of the paper, the total flexibility matrix was derived and the unified force method equation was set up. The way to make up the total softy matrix in different ground model while the equation is used to calculate beam on elastic foundation was given at the second section of the paper. And the calculation step when the new method is used to calculate beam foundation is given further. This method is suitable for any groundwork model which assumes that the ground is a linear elastic body.