基于贝塞尔插值的土体先期固结压力求解

    Solution of pre-consolidation pressure of soil based on Bessel interpolation

    • 摘要: 土的先期固结压力(pc)是描述土体受力历史的重要指标,用卡萨格兰德(Casagrande)作图法求解土的先期固结压力通常受人为因素影响且计算较为复杂。为此,通过研究卡萨格兰德经验作图法已有成果,提出了一种改进方法,并用计算机编程加以实现。该方法将采集的数据点分段定义为贝塞尔曲线的起点和终点,求解出贝塞尔曲线定义式,然后再计算每一段曲线曲率点,最后相互比较即可得出曲线最大曲率点。该方法通过编制相应VBA及EXCEL程序便于工程应用。工程算例表明,该方法降低了人为因素影响,对试验数据具有较好的适应性,可在岩土工程的土体先期固结压力确定中推广应用。

       

      Abstract: The pre-consolidation pressure(pc) of soil is an important index that describes the force history of soil.Solving the pre-consolidation pressure of soil by Casagrande drawing method is usually affected by human factors and complicated to calculate.Through studying Casagrande empirical drawing method, we put forward an improved calculation method that is realized by computer programming.In this method, the collected data points are defined as the beginning and end points of the Bessel curves segmentally, and the definition equations of the Bessel curves are given.We then calculate the curvature points of each section of curves, and finally we derived the maximum curvature points by comparing each curvature point.The new method is compiled into corresponding calculation programs by VBA and EXCEL programming to facilitate the application.It shows that this method can reduce the influence of human factors and possesses better adaptability to test data, thus it is worthy of promotion in determining pre-consolidation pressure in geotechenique engineering.

       

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