基于抗滑桩内力计算“m”法的有限差分法

来源期刊：中南大学学报(自然科学版)2001年第5期

论文作者：戴自航 彭振斌

文章页码：461 - 464

关键词：地基系数“m”法;抗滑桩;有限差分法;内力

Key words：foundation coefficient“m”method; stabilizing pile; finite difference method; internal force

摘    要：传统的弹性地基系数“m”法在计算抗滑桩或其他横向受荷桩内力时,由于需查表手算,不但计算过程繁琐,容易出错,而且受查用表格中各系数误差的影响,常使计算结果出现不同程度的误差.为此,作者基于“m”法的原理,提出了进行抗滑桩全桩内力计算的有限差分法.同时,编写了该法计算和图形处理程序,与传统方法进行了验证和对比.实例计算结果表明:只要等量差分段取得足够小,虽然所耗机时稍长,但可获得高精度数值解,其精度高于采用传统手算法所得解的精度,而且程序图形处理结果可优化抗滑桩的结构设计;该方法也可用来分析其他横向受荷桩,如桥梁桩基、海洋石油钻井平台桩基等的内力.

Abstract: The calculation tables need to be used when the internal forces of stabilizing piles are calculated according to the traditional elastic foundation coefficient“m”method. A large number of examples show that the calculation procedure is complicated and mistakes are made easily. Meanwhile, different calculation errors may occur because of the influence of errors of the coefficients in the tables. Thus, based on the principle of “m” method, the finite difference method is presented to analyze the internal forces of a whole pile. The calculation and figure treatments are programmed. The verification and comparison with the traditional method are performed by examples. An example shows that the high precise solution can be obtained as long as the segments are small enough, though more computing time may be consumed. Obviously, the calculation precision is better than that of traditional method. The results of figure treatments by the program can optimize the construction design of stabilizing piles. This method can be used in analyzing internal forces of other laterally loaded piles such as bridge piles and platform piles of oil drilling in oceans, etc.